Can some one do one two and four

Algebra 2 I am really lost on this topic

The vertices of the polygon before and after dilation are shown below

preimage         Image

J (-5, 3)            J' (-5/2, 3/2)

K (2, 3)            K' (1, 3/2)

L (2, -3)           L' (1, -3/2)

M (-5, -3)        M' (-5/2, -3/2)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The rule used in  transformation is as follows

(x, y) for a scale factor of r → (rx, ry)

Applying the rule to the vertices  of the polygon we have

preimage                                  Image

J (-5, 3)      (1/2 * -5, 1/2 * 3)      J' (-5/2, 3/2)

K (2, 3)       (1/2 * 2, 1/2 * 3)       K' (1, 3/2)

L (2, -3)      (1/2 * 2, 1/2 * -3)       L' (1, -3/2)

M (-5, -3)    (1/2 * -5, 1/2 * -3)     M' (-5/2, -3/2)

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a) The unit rate of change of d with respect to t is equal to 1.6

b) the graph of the line in the attached figure.

Given: A proportionate relationship between d and t with the characteristic that a rise in t of 5 units causes a rise in d of 8 units.

To locate: A rise of 5 units in t causes a rise of 8 units in d, according to the line's unit rate of change with respect to t.

=> Slope  =   Δd/Δt   = 8/5 = 1.6

the proportional relationship between d  and t

=> d ∝ t

=> d = 1.6t

t           d=1.6t

0          0

1           1.6

2           3.2

3           4.8

Plot the points and draw a line passing through points.

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The required number of ways to write 9 as sum of 1, 2, 4 is 96 ways.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.

Two fours and one one Three numbers must be added up. Any one of the three spaces will accept a one before fours are used to fill the remaining slots. There are thus 3 possible arrangements for these. Thus, there are

1 + 8 + 21 + 6 + 20 + 20 + 5 + 12 + 3 = 96 ways

Thus, there are 96 ways to write 9 as sum of 1, 2, 4.

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The equation for the vertex's x-coordinate and the axis of symmetry is:

[tex]$x=\frac{-b}{2 a}[/tex]

The standard form of a parabola is y = a x² + + bx + c, where [tex]$a \neq 0$[/tex]

A parabola's vertex is its minimum or maximum point. The vertex is the smallest point and the parabola widens upward if a>0. Vertex is maximal point and parabola widens downward if a=0.

You must ascertain the x and y coordinates in order to determine the vertex.

The equation for the vertex's x-coordinate and the axis of symmetry is:

[tex]$x=\frac{-b}{2 a}[/tex]

To find the y-coordinate of the vertex, substitute the value for x into the equation and solve for y.

[tex]$y=a\left(\frac{-b}{2 a}\right)^2+b\left(\frac{-b}{2 a}\right)+c[/tex]

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The only value that is a solution of the inequality -9> -4+5x is the first one, x = -5.

Here we have the inequality:

-9> -4+5x

And we want to see which of the given values is a solution for that inequality.

The first option is x = -5

Replacing that value we will get:

-9 > -4 + 5*-5

-9 > - 4 - 25

-9 > -29

This is true.

The second option is x = 2

-9> -4+5*2

-9 > -4 + 10

-9 > 6

This is false.

The last option is x = -1

-9 > -4 + 5*-1

-9 > -9

This is false.

Then the only solution is the first one, x = -5.

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Answer:

A.  293 dolls each

B.  710 beads

C.  (n+n)/3 >2xy

Step-by-step explanation:

1.  Let A be the number of dolls collected by Gelyn and B the number collected by Geraldine.  

At the start:

 A = 1,178, and

 B = 588

Girlie gets the same number of dolls from both, which we'll say is x.  The situation is then:

Gelyn:  A - x

Geraldine = B - x

Girlie = 2x

After the transfer, we find that A-x = 3(B-x)  [Gelyn had 3 times as many dolls left as Geraldine]

Lets rearrange this last expression:

A-x = 3(B-x)

A-x = 3B-3x

2x=3B-A

Use the values of A and B to find x:

2x=3(588)-(1,178)

2x = 586

x =  293

Gelyn  and Geraldine each gave Girlie 293 dolls.

========

2.  Let A, B, and C stand for the number of beads in Boxes A, B, and C, respectively.  We are told that:

 A + B + C = 4342 [Box A, Box B, and Box C contain 4,342 beads altogether]

and learn that:  

A+18 = B, and  [There are 18 more beads in Box B than Box A]

C = 3B              [There are 3 times as many beads in Box C as in Box B]

How many beads in Box A?

We have three equations.  Lets find a way to substitute so that we can eliminate the unknowns B and C.

Look at:   A + B + C = 4342

If we can rearrange the other equations to express the variables B and C in terms of A, we could solve the problem.

A+18 = B becomes B=A+18  [We can now calculate B from A]

The second, C = 3B, does not have A, but we can use the above expression for B, which will allow C to be expressed as a function of A:

C = 3B

C = 3(A+18)

C = 3A + 64   [We can now calculate C from A]

Use these definitions of B and C in the first equation (substitution):

A + B + C = 4342

A + (A+18) + (3A + 64) = 4342

6A + 82 = 4342

6A = 4260

A = 710   Box A has 710 beads

3.  The sum of x and n divided by 3 more than twice the product of x times y

          (n+n)/3        [The sum of x and n divided by 3]

         >2xy            [more than twice the product of x times y]

Put these together:

    (n+n)/3 >2xy

Answer: 4.2

Step-by-step explanation: First, you'd need to re-arrange the decimals so, you can get 4.65.........

Then, you round up to get about 4.7

Another way is to round up the decimals, so your new equation:

[tex]\frac{21}{5}[/tex]

Then, you'd divide to get 4.2. This way is more of an estimate than the 1st way; the 1st way is an exact answer [rounded] I hope this helped.

Answer:

  4.64

Step-by-step explanation:

You want an estimate of the quotient 21.4/4.6.

Multiplication and division by 5 are simplified by the relation ...

  5 = 10/2

Here, the denominator is about 5, so the quotient is about ...

  21.4 × 2/10 = 42.8/10 = 4.28 ≈ 4.3 . . . . . a first estimate; known to be low

We notice that 4.6 is 0.4 less than 5, which is 0.8/10 = 0.08, or 8% less. That means the actual quotient will be on the order of 8% more than 4.3.

A closer estimate would be ...

  4.3 + 0.08 · 4.3 = 4.3 +0.344 ≈ 4.64

An estimate of the quotient is 4.64.

__

Additional comment

To compute our "error correction," we rounded 4.28 up to 4.3, about 2 parts in 400, making that number (4.3) be about 0.5% high. The estimate of 1/0.92 ≈ 1.08 turns out to be about 0.7% low. This means an even better estimate would add 0.2%, or about 0.009, to the estimate we have, making it about 4.653. These second-order corrections are also slightly off. The actual quotient rounds to 4.652.

Doubling a number is so easy that we elected to keep all of the digits of the numerator when we did the division by 5. This gave a more satisfying 4.3 instead of 4 as the first estimate.

Answer: The answer is B

Step-by-step explanation:

4( the tip) +5 (# of family) * x( unknown cost of hot dog) = 29 (total)

The least count of Vernier calipers is 0.01cm and The length of the line is 10.23cm

Mean scale division:

The main scale is graduated with one division value equal to 1 mm. The length of the Vernier scale is the same as the n- scale of the Vernier scale and the (n-1) scale of the main scale.

Vernier Scale Division:

The minimum Vernier caliper number is also called the Vernier constant. Defined as the difference between the major and Vernier scales is represented mathematically as:

          VC = 1 MSD – 1 VSD

If the Vernier scale has n divisions, it matches the (n-1) divisions of the main scale. Vernier Caliper :

LC = ( 1 - [tex]\frac{n-1}{n}[/tex])  MSD

According to the problem

1MSD= 1mm

MSR = 10.2cm

Here, 10VSD  = 9MSD

          1VSD   = (9/10)MSD

                      =(9/10)×1mm

                      = (9/10)mm

Least count of Vernier calipers L.C = 1MSD - 1VSD

                                                           =1mm - (9/10)mm

                                                           =0.01mm

Therefore, Least Count (LC) = 0.01cm

Therefore,

Length of the line = MSR + (VSD × L.C)

                             = 10.2 + (3 × 0.01)

                             = 10.2+(0.03)p

                             = 10.23 cm

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Answer:

Step-by-step explanation:

3x² + 2 * 3x * 5 - 5²

= 3x^2 +2 * 3x * 5 - 25 ( then do 2*3x*5 = 30x)

=3x^2+30x-25

According to the unitary method the smallest check they can receive so that both their earnings match is at the time of 2 or 3 hour.

Unitary method in math is known as in which the value of one article is first obtained to find out the value of any required articles

Here we have given that Jake makes $10 dollars an hour and Judy makes $15 dollars an hour.

Let us consider that x be the amount hour did they get the same amount.

Then it can be calculated as,

=> 15x = 10x

While we substitute the value on the x by finding the LCM for each of the  number than we get,

=> 15, 10 = 2,3

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a)

b) The slope-intercept definition of the linear function is given as follows:

y = 3x + 3.50.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Two points on the linear function in this problem are given as follows:

(2, 9.50) and (5, 18.50).

The slope is given by the division of the change in y by the change in x, hence:

m = (18.50 - 9.5)/(5 - 2)

m = 9/3

m = 3.

Representing the hourly charge.

Hence:

y = 3x + b.

When x = 2, y = 9.50, hence the intercept b, representing the rental fee, is given as follows:

9.5 = 3(2) + b

b = 3.50.

Meaning that the function is defined as follows:

y = 3x + 3.5.

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On solving the provided question, we can say that permutation will = 1/2(26) = 13 ways

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

here,

by permutation,

1 through 26

permutation will = 1/2(26) = 13 ways

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Answer:

58.27 mm (2 d.p.)

Step-by-step explanation:

Assuming the given prism is a rectangular prism, triangles ADC and ACG are right triangles.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Cos trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

AC is the hypotenuse of right triangle ADC.  

Therefore, we can use the cos trigonometric ratio to create an expression for the length of AC:

[tex]\implies \cos\left(36^{\circ}\right)=\dfrac{AD}{AC}[/tex]

[tex]\implies \cos\left(36^{\circ}\right)=\dfrac{42}{AC}[/tex]

[tex]\implies AC=\dfrac{42}{\cos\left(36^{\circ}\right)}[/tex]

AC is the hypotenuse of right triangle ACG.  

Therefore, we can use the cos trigonometric ratio to create an expression for the length of AG:

[tex]\implies \cos\left(27^{\circ}\right)=\dfrac{AC}{AG}[/tex]

[tex]\implies AG=\dfrac{AC}{\cos\left(27^{\circ}\right)}[/tex]

To find the length of AG, substitute the found expression for AC into the expression for AG:

[tex]\implies AG=\dfrac{\frac{42}{\cos\left(36^{\circ}\right)}}{\cos\left(27^{\circ}\right)}[/tex]

[tex]\implies AG=\dfrac{42}{\cos\left(36^{\circ}\right)} \times \dfrac{1}{\cos\left(27^{\circ}\right)}[/tex]

[tex]\implies AG=\dfrac{42}{\cos\left(36^{\circ}\right)\cos\left(27^{\circ}\right)}[/tex]

[tex]\implies AG=58.2654039...[/tex]

[tex]\implies AG=58.27\;\sf mm \;(2\;d.p.)[/tex]

The answer reads "40," is the correct response to the earlier question.

What is median ?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the centre of a sequence to determine its value.

There are data of 9 students and we need to arrange them in ascending order to find our answer.

So, the arrangement looks like the following:

⇒ 25, 35, 45, 50, 60, 80, 90, 95, 100

We are aware that

In all cases, the middle value is the median.

Therefore, it is safe to say that the Median of the aforementioned arrangement is 60.

Hence, Median of the numbers on the left of the median is 60=35+45/2 = 40

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The center and vertices of the ellipse x² + 9y² + 16x - 54y + 136 = 0 is

Generally, The standard form of the equation of an ellipse is (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the center of the ellipse and a and b are the semi-major and semi-minor axes respectively.

To convert the given equation to standard form, complete the square by adding and subtracting constants to both sides: x² + 16x + 81 + 9y² - 54y + 324 = 410

This results in: (x + 8)²/16 + (y - 3)²/9 = 1

Therefore, the center of the ellipse is (h,k) = (-8,3) and the semi-major and semi-minor axes are a = 4 and b = 3.

To find the vertices of the ellipse, substitute the center coordinates into the equation of the ellipse and solve for x and y. Since the semi-major and semi-minor axes are 4 and 3, respectively, the vertices are located at: (h ± a, k) = (-8 ± 4, 3) and (h, k ± b) = (-8, 3 ± 3)

Therefore, the vertices of the ellipse are (-12,3) and (-4,3), (-8,6) and (-8,0).

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Audrey is 244 kilometers far from its starting point, as of the given conditions.

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

Here,
Audrey walks 79 kilometers due west, then 240 kilometers due north, and finally 123 kilometers due east.
The distance between starting and final point is given as,
= √[240² + [123-73]²]
= √59536
= 244 kilometers

Thus, Audrey is 244 kilometers far from its starting point, as of the given conditions.

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According to the  management at Oak Tree Golf Course received a few complaints about the condition of the greens. and with the Several players complained that the greens are emerged too fast. Rather than to  react towards  the comments of just a few, the Golf Association conducted in a survey of male and female golfers.

One of the biggest things  in holding  along with mid- and high-handicappers back is hitting more greens in regulation, mainly because  of it’s the key (usually) to stress-free two-putt pars and  to the occasional birdie. It’s also  one of the best way to eliminate certain trouble. If mid- or high-handicappers are missing around the  greens, that’s when problems can pile up into picture . But we all need  certain goals.  to Tina Tombs, a former LPGA pro and to  a GOLF Top 100 Teacher, said a high-handicapper should set an certain  goal at seven greens in regulation, while a lower handicap should be  strive for 10 per round.

If they aren’t carrying any of the 200 yards, then they should play 6,000 or less then that and they don’t do that in terms of the Preisinger says. Because when you wanted to  play too far back you can have four or five penalty shots off  around the tee.

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The quadrilateral given is Parallelogram.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

(a) The quadrilateral is sketched as shown in the graph below.

(b) We have to write the equation of four lines AB, BC, CD and AD in the form y = mx + b. m is slope and b is intercept along Y axis.

Coordinates of vertices are A(-5, 2), B(-2, 6), C(3, 5) and D(0,1).

Equation of line AB :

Slope = (6 - 2) / (-2 - -5) = 4/3

Equation in point slope form is

(y - 2) = 4/3(x - -5)

y - 2 = 4/3 x + 20/3

y = 4/3 x + 26/3

Equation of line BC :

Slope = (5 - 6) / (3 - -2) = -1/5

Equation in point slope form is,

(y - 6) = -1/5 (x - -2)

y - 6 = -1/5 x - 2/5

y = -1/5 x + 28/5

Equation of line CD :

Slope = (1 - 5) / (0 - 3) = -4/-3 = 4/3

Equation in point slope form is,

y - 5 = 4/3 (x - 3)

y - 5 = 4/3 x - 4

y = 4/3x + 1

Equation of line AD :

Slope = (1 - 2) / (0 - -5) = -1/5

Equation in point slope form is,

y - 1 = -1/5 (x - 0)

y - 1 = -1/5 x

y = -1/5 x + 1

(c) Opposite sides are having the same slope.

From the sketch, opposite sides are equal.

So quadrilateral is either parallelogram or rectangle.

But if the figure is rectangle, adjacent sides are perpendicular and therefore the product of their slope is -1.

But it is not the case here.

So it is parallelogram.

Hence the given figure is a parallelogram.

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Two lines represented by the following equations are perpendicular to each other. Explanation is given below.

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

We have the equations:

a)6x²-5xy-6y² = 0

b) x²-y²+x+y=0

c) x² - y² = 0​

The above lines are the product of two separate lines.

To prove that the two lines represented by the following equations are perpendicular to each other:

We have drawn the graphs of all the three equations.

The attached images are equation 1, equation 2, equation 3 are in the order of a, b and c.

And we can clearly see that the lines are perpendicular.

The general formula of the equation,

ah²+ 2hk + bk² = 0.

When a+b = 0,

Then the lines are perpendicular.

The sum of the coefficients of order 2 variable is zero.

a). 6 - 6 = 0

b). 1-1 = 0

c). 1-1 = 0

Therefore, the proof is given above.

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Answer:

a. 12 sides

b. Not possible

Step-by-step explanation:

a.

[tex]d=\frac{1}{2} n(n-3)[/tex]

[tex]\frac{1}{2}n^{2}-\frac{3}{2} n=54[/tex]

multiply by 2

[tex]n^{2} -3n=108[/tex]

equation

[tex]n^{2} -3n-108=0[/tex]

factor

[tex](n-12)(n+9)[/tex]

[tex]n-12=0\\n=12[/tex]

b.

[tex]n^{2} -3n=33[/tex]

[tex]n^{2} -3n-33=0[/tex]

The roots of the equation are decimal numbers

The number of sides must be integer

So there is no polygon with 33 diagonals.

Hope this helps

Answer: the midpoint

Step-by-step explanation:

(a) On writing 299790000 in scientific notation , the value of a is 2.9979 and value of k is 8  .

(b) On writing 0.51 in scientific notation , the value of a is 5.1 and value of k is -1 .

What is Scientific Notation ?

The general form of writing a number in scientific notation is ⇒ [tex]a\times 10^{k}[/tex] ;

Part (a) ;

the number is given to be : 299790000 ;

For writing it in scientific notation, decimal point will be placed after 2 ;

So , the scientific notation of the number is ⇒ [tex]2.9979 \times 10^{8}[/tex] ,

On comparing it with the general form of scientific notation,

we get , a = 2.9979 and k = 8 .

Part (b) ;

the number is given to be : 0.51 ;

For writing it in scientific notation, decimal point will be placed after 5 ;

So , the scientific notation of the number is ⇒ [tex]5.1 \times 10^{-1}[/tex] ,

On comparing it with general form of scientific notation,

we get , a = 5.1 and k = -1 .

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Answer:

(6x + 15y) / x

Step-by-step explanation:

(2x + 5y) * 3/x =

3 * (2x + 5y) / x =

(3 * 2x + 3 * 5y) / x  ==> distribute 3 to 2x and 5y

(6x + 15y) / x ==> simplify

Answer: x = 1

Step-by-step explanation: 4(1-x) = 6(x-1)

 -  4-4x = 6x-6

 -  6x-4x = 6-4

 -  2x = 2

 - x= 1

The equation of the line is y = -5/2x + 5.

1. We know that the equation of a straight line is given by y = mx + c, where m is the slope of the line and c is the y-intercept.

2. We need to find the slope of line l. To find the slope, we can use the formula: m = (y2-y1)/(x2-x1). In this case, we have y2 = 1, y1 = 5, x2 = 2, and x1 = 0. Therefore, m = (1-5)/(2-0) = -4/2 = -2.

3. We now have the slope of line l, so we can find the equation of the line which is parallel to l and which passes through the point (3,0). To do this, we can use the formula y = mx + c, where m is the slope of the line and c is the y-intercept.

4. In this case, m = -2 and c is the y-intercept, which is the point at which the line intersects the y-axis.

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On solving the provided question, we can say that when the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

When the test statistic is chi-squared distributed under the null hypothesis, a statistical hypothesis test known as a chi-squared test—more specifically, Pearson's chi-squared test and its variations—is valid to execute.

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A food pantry is a solution to food insecurity, where people can donate non-perishable food items for those in need.

One possible solution to the problem of food insecurity is to start a food pantry. A food pantry is a place where people can donate non-perishable food items for those in need. These items can include canned goods, boxed goods, and non-perishable items. People can then come to the pantry and take what they need. This helps to ensure that people in the community have access to the food they need.

A food pantry is a solution to food insecurity, where people can donate non-perishable food items for those in need. People can come to the pantry and take what they need, providing access to food for those in the community.

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