Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°

Answer:

y = x + 0.5

Step-by-step explanation:

so change x to 0

y = 0 + 0.5

y = 0.5

then change x again to confrimed it so change it to 1

y = 1 + 0.5

y = 1.5

Answer:

y = x + 0.5

Step-by-step explanation:

Answer:

C) 2BC = XY

Step-by-step explanation:

A) ZX || XY

No, sides of the triangle, not same size

B) BC || AB

No, sides of triangle

C) 2BC = XY

Yes, as BC║XY and YA= AX

D) YZ = AC

No, YZ║AC but is twice a length

Answer:

10 meters

Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...

Answer:

1/2

Step-by-step explanation:

Pick two points on the line

(2,0) and (4,1)

Use the slope formula

m= (y2-y1)/(x2-x1)

  = (1-0)/(4-2)

   = 1/2

Answer: B $2.22

Step-by-step explanation:

2 controllers will cost

= 2 x 18.50 = 37

6% tax = 37 x 0.06 = 2.22

Answer:

B

Step-by-step explanation:

i took the test

Answer: 34.27 sq. mm.

Step-by-step explanation:

Area of a triangle = hb / 2

= 8 x 4 / 2

= 32 / 2 = 16 mm

Area of the circle = πr^2

= π x 4^2

= 50 27 sq. mm.

Area of the shaded part

= 50.27 - 16

= 34.27 sq. mm

Answer: the answer is c, 34.24 mm

Step-by-step explanation: I just did the test

Answer:

y = -1/2x+2

Step-by-step explanation:

Two points on the line are (0,2) and (4,0)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (0-2)/(4 -0)

   = -2/4

    - 1/2

We know the y intercept is 2 since it crosses the y axis at 2

The slope intercept form is

y = mx+b where m is the slope and b is  the y intercept

y = -1/2x+2

Answer:

See below.

Step-by-step explanation:

First, from the graph, we can already pick out two points: (0,2) and (4,0). Note that (0,2) is the y-intercept.

Therefore, we can use slope-intercept form or [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

We already know the b, so:

[tex]y=mx+2[/tex]

Now, we can plug in the ordered pair (4,0) to help us determine the slope (or you can just use the slope formula for the two ordered pairs):

[tex]0=m(4)+2[/tex]

[tex]-2=4m[/tex]

[tex]m=-1/2[/tex]

Thus, the entire equation is:

[tex]y=-\frac{1}{2} x+2[/tex]

Answer:

B

Step-by-step explanation:

x(2x + 3)

Expand the brackets.

x(2x)+x(3)

Multiply the terms.

2x² + 3x

The answer is 2x² + 3x.

Answer:

I believe it is B. 2x2 + 3x

Step-by-step explanation:

Because x will go into 2x like 2x^2 and if you multiply x * 3 which it would equal 3x. That's the best I can explain it.

Hope my answer has helped you and if not I am sorry.

Answer:

12 Baseball cards

Step-by-step explanation:

So 1/4 of his cards is 6 so 24-6 is 18.

And 1/3 of 18 is 6 so 18 - 6 is 12.

Answer:

Angle ABC =70

Step-by-step explanation:

Divide 140 by 2 and apply the rule of alternante interior angles

In the given rhombus the unknown measure of ∠ABC is 70 degrees.

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other.

This means that the two interior opposite angles are equal to each other.

The opposite angle of ∠B is 140 degrees.

So the angle at  ∠B is also 140 degrees because the opposite angles of rhombus are equal.

As we finding the half of angle ∠B.

Divide 140 degrees by 2.

∠ABC=140/2

=70 degrees.

Hence, the angle measure given in the figure is 70 degrees.

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Answer:

1

Step-by-step explanation:

y = 2(-1)+3

y= -2+3

y= 1

Answer:

14

Step-by-step explanation:

sqrt(49*t)

Let t = 4

We know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(49) sqrt(4)

7 * 2

14

Answer:

Step-by-step explanation:

[tex]\sqrt{49*4}\\\sqrt{196}\\=14[/tex]

Answer:

y=2 and x=3

Step-by-step explanation:

2x-5y=16                  equation 1

3x+2y=5                    equation 2

multiplying equation 1 by 3 and equation 2 by 2 so that 6x-6x cancel each other

3(2x-5y=16)     6x-15y=48  equation 3

2(3x+2y=5)      6x+4y=10    equation 4

substracting equation 3 and equation 4

6x-15y=48

-6x-4y=-10 changing sign

-19y=38

y=-38/19

y=-2

putting the value of y in equation 1

2x-5(-2)=16

2x+10=16

2x=16-10

2x=6

x=6/2

x=3

  i have checked the values these are correct

i hope this will help you :)    

Answer: x = 3, y = -2   →    (3, -2)

Step-by-step explanation:

Using Elimination Method, multiply the equations by a number that allows the coefficients of either x or y to be the same number with opposite signs. Then add the two equations to solve solve for the remaining variable.

I choose to eliminate x:

2x - 5y = 16    -->   3(2x - 5y = 16)   -->    6x - 5y  = 48

3x + 2y = 5    -->   -2(3x + 2y = 5)   -->   -6x - 4y = -10

                                                                     -19y = 38

                                                                    ÷19    ÷19

                                                                        y  =  -2

Next, substitute y = -2 into either equation to solve for x.

I choose the 1st equation:

2x -  5y  = 16

2x - 5(-2) = 16

2x +  10   = 16

2x            = 6

x             = 3

Check your answer by inputting x = 3 and y = -2 into the other (2nd) equation:

3x + 2y = 5

3(3) + 2(-2) = 5

9    +   -4    = 5

      5          = 5  [tex]\checkmark[/tex]

Answer:

295,296,297

Step-by-step explanation:

Hope it's helpful. :-)

Answer:

[tex]y = x + 6[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Find the equation of the graph

First, we have to get the coordinates of any two points on the graph;

Point 1:

When x = 0; y = 6

Point 2:

When x = -6, y = 0

So, at this stage;we have two coordinates

[tex](x_1,y_1)(x_2,y_2) = (0,6)(-6,0)[/tex]

Next is to determine the slope of the line using the following formula

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute [tex](x_1,y_1)(x_2,y_2) = (0,6)(-6,0)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{0 - 6}{-6 - 0}[/tex]

[tex]m = \frac{- 6}{-6}[/tex]

[tex]m = 1[/tex]

Next is to determine the equation using slope formula

[tex]m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}[/tex]

using

[tex]m = \frac{y - y_1}{x - x_1}\ where\ m = 1\ x_1 = 0\ and \ y_1 = 6[/tex]

[tex]1 = \frac{y - 6}{x - 0}[/tex]

[tex]1 = \frac{y-6}{x}[/tex]

Multiply both sides by x

[tex]x * 1 = x * \frac{y-6}{x}[/tex]

[tex]x = y - 6[/tex]

Add 6 to both sides

[tex]x + 6 = y - 6 + 6[/tex]

[tex]x + 6 = y[/tex]

[tex]y = x + 6[/tex]

Hence, the equation of the line is [tex]y = x + 6[/tex]

Answer:

The turning point of the graph is at (3,-16)

Step-by-step explanation:

The general equation of curve is given as:

y = x² + ax + b

The two point for which the equation satisfies is (0,-7) and (7,0).

Substitute (0,-7) in the general equation:

y = x² + ax + b

-7 = 0² + a(0) + b

b = -7

Substitute (7,0) in the general equation:

y = x² + ax + b

0 = 7² + 7a + b

Where b = -7

0 = 49 + 7a - 7

0 = 42 + 7a

a = -6

The equation of the curve is:

a = -6 and b = -7

y = x² + ax + b

y = x² - 6x - 7

Graph of the equation is attached below.

We can see that the the turning point of the graph is at (3,-16)

Answer:

I would say the 2-cup container is the best buy.

Step-by-step explanation:

Value for money and 2 cups are enough.

Answer:

CD

Step-by-step explanation:

CD is perpendicular to XY and also cuts XY into two equal halves.

FH is not perpendicular to XY even though it cuts XY into two equal halves.

DH is not a line.

FG is perpendicular to XY but it does not cut XY into equal halves.

CD segment is the perpendicular bisector of XY¯.

The perpendicular bisector of a line segment is a line that passes through the midpoint of the segment and is perpendicular to the segment. It intersects the segment at its midpoint and divides the segment into two segments with equal lengths.

Of the given options, only CD intersects XY at its midpoint and divides the segment into two segments with equal lengths. Therefore, CD is the perpendicular bisector of XY.

The other options do not intersect XY at its midpoint or do not divide the segment into two segments with equal lengths. For example, FH intersects XY at point H, but point H is not the midpoint of XY. Additionally, the segments HF and FH do not have equal lengths.

Therefore, the answer is CD.

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Answer:

150 m

Step-by-step explanation:

Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,

1. Find the diameter of the circle, which is also 150m

2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)

If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,

75 + 75 = 150m

Answer:

$27.14

Step-by-step explanation:

Given the following :

Discount on Jean:

20% off the original price = (100 - 20) × original price = (80% × original)

Original price = $32

Sales price after discount :

(80/100) × $32

0.8 × $32

= $25.6

Tax fee on sales price :

Tax rate = 6%

(6/100) × $25.6

0.06 × $25.6 = $1.536

Therefore, final cost of the Jean ;

Discounted price + tax fee

$25.6 + $1.536

= $27.136

= $27.14

Answer:

b)7c∛d⁵

or

c) 7c∛d⁵

Both options are the same

Step-by-step explanation:

In the above diagram, we are asked to simplify this:

= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d

Collect the like terms

=  ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d

= c¹/⁴ × 1/2c³/⁴  ×  2d⁴/³ × 7d¹/³

= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)

= 1/2c(¹) × 14d(⁵/³)

= 1/2c× 14d(⁵/³)

Collect the whole number together

= 1/2× 14 [C   × d(⁵/³)]

= 7cd⁵/³

Writing it in a radical form

= 7c∛d⁵

Answer: x + 6/100x = 50.88

Price before tax will be $48

Step-by-step explanation:

The equation will be

x + 6/100x = 50.88

x+0.06x = 50.88

1.06x = 50.88

x = 50.88 / 1.06 = 48

Answer:

D)Both parabolas open to the right, and [tex]x=2y^2[/tex] is wider than [tex]x=8y^2.[/tex]

Step-by-step explanation:

Standard equation of parabola :

[tex]y=a(x-h)^2+k.[/tex]

If a < 0, then the parabola open downwards and if a > 0, then the parabola open upwards.

[tex]x=a(y-k)^2+h[/tex]

If a < 0, then the parabola open left and if a > 0, then the parabola opens right

Given equations : [tex]X=2y^2[/tex] and [tex]X=8y^2[/tex]

[tex]x=2(y-0)^2[/tex] and [tex]x=8(y-0)^2[/tex]

in both the equations a>0

So, Both parabolas are open to the right.

Refer the attached graph

[tex]x=2y^2[/tex] ---- Red

[tex]x=8y^2[/tex] --- blue

So, [tex]x=2y^2[/tex] is wider than [tex]x=8y^2.[/tex]

So, Option D is true

Answer:

A

Step-by-step explanation:

This is a linear function whose slope is -3 and whose y-intercept is (0, 2).  Answer A is correct.

Answer:

21.95

Step-by-step explanation:

They are both correct.

By multiplying the original price of the book by 30%. Oscar is finding the amount of the discount. He then takes the discount off of the original price by subtraction. 28.50 * .30 = 8.55; 28.50-8.55 = 19.95; After he finds the new price he calculates the tax and adds it to the book price. 19.95 * .10 = 2.00 = $21.95

Instead of finding the amount of the discount, Kim found the amount she would have to pay after the 30% was subtracted from the 100%. This left 70% that had to be paid. 28.50 * .70 = 19.95; Then Kim knew that she had to pay this entire amount which was 100% plus another 10% for tax which is 110% so 19.95 * 1.10 = $ 21.95

Both Oscar and Kim got the same amount and they both had enough money to buy the book

Answer:

A

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

8x³

Put x as 3 in the expression.

8(3)³

Solve the power.

8(27)

Multiply.

= 216

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17