20 POINTS
510√




a2√2

b5√

c10√2

d2√

Answer:

it's the one all the way to the right

Answer:

the new point would be (1, 10).

Step-by-step explanation:

if you start with the point (6, 7) and go left 5 units and up 3 units, then the new point you land on is (1, 10) as you can see in the picture below. hope this helped!

Answer:

22%

Step-by-step explanation:

The percentage of tax can be found by calculating the percent change.

new - old / old

6084 - 7800 / 7800

= -0.22 or -22%

This means the price decreased by 22%, meaning you paid 22% in taxes.

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Answer:

bc 0<0.35<1

and 5 is more than 1

Step-by-step explanation:

Answer:

It is less because the number 0.35 has a lower value meaning that it has less value.And the 5 is like a whole.

Step-by-step explanation

Say if you had 5 pizza's that would be more then just having the top of the pizza.

Answer:

The answer is B

Step-by-step explanation:

The solution is -3 by the way

Answer:

I. The point (6, -2) is not a solution for the given equation

II. The slope of the line going through (-4, 1) and (-7, -5) is 2

III. The slope of the line x = -7 is ∞

IV The slope of the line y = -6 is 0

V. The coordinate of the x-intercept is (12.5, 0)

The coordinate of the y-intercept is (0, 25)

VI. The equation of the line is y = 17·x + 59

Step-by-step explanation:

I. The given equation is -4·x - 5·y = 32

The given point = (6, -2)

Therefore;

The x-coordinate value of the point = 6

The y-coordinate value of the point = -2

Plugging in the x and y-coordinate values into the given equation gives;

-4 × (6) - 5 × (-2) = -14 which does not correspond to the given equation, therefore, the point (6, -2) is not a solution for the given equation;

We can also show, by making y the subject of the formula of the given equation, weather the point is a solution of the given equation as follows;

-4·x - 5·y = 32

y = (-4/5)·x - 32/5

For x = -2, we have;

y = (-4/5) × (-2) - 32/5 = - 4.8

Therefore, the point (6, -2) where y = 6 when x = -2 is not a solution of -4·x - 5·y = 32

II. The slope of a straight line, given two points on the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where the two points are (-4, 1), and (-7, -5), we have;

x₁ = -4, y₁ = 1, x₂ = -7, and y₂ = -5

[tex]Slope, \, m =\dfrac{-5-1}{-7-(-4)} =2[/tex]

The slope, m, of the line going through (-4, 1) and (-7, -5) is m = 2

III. The slope of the line x = -7 = ∞ because, the difference in the x-value which is the denominator of the slope equation = 0 for all differences in the y-coordinate values

IV The slope of the line y = -6 is 0 because, the difference in the y-values which is the numerator of the slope equation = 0 for all differences in the x-coordinate values

V. The x and y-intercept of an equation is found by finding the values of the variable, x or y, in the equation, when the other variable, y or x is equal to zero respectively, which is given as follows;

The given equation is y = -2·x + 25

When y = 0, we have the x-intercept as 0 = -2·x + 25

∴ 2·x = 25

x = 25/2 = 12.5

Therefore, the coordinate of the x-intercept is (12.5, 0)

When x = 0, we have the x-intercept as y = -2·x + 25 = -2 × 0 + 25 = 25

The coordinate of the y-intercept is (0, 25)

VI. The general equation of a straight line is y = m·x + c

Where;

m = The slope of the line

c = The y-intercept

For the  line that goes through the points (-3, 8) and (-4, -9), we have;

[tex]The \ slope, \, m =\dfrac{-9-8}{-4- (-3)} = \dfrac{-9-8}{-4+3} = 17[/tex]

The equation in point and slope form is y - 8 = 17 × (x - (-3))

∴ y  = 17·x + 51 + 8 = 17·x + 59

The equation of the line is y = 17·x + 59

Answer:

72.9

Step-by-step explanation:

Multiply your first 2 terms

4.5* (-9) = -40.5

multiply this by -1.8

-40.5*-1.8 = 72.9

Answer:

−72.9 / option B

Step-by-step explanation:

(4.5)(-9)(1.8)

Step 1: (4.5) x (-9) = (-40.5)

Step 2: (-40.5) x (1.8) = (-72.9)

Answer:

Two perpendicular segments are segment AB and segment CD

Step-by-step explanation:

The given construction with the straight edge and the compass gives;

1) A straight line CD

2) A line AE from the center of the circle A, to the line CD

3) The circles A and B constructed from the centers A and B respectively

Therefore

Whereby the points A and B are joint by the line AB, we have;

The line passing through the points C and D is the perpendicular bisector of line AB

Therefore, two perpendicular segments are segment AB and the perpendicular bisector of AB which is segment CD

Hi!

The equation we're working with is in slope-intercept form:

[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]

Where:

[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]

[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]

I hope that helped, have a wonderful rest of your day! :)

The slope of the line is 4 and the y-intercept of the line is -5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,

y = mx + c

y = 4x - 5

Slope m = 4

Y-intercept = -5

Therefore, the slope of the line is 4 and the y-intercept of the line is -5.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

1 = 2x      2= -3    4 =3

Step-by-step explanation:

Answer:

1. 5x-3=-15

2. -15/5=-3

3. -15/-3=5

Step-by-step explanation:

Hope this helps :)

Answer:

24

Step-by-step explanation:

20+20% is equal to 24.

Answer: 5 pounds

Step-by-step explanation:

80 / 16 = 5

Answer:

5 pounds

Step-by-step explanation:

Hope this helps!

Answer:

3.514 degrees per hour

Step-by-step explanation:

To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)

y2-y1 / x2-x1

-12.3 - 0 / 3.5

3.514 degrees per hour

Answer:

x=-9

Step-by-step explanation:

x+5^2=16

x+25=16

x=-9

Answer :

x + 5² = 16

x + 25 = 16

x = 16-25

x = -9 is the answwr

Hope it helped

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

The interval is -2 <= x <= 3 (A).

Answer:

more than 1 step?

Step-by-step explanation:

if there are multiple steps. then theirs more than 1

Answer:

okay, but with what should i help?

Answer:

[tex]\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18[/tex]

Step-by-step explanation:

By properties of parallelograms we know that opposite are the same so we have

[tex]12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}[/tex]

so for the angles we have

[tex]\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162[/tex]

Answer:

I will explain each step

3(x-y) / 2 =9

so first you have to make the equation equal to 0 so you can find the intercepts

3(x-y) /2  -9 =0

now simplify

3x-3y/2 -9 =0

2(3x-3y/2 -9)=0(2)

3x-3y-18

we will factor

3(x-y-6)

3=0

(x-y-6)=0

make the x=0 to find y and vise versa

(-y-6)=0

-y=6

y=6/-1 or -6

(x-6)=0

x=6/1 or 6

2/3x +4(y-2)=0

it is already equal to 0 to we simplify and factor

3(2/3x = 4(y-2)= 0(3)

2x+ 4y -8

2(x+y-4)

2=0

as we did in the last problem make x=0 then do the same to y

(y-4)=0

y=4

(x-4)=0

x=4

Step-by-step explanation:

I believe the answer is -12x, so sorry if that is incorrect.

Answer:

12x

Step-by-step explanation:

17x+(-5x)=17x-5x=12x

Answer:

$6889.89

Step-by-step explanation:

6321/100=63.21

63.21x4.5=284.445

284.445x5=568.89

568.89+6321=$6889.89

Answer:

40°

Step-by-step explanation:

180- (90 + 40) = 50°

Angle 1 = 50°

180 - 50 = 130°

Angle 2 = 130°

180 - 130 = 50°

Angle 3 = 50°

180 - (90 + 50) = 40°

Angle 5 = 40°

OR

the two triangles are similar. Therefore, their angles are congruent. Since the tringle was only flipped and made slightly smaller, angles 9 and 5 are corresponding angles. (Both have the same measure of 40°)

Hope this helps. Have a nice day

Answer:

D

Step-by-step explanation:

Answer:

Part I)

[tex]a=-1\text{ and } c=2[/tex]

Giving the equation:

[tex]y=-x^3+x+2[/tex]

Part II)

(-1, 2)

Step-by-step explanation:

We have the equation:

[tex]y=ax^3+x+c[/tex]

Where a and c are constants.

We are given gradient/slope of the curve at the point (1, 2) is -2.

Part I)

We know that the gradient of the curve exactly at the point (1, 2) is -2.

So, we will differentiate our equation. We have:

[tex]\displaystyle y=ax^3+x+c[/tex]

Differentiate both sides with respect to x:

[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3+x+c\big][/tex]

Expand the right:

[tex]\displaystyle y^\prime=\frac{d}{dx}\big[ax^3]+\frac{d}{dx}\big[x\big]+\frac{d}{dx}\big[c\big][/tex]

Since a and c are simply constants, we can move them outside:

[tex]\displaystyle y^\prime=a\frac{d}{dx}\big[x^3]+\frac{d}{dx}\big[x\big]+c\frac{d}{dx}\big[1\big][/tex]

Differentiate. Note that the derivative of a constant is simply 0.

[tex]\displaystyle y^\prime=3ax^2+1[/tex]

We know that at the point (1, 2), the gradient/slope is -2.

Hence, when x is 1 and when y is 2, y’ is -2.

So (we don’t have a y so we can ignore it):

[tex]-2=3a(1)^2+1[/tex]

Solve for a. Simplify:

[tex]-2=3a+1[/tex]

Subtract 1 from both sides yield:

[tex]-3=3a[/tex]

So, it follows that:

[tex]a=-1[/tex]

Therefore, our derivative will be:

[tex]y=-3x^2+1[/tex]

Now, we can go back to our original equation:

[tex]y=ax^3+x+c[/tex]

Since we know that a is -1:

[tex]y=-x^3+x+c[/tex]

Recall that we know that a point on our curve is (1, 2).

So, when x is 1, y is 2. By substitution:

[tex]2=-(1)^3+1+c[/tex]

Solve for c. Simplify:

[tex]2=-1+1+c[/tex]

Then it follows that:

[tex]c=2[/tex]

Hence, our entire equation is:

[tex]y=-x^3+x+2[/tex]

Part II)

Our derivative is:

[tex]y^\prime=-3x^2+1[/tex]

If the gradient is -2, y’ is -2. Hence:

[tex]-2=-3x^2+1[/tex]

Solve for x. Subtracting 1 from both sides yields:

[tex]-3=-3x^2[/tex]

So:

[tex]x^2=1[/tex]

Then it follows that:

[tex]x=\pm1\\[/tex]

Since we already have the point (1, 2) where x is 1, our other point is where x is -1.

Using our equation:

[tex]y=-x^3+x+2[/tex]

We can see that our second point is:

[tex]y=-(-1)^3+(-1)+2[/tex]

Simplify:

[tex]y=1-1+2=2[/tex]

So, our second point where the gradient is -2 is at (-1, 2).

Answer:

[tex]m=\frac{5}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-10, -4)

Point (10, -29)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer: -1.25

Step-by-step explanation:

You can use a graph to help. Plot the points first, then draw a line through them. Then, count the points that rise, over the amount of points that run.

You can also do it the computational way without a graph.

Use this equation:

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

Answer:

50 and 80 or 65 and 65

Step-by-step explanation:

two angles in an isosceles are the same.

Answer:

x=-2

Step-by-step explanation:

same on both sides

Answer:

22 m/s

Step-by-step explanation:

We know the car travels 374 m in 17 seconds, so to find out how far it travels in 1 second, divide 374 m by 17 seconds:

unit rate in m/s = 374 m / 17 s = 22 m/s