Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.

In this case the center of dilation is located at F: (3,1)

The first step we must take is to find how many units point F is from vertex A.

In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)

Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)

4 * 0.25 = 1

8 * 0.25 = 2

This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:

1 unit vertically

2 units horizontally

Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:

Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)

Reference the second image to see this

Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.

~Just a girl in love with Shawn Mendes

Answer:

D 1,0

Step-by-step explanation:

credit to the one up above

Answer:

83/13 or 6.3846

Step-by-step explanation:

i subsituted for x and used a calculator

Answer:

y=2/3x-2

Step-by-step explanation:

Answer:

A (-4,9) B (-4,11) C (-6,10)

Last option is correct

Step-by-step explanation:

To rotate the vertices about the given point at 90 degrees, we follow the procedures below;

Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;

( -(n-y) + x , (m-x) + y)

Let’s now take the points individually;

(3,2 ) about (-4,2)

This becomes

(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)

The point (5,2) about (-4,2) becomes

(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)

and lastly

The point (4,4) about (-4,2) becomes

(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)

Answer:

yes they have 2 corresponding equal angles.

Answer:

B.

Step-by-step explanation:

12/52=6/26=3/13

Answer: c

Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.

Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Answer:

3.33 m/s

Step-by-step explanation:

speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]

Answer:

3 centimeters

Step-by-step explanation:

The computation of the change in the water level over the first two weeks of June is shown below:

= Rise in the water level - changed in the water level

= 7 centimeters - 4 centimeters

= 3 centimeters

hence, the change in the water level is  3 centimeter and the same is to be considered

We simply applied the above formula so that the correct value could come

Answer:

3

Step-by-step explanation:

Answer:

b. e

Step-by-step explanation:

Options B and E are the correct answers.

We need to describe the transformation of triangle XYZ to triangle X'Y'Z'.

Rotation is the circular movement of an object around an axis of rotation.

Now, from triangle XYZ to triangle X'Y'Z' the angle of rotation is 180°.

The translation is (x, y) → (–x, –y).

Therefore, options B and E are the correct answers.

To learn more about the transformation visit:

https://brainly.com/question/11709244.

#SPJ5

Answer:

The number is 8

Step-by-step explanation:

Answer:

-6/5

Step-by-step explanation:

The first thing that you will do is to remove the absolute value bars. So, it will look like this: 10+7+5x=11

Then, you will combine like terms. So, this is how it will look: 17+5x=11

Next, you will subtract 17 from both sides since it is a positive number, (use the subtraction property of equality) and it will look like: 17-17+5x=11-17

Then you get: 5x=-6

So, from there, you must divide. (use the division property of equality) 5x/5=-6/5

So, your answer is -6/5

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Answer:

you have to get 15 right so for 60% or above so you can miss 9

Step-by-step explanation:

60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15

Answer: 7

Step-by-step explanation:

Because if 6 is 75% we can conclude 7 is 71%

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

.....

....,..,.....

Answer:

45°

Step-by-step explanation:

Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin,  cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A = [tex]\frac{\pi}{2} + n\pi[/tex]. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function ([tex]tan^{-1}[/tex]) and plug in 1 to find the primary answer of 45.

Answer:

2.23606797749979

Midpoint

(2,−4.5)

Slope

0.5

x intercept

11.00

y intercept

−5.50

Step-by-step explanation:

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (1-3)2+(-5--4)2

d = √ ((-2)2+(-1)2)

d = √ (4+1)

d = √ 5

The distance between the points is 2.23606797749979

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(3+1)/2=2

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(-4+-5)/2=-4.5

The midpoint is: (2,-4.5)

Graphing the two points, midpoint and distance

P1 (3,-4)

P2 (1,-5)

Midpoint (2,-4.5)

The length of the black line is the distance between the points (2.23606797749979)

Find the slope of the line connecting the two points

Slope =  (Y2-Y1)  =  (-5--4)  =  (-1)  = 0.5

(X2-X1) (1-3) (-2)

Find the equation of the line passing through the two points

The general equation for a straight line is

y = mx + b

Where m represents the slope of the line which we found in the previous step to be 0.5

y = 0.50x + b

We substitute x and y for the values from one of our points (3,-4)

-4 = .50×3 + b

-4 = 1.50 + b

-4-1.50 = b

-5.50 = b

Knowing both b and m, we can contruct the equation of the line

y= 0.50x-5.50

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= 0.50x-5.50

0= 0.50x-5.50

-0.50x= -5.50

x= -5.50/-0.50 = 11.00

The x intercept for this straight line is 11.00

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= 0.50×0-5.50

y= -5.50

The y intercept for this straight line is -5.50

Answer:

15/56

Step-by-step explanation:

5/8 * 3/7 =

15/56

Answer:

15/56

Step-by-step explanation:

5/8 times 3/7

[tex]\frac{5 times 3}{8 times 7}[/tex]= 15/56 which is already in simplest form

Please correct me if I am wrong.

Answer:

i got an=-4+22 not thats not one of the answer choices..

Step-by-step explanation:

Answer:

$17.70

Step-by-step explanation:

123.90 / 7 = 17.7

Answer:

Jacky is correct

Step-by-step explanation:

If you look closely, There's another point A which an apostrophe. (A')

This normally means that this is  point A after a dilation was made.

The image got bigger.

Answer:

d

Step-by-step explanation:

Answer:

It is point d

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Scientific notation exponents are in order from least to greatest and 8.1 > 6

Answer:

-11 and 24

Step-by-step explanation:

(-3)-8=-3*(-8)=24

-3-8=-11

hope this helps

brainliest?