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4 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Mathematics

1 answer:

kow [346]4 years ago

7 0

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

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21 help asap Brailiest pic below

Dominik [7]

Answer:

Step-by-step explanation:

The inverse is just the opposite it is a flip

7 0

3 years ago

Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)

Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

In triangle ABC:

$|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}$

In triangle MNO:

$|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }$

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

$|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8$

Hence O = (4, 8)

3 0

3 years ago

Complete the expressions that would make them a perfect square trinomial.

kirza4 [7]

Answer:

a) 16

b) 100

c) 64

d) $\frac{81}{4}$ [/tex]

Step-by-step explanation:

Perfect square trinomial:

A perfect square trinomial has the following format:

$(x \pm a)^2 = x^2 \pm 2ax + a^2$

x² – 8x

$x^2 - 8x = x^2 - 2ax$

So 2a = 8, a = 4. Then

$a^2 = 4^2 = 16$

The perfect square trinomial is $x^2 - 8x + 16$

b. x2 + 20x +

2a = 20, so a = 10

$a^2 = 10^2 = 100$

The perfect square trinomial is $x^2 + 20x + 100$

x² – 16x +

2a = -16, so a = -8.

$a^2 = (-8)^2 = 64$

The perfect square trinomial is $x^2 - 16x + 64$

d. x2 + 9x +

$2a = 9$ , so $a = \frac{9}{2}$

$a^2 = (\frac{9}{2})^2 = \frac{81}{4}$

The perfect square trinomial is $x^2 + 9x + \frac{81}{4}$ [/tex]

6 0

3 years ago

The large rectangle was reduced to create the small rectangle.

Tema [17]

Answer:

The ratio must be guaranteed.

Therefore,

18/6 =12/x

=> x= 6*12/18 = 4

7 0

3 years ago

solve the following system of equations express your answers as an ordered pair in the format (a,b) with no spaces between the n

Vlada [557]

The answer to your question is (4,1)

3 0

3 years ago

Read 2 more answers