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mafiozo [28]
3 years ago
7

Need someone good at mathhhhg

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
THe answer is d because that s the answer that it said was correct on my
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The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
2 years ago
Write 45/30 in simplest form​
RideAnS [48]

Answer:

1 1/2

Step-by-step explanation:

SO first convert into mixed

1 15/30

Now simplify

1 1/2

IF YOU DONT WANT MIX AND LEAVE AS IMPROPER

3/2

7 0
2 years ago
-3p-(-8+4p) combining like terms & distributive property
Nutka1998 [239]
Work: -3p-(-8+4p)
Distribute
-3p+8-4p
Combine
-7p+8
Answer: -7p+8

Hope that helps
8 0
3 years ago
Read 2 more answers
Pls really need help asapppp
Anit [1.1K]

Answer:

105 sq cm

Step-by-step explanation:

The bottom rectangle is 6 x 15 = 90 sq cm

The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.

A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm

Add the areas together

8 0
2 years ago
need help asap plzz.Solve the inequality. (x + 19 ≤ −5). (A)x ≤ −14 (B)x ≤ 24 (C)x ≤ −24 (D)x ≤ 14
Sindrei [870]

Answer:

C

Step-by-step explanation:

given

x + 19 ≤ - 5 ( isolate x by subtracting 19 from both sides )

x ≤ - 24 →  C

3 0
3 years ago
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