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tangare [24]
3 years ago
8

What is the length of side PQ?

Mathematics
1 answer:
barxatty [35]3 years ago
5 0
Okay, i can do this. But i need the graph 
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What are the solutions of 12 - x2 = 0?
tester [92]

Answer:

±2 sqrt(3) =x

Step-by-step explanation:

12 - x^2 = 0

Add x^2 to each side

12 - x^2 + x^2 = x^2

12 = x^2

Take the square root of each side

±sqrt(12) = sqrt(x^2)

±sqrt(4*3) = sqrt(x^2)

±sqrt(4) sqrt(3) = x

±2 sqrt(3) =x

3 0
3 years ago
Read 2 more answers
ABC was dilated to create A' B' C'. What is the center of dilation? And what is the scale factor of the dilation?
Virty [35]

Given:

In the given figure the vertices of triangle ABC are A(-2,2), B(4,2), C(-2,-2).

The vertices of triangle A'B'C' are A'(-4,4), B'(8,4), C'(-4,-4).

To find:

The center of dilation and the scale factor.

Solution:

In the given graph, draw the lines AA', BB' and CC'. The intersection point of these lines is the center of dilation.

From the below graph, it is clear that the lines AA', BB' and CC' intersect each other at (0,0).

Therefore, the center of dilation is (0,0).

If a figure is dilated by factor k and the center of dilation is origin, then

(x,y)\to (kx,ky)

A(-2,2)\to A'(k(-2),k(2))

A(-2,2)\to A'(-2k,2k)

It is given that A'(-4,4). So,

(-2k,2k)=(-4,4)

On comparing both sides, we get

-2k=-4

2k=4

k=\dfrac{4}{2}

k=2

Therefore, the scale factor is 2.

4 0
3 years ago
What is the 13th term of this arithmetic sequence?<br><br> 132, 135, 138, 141, …
Marrrta [24]
The rule for this sequence is n + 3. 132 --> 135 is +3, 135 --> 138 is +3, and 138 --> 141 is +3. Let's use this rule until we find the 13th term. 132 (1) 135(2) 138(3) 141(4) 144(5) 147(6) 150(7) 153(8) 156(9) 159(10) 162(11) 165(12) 168(13) 168 is the 13th term in this sequence. I hope this helps!
6 0
2 years ago
Please answer quickly! Carolyn makes and sells necklaces. The material to make each neckalce costs $3.20. She has 12 necklaces t
gayaneshka [121]

Answer:

A

Step-by-step explanation:

i took the test

6 0
3 years ago
Read 2 more answers
The probability that Lexie is on time for a given class is 95%. If there are 32 classes during the semester, what is the best es
nignag [31]

Answer:

between 31 and 29 classes

Step-by-step explanation:

7 0
2 years ago
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