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irinina [24]
3 years ago
9

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac

ross the (x-axis, y-axis, line y=x, line x=y) followed by a translation (4 units to the right an 10 units up, 8 units to the right and 4 units up, 10 units to the right and 2 units up, 10 units to the right and 4 units up)

Mathematics
2 answers:
34kurt3 years ago
8 0
<span>10 units to the right and 2 units up,</span>
LekaFEV [45]3 years ago
4 0

Answer:

line y=x

10 units to the right and 4 units up

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Factor the expression completely.<br> 625x4 - 256y4
scoundrel [369]

<u>Answer:</u>

<u>(625 • (x4)) -  28y4</u>

<u></u>

<u>  54x4 -  28y4 3.1      Factoring:  625x4-256y4  </u>

<u> </u>

<u>Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B) </u>

<u> </u>

<u>Proof :  (A+B) • (A-B) = </u>

<u>         A2 - AB + BA - B2 = </u>

<u>         A2 - AB + AB - B2 = </u>

<u>         A2 - B2Note :  AB = BA is the commutative property of multiplication. </u>

<u> </u>

<u>Note :  - AB + AB equals zero and is therefore eliminated from the expression. </u>

<u> </u>

<u>Check :  625  is the square of  25  </u>

<u>Check : 256 is the square of 16 </u>

<u>Check :  x4  is the square of  x2  </u>

<u> </u>

<u>Check :  y4  is the square of  y2  </u>

<u> </u>

<u>Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  </u>

<u> </u>

<u>Check :  25  is the square of  5  </u>

<u>Check : 16 is the square of 4 </u>

<u>Check :  x2  is the square of  x1  </u>

<u> </u>

<u>Check :  y2  is the square of  y1  </u>

<u> </u>

<u>Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)</u>

5 0
3 years ago
What is 10 blankets plus 56 more blankets X2
Debora [2.8K]
The answer to this question should be 114
6 0
3 years ago
6. What impact does the 5 have in the following equation. y = 5(x+2)^2 +
yulyashka [42]

Answer:

B. It makes the graph really narrow.

Step-by-step explanation:

\displaystyle Y = A[X - H]^2 + K

In the Vertex Formula, any <em>fraction</em><em> </em>you store in for <em>A</em><em> </em>will result in a <u>vertical</u><u> </u><u>shrink</u>, widening the graph, whereas any <em>whole number</em> you store in for <em>A</em> will result in a <u>vertical stretch</u>, narrowing the graph.

I am joyous to assist you at any time.

4 0
3 years ago
NEED HELP ASAP PLEASE
olga nikolaevna [1]

Answers:

  • interest = $75
  • balance at maturity = $3075

=============================================================

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

  • p = 3000 = principal (amount deposited)
  • r = 0.10 = annual interest rate in decimal form
  • t = 3/12 = 0.25 = number of years

So,

i = p*r*t

i = 3000*0.10*0.25

i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

---------------

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

7 0
3 years ago
lex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has?
emmasim [6.3K]
There are 68 quarters and 16 nickels
3 0
3 years ago
Read 2 more answers
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