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2 years ago

Point A is (-9,-3) and is translated 4 left and 2 down. Where is A' at?

Mathematics

1 answer:

mezya [45]2 years ago

5 0

Answer:

A translation maps point A(3,7)A(3,7)A, left parenthesis, 3, comma, 7, right parenthesis to point A'(6,-2)A

′

(6,−2)A, prime, left parenthesis, 6, comma, minus, 2, right parenthesis. Let's determine what translation this is.

Solution

Step 1: Horizontal shift. AAA is shifted 333 units to the right because (6)-(3)=\tealD{+3}(6)−(3)=+3left parenthesis, 6, right parenthesis, minus, left parenthesis, 3, right parenthesis, equals, start color #01a995, plus, 3, end color #01a995.

Step 2: Vertical shift. AAA is shifted 999 units down because (-2)-(7)=\maroonD{-9}(−2)−(7)=−9left parenthesis, minus, 2, right parenthesis, minus, left parenthesis, 7, right parenthesis, equals, start color #ca337c, minus, 9, end color #ca337c.

The answer: AAA is mapped onto A'A

′

A, prime under a translation by \langle \tealD{3},\maroonD{-9} \rangle⟨3,−9⟩open angle, start color #01a995, 3, end color #01a995, comma, start color #ca337c, minus, 9, end color #ca337c, close angle.

Step-by-step explanation:

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I need the answer ASAP please.

kondor19780726 [428]

Answer:

Step-by-step explanation:

If 3/4 of the lot was full and the lot holds 1000 vehicles, then there are 3/4(1000) in the lot. 3/4(1000) = 750. That means there are 750 vehicles in the lot. If 200 cars are in the lot, then 750 - 200 = 550 trucks.

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3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

2 years ago

Read 2 more answers

Please answer this <br> Hi

Naddik [55]

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3 years ago

13. Find the values of x and y in the diagram below.

Umnica [9.8K]

Answer:

x = 2

y = 4

Step-by-step explanation:

Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.

Add the 3 on its lower left to get 10.

so, 3 - x = 1. x = 2

17 - y = 13. y = 4

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2 years ago

Solve the following inequality: 6x - 9 ≥ 11x - 17.

Juli2301 [7.4K]

Answer:

x ≤8/5

Step-by-step explanation:

6x - 9 ≥ 11x - 17

Subtract 6x from each side

6x -6x-9 ≥ 11x - 17-6x

-9 ≥ 5x- 17

Add 17 to each side

-9+17≥ 5x - 17+17

8≥ 5x

Divide each side by 5

8/5≥ 5x /5

8/5≥ x

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3 years ago