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SpyIntel [72]
3 years ago
12

Can someone explain how to solve this please?

Mathematics
2 answers:
denis-greek [22]3 years ago
5 0

a =  \frac{2x + 6}{5}  \\ 5a = 2x + 6 \\ 5a - 6 = 2x \\  x =  \frac{5a - 6}{ 2}
timofeeve [1]3 years ago
4 0

Start with

a = \dfrac{2x+6}{5}

Multiply both sides by 5:

5a = 2x+6

Subtract 6 from both sides:

5a-6 = 2x

Divide both sides by 2:

\dfrac{5a-6}{2} = x

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Triangle ABC was translated according to the rule (x, y) → (x + 1.5, y – 3.5) to create the image ΔA'B'C' shown on the coordinat
professor190 [17]

Answer:

Step-by-step explanation:

Given:

ΔA'B'C' image.

A (-1,2)

B (-1,-1)

C (-5,-10)

rule of translation(x,y) → (x + 1.5,y - 3.5)

This means that the given coordinates are the the sum of x and the difference of y.

A:

-1 = x + 1.5  →  -x = 1.5 + 1 → -x = 2.5 → -x/-1 = 2.5/-1 → x = -2.5

2 = y - 3.5 → -y = -3.5 - 2 → -y = -5.5 → -y/-1 = -5.5/-1 → y = 5.5

A (-2.5 , 5.5)

B:

-1 =  x + 1.5  →  -x = 1.5 + 1 → -x = 2.5 → -x/-1 = 2.5/-1 → x = -2.5

-1 = y - 3.5 → -y = -3.5 + 1 → -y = -2.5 → -y/-1 = -2.5/-1 → y = 2.5

B (-2.5,2.5)

C:  

-5 = x + 1.5 → -x = 1.5 + 5 → -x = 6.5 → -x/-1 = 6.5/-1 → x = -6.5

-10 = y - 3.5 → -y = -3.5 + 10 → -y = 6.5 → -y/-1 = 6.5/-1 → y = -6.5

C (-6.5, -6.5)

The pre image will have the following coordinates:

A (-2.5 , 5.5) ; B (-2.5,2.5) ; C (-6.5, -6.5)

6 0
3 years ago
Read 2 more answers
I think the first answer is x > 4, but I'm not sure, I need help with that. I don't know if there even is a second answer or
STALIN [3.7K]
Hi again!

|2x - 3| - 1 > 4

|2x -3| > 4 + 1

|2x -3|  > 5

Now let's solve the absolute value

We know either 2x -3 >5 or 2x -3<-5

Let's solve the first possibility

2x - 3 > 5

2x > 5+ 3

2x > 8

x > 8/2

x> 4

Now solve the second possibility

2x - 3 < -5

2x < -5 + 3

2x < -2

x < -2/2

x< -1

Thus the correct answer is x > 4 or x < -1

I used an online graphing calculator

I hope this helps again!

4 0
4 years ago
Calculate the distance between P, which is at 7, and Q, which is at 24.
slega [8]
The answer is:  "17 units" .
___________________________________________
<u>Note</u>:
___________________________________________
24 - 7 = 17 . 
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8 0
3 years ago
Read 2 more answers
ASAP Can someone help me with this please. I filled most of the angles. I just need help finding x
valentinak56 [21]

Answer:

20

Step-by-step explanation:

Cause im smart and you should trust me. duh

3 0
4 years ago
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Alicia made her aunt a garden. The width is 6 5/7 ft ft and the length is 7 3/5 ft. What is the area of the garden
PilotLPTM [1.2K]

Step-by-step explanation:

Area=Length×width

=6 5/7×7 3/5

change the improper fraction to proper

=47/7 ×38/5

=1786/35

=51.03ft²

7 0
3 years ago
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