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Contact [7]
3 years ago
5

8(За + 6) = 9(2а — 4)

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer: <em>A = -14</em>

Step-by-step explanation:

<em>First, remove the parentheses</em>

<em>8(3a+6) =9(2a-4)</em>

<u><em>24a+48=9(2a-4)</em></u>

<em>Move the terms</em>

<em>24a+48=18a-36</em>

<u><em>24a-18a+48=-36</em></u>

<em>Collect the like terms (Calculate)</em>

<em>24a-18a=-36-48</em>

<u><em>6a=-36-48</em></u>

<em>Divide by both sides</em>

<em>6a=-84</em>

<em>Solution: a=-14</em>

<u><em /></u>

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8 0
3 years ago
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2
rusak2 [61]

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways:  mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect.  See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y =  18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

7 0
2 years ago
On a map Highmount is 5 inches from pine hill. If the map scale is 1inch=3miles. what is the actual distance between the towns?
jeka94

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