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3 years ago

8

Solve for x. Write the smaller solution first, and the larger solution second.

1 answer:

rodikova [14]3 years ago

5 0

(x+5)^2 - 64 = 0

(x+5)^2 - 8^2 = 0

(x+5-8) (x+5+8) = 0

(x-3) (x+13) = 0

=> x = 3 or x = -13

=> smaller x = - 13 & larger = 3

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On a certain hot summer's day, 581 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for

Tanya [424]

Answer:

A = 219

C = 362

Step-by-step explanation:

Given,

581 = C + A

and

$1090.50 = 1.5C + 2.5A

solve 1st for A

A =581 - C

substute into 2nd

1090.50 = 1.5C + 2.5(581 - C)

solve for C

1090.50 = 1.5C + 1452.50 - 2.5C

1090.50 = -C + 1452.50

1090.50 - 1452.50 = -C

-362 = -C

C = 362

then

581 = C + A

581 = 362 + A

219 = A

A = 219

8 0

3 years ago

What are the coordinates of one of the vertices of a rectangle when two sides are given by the lines x - 3y = -8 and 3x + y = 6?

Aleonysh [2.5K]

Answer:

(1, 3)

Step-by-step explanation:

x - 3y = -8

3x + y = 6

Isolate a variable in one of the equations:

y = 6 - 3x

Substitute the value of y into the other equation:

x - 3(6 - 3x) = -8

Use distributive property:

x - 18 + 9x = -8

Combine like terms:

10x - 18 = -8

Isolate the variable:

10x = 10

x = 1

Substitute the value of x into any equation:

3(1) + y = 6

3 + y = 6

Isolate the variable:

y = 3

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4 years ago

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