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2 years ago

Solve the equation by completing the square. Show your work. v^2-8v-59=-2

Mathematics

1 answer:

Debora [2.8K]2 years ago

3 0

Answer:

answer is {-4.42, 12.54}

Step-by-step explanation:

v^2 - 8v - 59 = -2

v^2 - 8v = 57

(v - 4)^2 - 16 = 57

(v - 4)^2 = 73

Taking square roots:-

v - 4 = +/- √73

v = √73 + 4 or - √73 + 4

v = -4.54 , 12.54

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What number makes (x+1)(x+2) equal 9

RideAnS [48]

Answer: 1 and 5

Step-by-step explanation:

Why I chose 1 and 5 because I thought of adding 1+1 and get 2 then add 5+2 equals 7 then add 2+7 and get 9

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3 years ago

If the legs of a right triangle are both 8 cm, find the area of the triangle. A) 8 cm2 B) 16 cm2 C) 32 cm2 D) 64 cm2

Alex787 [66]

Answer:

32cm

Step-by-step explanation:

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3 years ago

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qaws [65]

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Another way is they both end in 4
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3 years ago

What is 30 divided by 5

jarptica [38.1K]

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2 years ago

Jenny is making tie-dyed shirts for her class with her school colors,blue and yellow.she used a total of 8 ounces of fabric pain

Elodia [21]

Question:

Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow. She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the amount of yellow paint. Make a diagram to show the ratio of blue paint to yellow paint

Answer:

The ratio of blue paint to yellow paint is 3 : 1

Solution:

Let "x" be the amount of blue paint in ounces

Let "y" be the amount of yellow paint in ounces

She used a total of 8 ounces of fabric paint

Therefore,

x + y = 8 -------- eqn 1

The amount of blue paint is 3 times the amount of yellow paint

Amount of blue paint = 3 times the amount of yellow paint

x = 3y ------- eqn 2

Substitute eqn 2 in eqn 1

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

Substitute y = 2 in eqn 2

x = 3(2)

x = 6

Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

Find the ratio

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

$\frac{x}{y} = \frac{6}{2} = \frac{3}{1}$

Which means, of every 4 parts of paint, three parts are blue and one part is yellow

The diagram is attached below

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3 years ago