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3 years ago

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

Mathematics

1 answer:

Debora [2.8K]3 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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weeeeeb [17]

Answer:

150 one point throws, 165 two points throws and 110 three points throws

Step-by-step explanation:

Let x be the number of free (one point) throws.

The number of free throws Sarah made was 15 less than the number of two-point field goals she made. If y is the number of two points throws, then

$x=y-15$

so the number of two points throws $=x+15$

The number of two-point field goals that Sarah made was 55 less than double the number of three-point field goals she made. If z is the number of three points throws, then

$y=2z-55\\ \\2z=y+55\\ \\2z=x+15+55\\ \\2z=x+70\\ \\z=\dfrac{1}{2}x+35$

so the number of three points throws $=\dfrac{1}{2}x+35$

The total score is 810 points, so

$x\cdot 1+(x+15)\cdot 2+\left(\dfrac{1}{2}x+35\right)\cdot 3=810\\ \\x+2x+30+1.5x+105=810\\ \\4.5x=810-30-105\\ \\4.5x=675\\ \\x=150\\ \\x+15=150+15=165\\ \\\dfrac{1}{2}x+35=\dfrac{1}{2}\cdot 150+35=75+35=110$

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4 years ago

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3 years ago

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Step-by-step explanation:

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4 years ago

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4 years ago