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Licemer1 [7]
3 years ago
5

Complete the square to solve the equation below check all that apply x^2+8x-2=18

Mathematics
2 answers:
vlada-n [284]3 years ago
6 0

x^2+8x-2=18

x^2+8x-2-18= 18-18

x^2+8x-20= 0

(x-2)(x+10)=0

x-2= 0 , x+10=0

x-2+2= 0+2, x+10-10= 0-10

x=2 , x=-10

Answers are x= 2 -B, x=-10 -A.

padilas [110]3 years ago
5 0

Answer:

Option A and B

Step-by-step explanation:

Given : Quadratic equation x^2+8x-2=18

To find : Complete the square to solve the equation below check all that apply ?

Solution :

Re-write, x^2+8x-2=18

x^2+8x-20=0

Applying quadratic formula,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here, a=1 , b=8, c=-20

x=\frac{-8\pm\sqrt{8^2-4(1)(-20)}}{2(1)}

x=\frac{-8\pm\sqrt{64+80}}{2}

x=\frac{-8\pm\sqrt{144}}{2}

x=\frac{-8\pm12}{2}

x=-4\pm6

x=-4+6,-4-6

x=2,-10

The solution of the equation is x=2,-10.

Therefore, Option A,B satisfy the equation.

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There are 45 animals at the pet store. 12% are dogs, 24% are cats, 36% are fish, and 28% are other animals. Find the number of a
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Step-by-step explanation:

Dogs: 12% of 45= 5.4

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You work 37 1/2 hours and earn $352.50. What is your hourly wage
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Read 2 more answers
Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles per hour
VMariaS [17]
M = hours driven by Maria

c = hours driven by Carlos

since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or 52c.

Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or 54m.

now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that 54m + 52c = 217.

we also know it took 4.1 for the whole trip, so m + c = 4.1.

\bf \begin{cases}
m+c=4.1\implies \boxed{c}=4.1-m\\
54m+52c=217\\
-------------\\
54m+52\left( \boxed{4.1-m} \right)=217
\end{cases}
\\\\\\
54m-52m+213.2=217\implies 2m=3.8
\\\\\\
m=\cfrac{3.8}{2}\implies m=1.9

so Maria drove for 1.9 hours.

How many hours did Carlos drive for?  well, c = 4.1 - m.
4 0
3 years ago
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