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3241004551 [841]
2 years ago
8

Solve for x in the equation x squared minus 12 x + 36 = 90. x = 6 plus-or-minus 3 StartRoot 10 EndRoot x = 6 plus-or-minus 2 Sta

rtRoot 7 EndRoot x = 12 plus-or-minus 3 StartRoot 22 EndRoot x = 12 plus-or-minus 3 StartRoot 10 EndRoot
Mathematics
2 answers:
Alika [10]2 years ago
8 0

Answer: the answer is a on edg2020

Step-by-step explanation:

goldenfox [79]2 years ago
3 0

Answer: x = 6 plus-or-minus 3 StartRoot 10

Step-by-step explanation:

The given quadratic equation is expressed as

x² - 12x + 36 = 90

Rearranging the equation so that it takes the the standard form of

ax² + bx + c, it becomes

x² - 12x + 36 - 90 = 0

x² - 12x - 54 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 1

b = - 12

c = - 54

Therefore,

x = [- - 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1

x = [12 ± √(144 + 216)]/2

x = [12 ± √360]/2

x = (12 ± 6√10)/2

x = 6 + 3√10

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5 0
2 years ago
Consider the quadratic function.
goblinko [34]
A standard form for the quadratic function is
f(x) = ax² + bx + c
where the coefficients are a,b, and c.

The given quadratic function is 
f(p) = p² - 8p - 5
When this function is compared to the standard form, with p replacing x, we obtain
a = 1  because the leading term is 1*p²,
b = -8 because the linear term is -8*p,
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Answer:
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4 0
2 years ago
If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\a
kolbaska11 [484]

Answer:

<h2><em>2(3s-14)</em></h2>

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

<em></em>

<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>

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2 years ago
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many type
blagie [28]

Total points is 23

<u>Explanation:</u>

Given:

Total number of baskets = 18

Let the number of 2 pointer shots be x

Let the number of 3 pointer shots be y

According to the question:

y = \frac{x}{2} + 3                  -1

The equation can be formed as:

\frac{x}{2} + 3 + x = 18

On solving this equation further we get:

\frac{x+6+2x}{2} = 18\\\\9x = 36\\\\x = 4

Putting the value of x = 4 in equation 1

y = \frac{x}{2}+3\\ \\y = \frac{4}{2} + 3\\\\y = 5

Points for 2 pointer shots = 4 X 2

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Points for 3 pointer shots = 5 X 3

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Total points = 8 + 15

                  = 23

Therefore, total points is 23

5 0
2 years ago
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