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son4ous [18]
3 years ago
14

what are the solutions of the equations x^2+14x=-130? (1point) a.2,-16 b.10,-13 c.-2,16 d.no solution

Mathematics
1 answer:
likoan [24]3 years ago
5 0
x^2+14x=-130\\
x^2+14x+49=-81\\
(x+7)^2=-81

no solutions in \mathbb{R}

in \mathbb{C}
x+7=-\sqrt{-81} \vee x+7=\sqrt{-81}\\
x=-7-\sqrt{-81} \vee x=-7+\sqrt{-81}\\
x=-7-9i \vee x=-7+9i\\
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Fudgin [204]
Total amount = Pe^(rt)
where
P=principal
e=2.7182818284...
r=0.035
t=3 (years)

Total amount
= 7565(e^(0.035*3)
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7 0
2 years ago
An oil exploration firm is formed with enough capital to finance ten explorations. The probabil- ity of a particular exploration
tensa zangetsu [6.8K]

Answer:

μ = 1 The firm expects that one oil exploration will be successful.

v(x)= 0.9

Step-by-step explanation:

The first step is to define the random variable x as:

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Then x can be take this values:

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x is a binomially distributed random variable with parameters.

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And the mean or the expected value of x is:

μ = E(x) = np

Then μ = 10*0.1 = 1

And the variance of x is:

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6 0
2 years ago
(10p+96)+(-6p+93)=(9+75)
wariber [46]

Answer:-26.25

Step-by-step explanation:

6 0
3 years ago
Consider the triangle A(4,0), B(-2,4), C(0,6)<br> What will be the equation of the altitude BM?
katovenus [111]

Answer:

BM: <u>y = (2/3) x + 16/3</u> with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

<u>y = (2/3) x + 16/3</u>   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0
2 years ago
the area of a gymnasium floor is 264 square yard. the floor is 11 yards wide . how long is the floor?
Alekssandra [29.7K]
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4 0
2 years ago
Read 2 more answers
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