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Alborosie
3 years ago
7

How to solve x^2+8x+3 using the quadratic formula​

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

x = sqrt(13) - 4 or x = -4 - sqrt(13)

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 3 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 3 from both sides:

x^2 + 8 x = -3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 13

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 13

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = sqrt(13) or x + 4 = -sqrt(13)

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = sqrt(13) - 4 or x + 4 = -sqrt(13)

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)

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A basketball-player scores a free-throw with probability 0.9. What is the probability that her first miss occurs on the 6th shot
-BARSIC- [3]

Answer:

Pr = 0.059049

Step-by-step explanation:

Given

p = 0.9 --- probability of scoring

Required

Probability that his first miss is his 6th shot

Let q represent the event that he did not score.

Using complement rule:

q = 1 - p = 1 - 0.9 = 0.1

The event that his first miss is his 6th is represented as:

p p p p p q ---- That he scoress the first 5 attempts

So, the probability is:

Pr = p^5 * q

Pr = 0.9^5 * 0.1

Pr = 0.059049

7 0
3 years ago
What is the image of (9,3) after a dilation by a scale factor of 3 centered at the<br> origin?
sergiy2304 [10]

Answer:  (27, 9)

Multiply the original coordinates by the scale factor 3 to get this answer

9*3 = 27

3*3 = 9

This only works if the center of dilation is the origin.

The general rule is (x,y) \to (kx, ky) where k is the scale factor.

7 0
3 years ago
Solve and show how you did 5 (x-1) + 3 = 13
Goryan [66]
5(x-1) + 3 = 13
5x - 5 + 3 = 13
5x -2 = 13
5x = 15
x = 15/5
x = 3
4 0
3 years ago
Read 2 more answers
Don't guess!
Alja [10]

Answer:

The correct answer would be J; \frac{1}{2} r + 2;  

Step-by-step explanation:

Using the algebra;

\frac{1}{2}  * r = \frac{1}{2} r

\frac{1}{2} * 4 = 2

Altogether this would give "J" as the answer.

Hope this helps!

7 0
3 years ago
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Find the volume of each prism. Please help mee and thank you.​
inna [77]

Answer:

Step-by-step explanation:

4 0
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