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IrinaVladis [17]
2 years ago
6

Solve the quadratic equation by completing the square x²+12x+26=0

Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Answer:

x={-13,-2}

Step-by-step explanation:

(x+13)(x+2)=0

x+13=0

x=-13

x+2=0

x=-2

x={-13,-2}

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1. When professional golfer Jordan Spieth hits his driver, the distance the ball travels can be modeled by
Doss [256]

Answer:

a. About 96% of Spieth's drives travel at least 290 yards

b. The ball has to travel about 314.24 yards

Step-by-step explanation:

* Let us explain how to solve the problem

- The distance the ball travels can be modeled by  distribution with

  mean 304 yards and standard deviation 8 yards

a.

- Jordan would need to hit the ball at least 290 yards to have a clear

 second shot that avoids a large group of trees

- We need to find the percent of Spieth's drives travel at least

   290 yards

∵ The mean μ = 304 yards

∵ The standard deviation σ = 8 yards

∵ The distance x = 290

∵ P(x ≥ 290) = P(z ≥ z)

- We need to find z score

∵ z-score = (x - μ)/σ

∴ z = \frac{290-304}{8} = -1.75

* Let us use the normal distribution table to find the corresponding

 area of z = -1.75

∵ P(-z) = 1 - P(z)

∵ P(z ≥ -1.75) = 1 - 0.04006 = 0.95994

∴ P(x ≥ 290) = 0.96 = 96%

* <em>About 96% of Spieth's drives travel at least 290 yards</em>

b.

- On another golf hole, Spieth has the opportunity to drive the ball

  onto the green if he hits the ball a distance  in the top 10% of all

  his drives

- We need to find how far the ball has to travel

- Let us find the z-score from the normal distribution table for the 10%

  to the right or 90% to the left

∵ The area which equivalent to 0.9 ≅ 0.89973

∴ z = 1.28

∵ z-score = (x - μ)/σ

∴ 1.28 = \frac{x-304}{8}

- Multiply both sides by 8

∴ 10.24 = x - 304

- Add 304 for both sides

∴ x = 314.24 yards

* <em>The ball has to travel about 314.24 yards</em>

8 0
3 years ago
For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his
Igoryamba
To answer let e be the amount of Dexter's earning. From the given conditions, it is implied that this value should be equal or more than $50. Further, this amount should also be less than or equal to $100. Mathematically, this can be expressed as,
                                50 ≤ e ≤ 100
The answer is letter D. 
6 0
3 years ago
Read 2 more answers
Simplify the expression:<br> 10z+5z+2z
Rufina [12.5K]
The simplified expression is 17z
7 0
3 years ago
J3herjjeodbehi4vdue duehduehd7ehee
Pie

The account already has $278

If you add and then subract 278 then the value will be the same

Your answer is B

Hopw this helps

-GoldenWolfX✔

7 0
3 years ago
Read 2 more answers
Please help just say A,B,C, Or D if you don’t feel like giving examples. Thank you
Mashcka [7]

D. is the correct anser

7 0
2 years ago
Read 2 more answers
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