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3 years ago

The vertex form of the equation of a parabola is y=1/2(x-4) squared+13. What is the standard form of the equation?

Mathematics

1 answer:

krok68 [10]3 years ago

4 0

Given:

$y = \frac{1}{2} {(x - 4)}^{2} + 13$

simplify the square factor:

$y = \frac{1}{2} ( {x}^{2} - 8x + 16) + 13$

$y = \frac{1}{2} {x}^{2} - 4x + 8 + 13$

the solution is then:

$y = \frac{1}{2} {x}^{2} - 4x + 21$

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You are a traffic accident investigator. You have arrived at the scene of an accident. Two trucks of equal mass (3,000 kg each)

Kazeer [188]

Answer:

1) Kinetic energy of the truck 1 is 600,000 joules.

Kinetic energy of the truck 2 is 1,837,500 joules.

2 a)Potential energy of truck 1 is 646,800 Joules.

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

Step-by-step explanation:

Mass of the truck 1 and truck 2,m = 3000 kg

Velocity of the truck 1, $v_1$ = = 20 m./s

Velocity of the truck 2, $v_2$ = 35 m./s

1. Kinetic energy of the truck 1: $\frac{1}{2}mv_{1}^2=\frac{1}{2}\times 3000 kg\times (20 m/s)^=600,000 joules$

Kinetic energy of the truck 2: $\frac{1}{2}mv_{2}^2=\frac{1}{2}\times 3000 kg\times (35 m/s)^=1,837,500 joules$

2.a) Energy loose by the truck 1:

Initial height of the truck on the hill = 22 m

At that height potential energy will be maximum:

Potential energy of truck 1 at that height = $mgh=3000\times 9.8 m/s^2\times 22 m=646,800 Joules$

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

3 0

4 years ago

Which two answer options describe a correct way to solve this problem?

olya-2409 [2.1K]

The answer is B) add 1.25 and 2.70 and subtract that from 10.00

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3 years ago

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A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those su

Alik [6]

Answer:

1,135 people

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Step-by-step explanation:

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

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3 years ago

Use the graph to find the factorization of x2 - 6x + 8.

WARRIOR [948]

Answer:

D. (x-2)(x-4)

Step-by-step explanation:

The graph cross the x-axis in points with x-coordinates of 2 and 4

then 2 and 4 are roots of x² - 6x + 8.

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3 years ago

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(

cluponka [151]

Answer:

the answer is A

Step-by-step explanation:

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3 years ago

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