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erastovalidia [21]
3 years ago
8

While playing basketball this weekend Frank shoots an airball. The height H in feet of the ball is given by H equals -16t^2 + 32

t + 8. How long will it take the prey to strike the ground? What is the maximum height of the ball?
plz I need help ​
Mathematics
1 answer:
Korvikt [17]3 years ago
6 0

Answer:

Step-by-step explanation:

prey? who's attacking?

You just want to find t when H=0. So, solve

-16t^2 + 32t + 8 = 0

t = 2.22

max height is at t = -b/2a = 1

H(1) = 24

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Simplify: (x+7)(x-4)
SVETLANKA909090 [29]

Answer:

x² + 3x - 28

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(x + 7)(x - 4)

= x(x - 4) + 7(x - 4) ← distribute both parenthesis

= x² - 4x + 7x - 28 ← collect like terms

= x² + 3x - 28


6 0
3 years ago
One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p
scZoUnD [109]

Answer:

c^2 = 9dp

Step-by-step explanation:

Given

dx^2 + cx + p = 0

Let the roots be \alpha and \beta

So:

\alpha = 2\beta

Required

Determine the relationship between d, c and p

dx^2 + cx + p = 0

Divide through by d

\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0

x^2 + \frac{c}{d}x + \frac{p}{d} = 0

A quadratic equation has the form:

x^2 - (\alpha + \beta)x + \alpha \beta = 0

So:

x^2 - (2\beta+ \beta)x + \beta*\beta = 0

x^2 - (3\beta)x + \beta^2 = 0

So, we have:

\frac{c}{d} = -3\beta -- (1)

and

\frac{p}{d} = \beta^2 -- (2)

Make \beta the subject in (1)

\frac{c}{d} = -3\beta

\beta = -\frac{c}{3d}

Substitute \beta = -\frac{c}{3d} in (2)

\frac{p}{d} = (-\frac{c}{3d})^2

\frac{p}{d} = \frac{c^2}{9d^2}

Multiply both sides by d

d * \frac{p}{d} = \frac{c^2}{9d^2}*d

p = \frac{c^2}{9d}

Cross Multiply

9dp = c^2

or

c^2 = 9dp

Hence, the relationship between d, c and p is: c^2 = 9dp

8 0
3 years ago
I'm supposed to answer this word problem "Martin bought a television for $225. It had been on sale for 25% off. How much money d
garik1379 [7]

Answer:

<em>Martin saved $75 on the television because of the sale</em>

Step-by-step explanation:

<u>Equations</u>

Let's call x=the original price of the television (before discount).

The television had been on sale for 25% off, this means the discount was:

25% of x = \frac{25}{100}.x = 0.25x

The sale price was the original price minus the discount:

x - 0.25x = 0.75x

This is what Martin paid, thus:

0.75x = 225

Dividing by 0.75:

x = 225 / 0.75

x = $300

The original price of the television was $300, and the discount was:

0.25*$300 = $75

Martin saved $75 on the television because of the sale

4 0
3 years ago
∠x and ∠y are supplementary angles. ∠y measures 97੦ What is the measure of ∠x?
trasher [3.6K]

Answer:

83 degrees

Step-by-step explanation:

Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.

180 - 97 = 83 degrees

8 0
3 years ago
Explain how to draw an angle that measures 145° using a protractor.
kirill [66]
Hopefully this makes sense!

6 0
3 years ago
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