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3 years ago

Which function has real zeros at x= -2 and x=5?

Mathematics

1 answer:

hammer [34]3 years ago

3 0

x = -2, x = 5

=> f(x) = a(x+2)(x-5), a ∈ R

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A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

Where

$s=h_2-h_1\\s=4-5\\s=-1ft$

And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

$V^2 = 388.4$

$V =19.70786645\\V=19.71ft/s$

Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

$t=0.05310559006$

$t\approx 0.1s$

Therefore the time spent on air by the ball is

$t=0.05310559006s$

4 0

3 years ago

A hiker approximates an angle of elevation to the top of a hill to be 22 degrees. After walking 700 feet closer, the hiker notic

worty [1.4K]

Answer:

The height of the hill = h = 580.7 feet

Step-by-step explanation:

Let height of the hill = h

From the triangle A B D

Tan 22 = $\frac{AB}{BD}$

⇒ AB = h & B D = y + 700

⇒ Tan 22 = $\frac{h}{y + 700}$ ------------(1)

From triangle ABC

Tan 38 = $\frac{AB}{BC}$

⇒ AB = h & BC = y

⇒ Tan 38 = $\frac{h}{y}$ ------------------(2)

⇒ h = y tan 38 -----------------(3)

Put the value of h from equation (3) into equation (1) we get

⇒ (tan 22) × (y + 700) = y × tan 38

⇒ 0.40 y + 282.82 = y × 0.78

⇒ y = 742.12 feet -----------------(4)

Put this value of y in equation 3 we get

⇒ h = 742.12 × tan 38

⇒ h = 580.7 feet

This is the height of the hill.

6 0

4 years ago

Idk how to solve these

Strike441 [17]

i think it’s 7, angle GHE

6 0

3 years ago

Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale. 48 40 32 44

swat32

check the picture below

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides}\\
----------\\
h=4\\
a=8\\
b=14
\end{cases}\implies \cfrac{4}{2}(8+14)$

5 0

3 years ago

When x=-1, what is the value of y

Over [174]

2 i think depends tho

8 0

3 years ago