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2 years ago

Help me again..........

Mathematics

1 answer:

DochEvi [55]2 years ago

4 0

Answer:

1. = 2. >

Step-by-step explanation:

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A dart is thrown upward with an initial velocity of 66 ft/s at an angle of elevation of 54°. Consider the position of the dart a

givi [52]

Answer:

Answer to the question:

Step-by-step explanation:

α= 54º

V= 66 ft/s

g= 9.8 m/s²

Vx= V * cos(54º) = 38.8 ft/s

Vy= V * sin(54º) = 53.4 ft/s

<u>PARAMETRIC EQUATIONS:</u>

x(t)= Vx * t

y(t)= Vy * t - (g * t²)/2

4 0

3 years ago

Evaluate the expression 3(x-1)2nd power +2x-7 for x=3

Yanka [14]

Answer:

3Step-by-step explanation:

Given

3(x - 1)² + 2x - 7 ← substitute x = 3 into the expression

= 3(3 - 1)² + 2(3) - 7

= 3(2)² + 6 - 7

= 3(4) - 1

= 12 - 1

= 11

5 0

3 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%20%5Cdiv%20441%20%3D%20" id="TexFormula1" title="3 \div 441 = " alt="3 \div 441 = " align="a

laila [671]

This is the decimal answer 0.00680272108

3 0

2 years ago

A carousel is an amusement ride consisting of a rotating...

Whitepunk [10]

To answer this question you will use the formula for circumference of a circle to find how far around one revolution is.

C = pi x d
3.14 x 32
C = 100.48 feet

Multiply the distance around one time by 4.3 to get the distance traveled in one revolution and then multiply it by 3 for the 3 minutes.

100.48 x 4.3 x 3 = 1296.19 feet
This is approximate and is closest to answer choice D.

4 0

2 years ago