What are the coordinates of the image produced by applying the composition Ro,-270 degrees o Ro,-90 degrees to the point (–5, 4)?A. (–5, 4)
B. (–4, –5)
C. (4, 5)
D. (5, –4)

Answers

Answer 1

Answer: On dealing with a rotation of -270 degrees or 90 degrees (both are equal to each other), it is necessary to know the relation between the x and y coordinates to know the new coordinate points of the rotated image. The rotation relation for a 90 degree rotation is:

R90 (x,y) = (-y , x)

Therefore, with that being applied to the point (-5,4), the new coordinate points of the rotated image would be: (-4,-5). Among the choices, the correct answer is B.

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What fraction of a pound is 0.05

Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED? A. EF
B. ZY
C. XZ
D. YX

Answers

YX is corresponding with ED

Hope it helps.

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Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation h = -2t^(2) + 7t + 4 models the toy's height h in feet from the ground at t seconds after he threw it. a) How high is the toy after 0-4 seconds?

Answers

Step-by-step explanation:

The height attained by the toy as a function of time t is given by :

$h = -2t^2 + 7t + 4$

h is in feet and t is in seconds

Height of the toy at t = 0

$h = -29(0)^2 + 7(0) + 4=4\ ft$

Height of the toy at t = 4 seconds is :

$h=-2(4)^2 + 7(4)+ 4=0$

So, between 0 to 4 seconds, height of the toy is 4 feets.

Final answer:

The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.

Explanation:

The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.

For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.

For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.

For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.

For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.

For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.

Learn more about Projectile motion here:

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The function f(t) = 4t2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Answers

Answer:

The correct option is 3.

Step-by-step explanation:

The vertex form of a parabola is

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

where a, h, and k are integers, and interpret the vertex of f(t). (h,k) is the vertex of the parabola.

The given function is

$f(x)=4t^2-8t+6$

It can be written as

$f(x)=4(t^2-2t)+6$

If an expression is defined as $x^2+bx$ , then we need to add $((b)/(2))^2$ to make it perfect square.

In the expression $t^2-2t$ the value of b is -2. So, we nned to add and subtract $((-2)/(2))^2$ in the parenthesis.

$f(x)=4(t^2-2t+1^2-1^2)+6$

$f(x)=4(t^2-2t+1)+4(-1)+6$

$f(x)=4(t-1)^2-4+6$

$f(x)=4(t-1)^2+2$ .... (2)

The vertex form of the parabola is $f(x)=4(t-1)^2+2$ .

From (1) and (2), we get h=1 and k=2. It means the vertex of the parabola is (1,2). Vertex of upward parabola is point of minima. So the minimum height of the roller coaster is 2 meters from the ground.

Therefore the correct option is 3.

89.64 decreased by 8%

Answers

if a number is decreased by 8%, it becomes 92%, or .92, of the original number.

we can then find the answer by multiplying 89.64 by .92 to get 82.4688

hope this helps! please give brainliest :)

Solve Sec 5theta/4=2

Answers

$\sec(5\theta)/(4)=2\n (1)/(\cos (5\theta)/(4))=2\n \cos (5\theta)/(4)=(1)/(2)\n (5\theta)/(4)=(\pi)/(3)+2k\pi \vee (5\theta)/(4)=-(\pi)/(3)+2k\pi\n 5\theta=(4\pi)/(3)+8k\pi \vee 5\theta=-(4\pi)/(3)+8k\pi\n \boxed{\theta=(4\pi)/(15)+(8k\pi)/(5) \vee \theta=-(4\pi)/(15)+(8k\pi)/(5)}$

Mary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime,and double time on holidays. last week she worked 40 hours of regular time, 6/12 hours of overtime and 8 hours of holiday time. how much did she say earn

Answers

You can make an equation with the information given: Earnings = 6 * r + (1.5*6)o + (6*2) h = 6r + 9o + 12h. Where r is the number of regular hours worked, o is the number of overtime hours and h is the number of holiday hours. Now r = 40, o = 6.5, and h = 8. So, Earnings = 6(40) + 9(6.5) + 12(8) = 39405. Answer: $394.5

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