What is the length and width of a rectangle with a perimeter of 54

Answers

Answer 1

Answer: Width is 10 and length is 17. I hope this helps!

Answer 2

Answer: i believe the answer is 13.5 i could be wrong.

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I need help for this homework

Do linear relationships have a constant rate of change

Answers

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know

Which of the following steps could be used as a shortcut method to multiply 12 by 50?A. Divide 12 by 2, then multiply that result by 50
B. Add 12 and 50, then multiply that result by 10
C. Multiply 12 by 100, then divide that result by 2
D. Multiply 12 by 5 and then multiply that result by 100

Answers

We must remember that 50 x 2 = 100. Multiplying numbers by 100 would be easier since all we have to do is add two zeros after. For example, 62 x100 = 6200. Since we multiplied a number by 2, we must divide it by 2 after getting the product. To make this more clearer, for 12 x 50, for example, we have 12 x 50 = (12 x 100)/2 = 1200/2 = 600 Thus, the answer is C.

The answer is C. Multiply 12 by 100, then divide that result by 2.

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.

Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the percent error in Roger's measurement? 15% 17% 20% 25%

Answers

First, calculate the difference between 15 and 12. The operation, subtraction, will give us the answer of 3. Then, divide the calculated value by 12 since this it the theoretical length of the nail. Multiply the quotient by 100% to arrive to the final answer. That is (3/12)(100%). The final answer to this item is 25% which is the last choice.

The percent error in Roger's measurement is :25%.

Percent of error

Using this formula

Percent of error=Length-Centimeters long/Centimeters long×100

Let plug in the formula

Percent error=15-12/12

Percent error=3/12×100

Percent error=25%

The percent error in Roger's measurement is :25%.

Learn more about percent error here:brainly.com/question/17880579

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(x^2-6x+5)÷(x-1) solve using synthetic division

Answers

I hope this helps you

Solve the system of equations.5x + y = 9
3x + 2y = 4

A) (-2, 5)
B) (1, 4)
C) (2, -1)
D) (4, -4)

Answers

Answer:

Step-by-step explanation:

The given system of equations is :

$5x+y=9$ (1)

and $3x+2y=4$ (2)

Multiply equation (1) with 2 and then subtract equation (2) from it, we get

⇒ $10x+2y-3x-2y=18-4$

⇒ $7x=14$

⇒ $x=2$

Substitute the value of x=2 in equation (1), we get

⇒ $5(2)+y=9$

⇒ $10+y=9$

⇒ $y=-1$

Therefore, x=2 and y=-1. that is (2,-1).

you can find replcing x and y by the coordinates of the points
A : 5.-2 + 5 ≠9 not solution
B : 5.1 + 4 = 9 so 3.1 + 2.4 = 11 ≠4 not solution
C: 5.2 + = 9 so 3.2 + 2.-1 = 4 both are right then C is solution
D: 5.4 - 4 = 16 ≠ 9 not solution

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