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3 years ago

The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?

Mathematics

1 answer:

bekas [8.4K]3 years ago

6 0

Answer:

B. 8ft

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w) where l is the length and w is the width

Substituting in the given values

48 = 2(16+w)

Divide each side by 2

48/2 = 2/2(16+w)

24 = 16+w

Subtract 16 from each side

24-16 =16+w-16

8 =w

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A searchlight rotates through one complete revolution every 52 seconds how long does it take to rotate 90 degrees?

nasty-shy [4]

Time taken to rotate 90° is 13 seconds

Explanation:

Given:

To complete one revolution, the searchlight takes 52 seconds

One revolution = 360°

So,

360° is completed in 52 seconds

Time taken to complete 90° is $\frac{52}{360} X 90$

= 13 sec

Therefore, time taken to rotate 90° is 13 seconds

8 0

3 years ago

9,277,414 the 7 in the thousand place is______ the value of the 7 in the ten thousand place

mario62 [17]

the 7,000 is 9,000 less than the 7 in the ten thousand place

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3 years ago

last year, Carmen opened an investment account with $7400. At the end of the year, the amount in the account had decrease buy 26

kvasek [131]

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3 years ago

Pls help me figure out the slope

cluponka [151]

Answer:

$m=\frac{-4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (2, -3)

Step 2: Find slope m

Substitute: $m=\frac{-3-1}{2+3}$
Subtract/Add: $m=\frac{-4}{5}$

7 0

3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago