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olchik [2.2K]
3 years ago
11

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

s. If the area of the rectangle is 22 square inches, what is the value of the unknown number? a0 inches
Mathematics
1 answer:
Trava [24]3 years ago
7 0

Answer:

11

Step-by-step explanation:

Area = LW

We know that the w = 2

We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)

We are then told that the area = 22 square inches.

Area = LW

22 = (x - 3)2

Now solve for x

22 = (x - 3)2

Distribute the 2

22 = 2x - 6

22 + 6 = 2x

28 = 2x

28 / 2 = 2x / 2

14 = x

x = 14

Now take 14 and subtract 3

14 - 3 = 11

Unknown number = 11

Area  = LW

L = 11

W = 2

Area = 22

11 * 2 = 22

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Minchanka [31]
Odd function must pass through origin so first two options are not correct.

Odd function must be rotational symmetry around origin. So last option is not correct.

So answer is C.

6 0
3 years ago
PLS HELP ME...<br> Give five ordered pairs on the graph of y = -0.5x.
goblinko [34]

Answer:

(0,0) (-2,1) (-4,2) (-6,3) (-8,4)

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
The sum of 4 consecutive odd number is 40. What is the greatest of the 4 numbers?
Helen [10]
13 because

13+11+9+7=40
7 0
3 years ago
Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were
miskamm [114]

Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)

7 0
3 years ago
Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

Step-by-step explanation:

Given the points

  • (-4,1)
  • (4,3)

Finding the slope between the points (-4,1) and (4,3)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)

m=\frac{3-1}{4-\left(-4\right)}

Refine

m=\frac{1}{4}

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

in our case,

  • m = 1/4
  • (x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

y-y_1=m\left(x-x_1\right)

y-1=\frac{1}{4}\left(x-\left(-4\right)\right)

y-1=\frac{1}{4}\left(x+4\right)

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

5 0
3 years ago
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