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3 years ago

A bedroom is initially square-shaped with each side x feet long. The room is

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

7x+12

Step-by-step explanation:

length=x

width=x

area=x²

new length=x+3

width=x+4

area=(x+3)(x+4)=x²+7x+12

increase in area=x²+7x+12-x²=7x+12

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Can somebody answer this?

allsm [11]

Let us find the area of the triangle first.

6 x 8 / 2 = 24 ft²

Now we can do the semi circle. Note that it is a semi circle and not a circle.

1/2π(4²) = 8π = 25.12 ft²

Add the areas up to find the area for the figure.

24+25.12 = 49.12 ft²

5 0

4 years ago

Plz, Help me with this question.

UNO [17]

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

= 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

6 0

3 years ago

Read 2 more answers

7) Shannon is selling some embroidered jackets on a Web site. She wants 10 points

ahrayia [7]

Answer: A

Step-by-step explanation:

Nothing you a bum

4 0

3 years ago

X=3,5,6,9

statuscvo [17]

The linear equation that describes the data is f(x) = 2x - 4

Step-by-step explanation:

The form of the linear equation is y = mx + b, where

m is the slope of the line which represents the equation
b is the y-intercept (y at x = 0)

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ ,

where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are 2 points on the line

The table:

→ x : 3 , 5 , 6 , 9

→ f(x) : 2 , 6 , 8 , 14

To find the equation use any two points from the table above

∵ f(x) = y

∵ $(x_{1},y_{1})$ = (3 , 2)

∵ $(x_{2},y_{2})$ = (5 , 6)

- Use the formula of the slope to find m

∵ $m=\frac{6-2}{5-3}=\frac{4}{2}$

∴ m = 2

Substitute the value of m in the form of the equation below

∵ y = mx + b

∴ y = 2x + b

To find b substitute x and y in the equation by the coordinates of any point from the table above

∵ x = 6 and y = 8

∴ 8 = 2(6) + b

∴ 8 = 12 + b

- Subtract 12 from both sides

∴ -4 = b

- Substitute the value of b in the equation

∴ y = 2x + (-4)

∴ y = 2x - 4

∴ f(x) = 2x - 4

The linear equation that describes the data is f(x) = 2x - 4

Learn more:

You can learn more about the linear equation in brainly.com/question/9801816

#LearnwithBrainly

6 0

4 years ago

Which equations represent the asymptotes of the hyperbola (x-1)^2/36-(y-2)^2/64=1 ?

allochka39001 [22]

Answer:

$4x+3y=10$ and $4x-3y=-2$

Step-by-step explanation:

The asymptote equation of a translate hyperbola with equation $\frac{(x-h)^2}{b^2}-\frac{(y-k)^2}{a^2}=1$ is $y=\pm\frac{b}{a}(x-h)+k$

The given hyperbola has equation: $\frac{(x-1)^2}{36}-\frac{(y-2)^2}{64}=1$

Or $\frac{(x-1)^2}{6^2}-\frac{(y-2)^2}{8^2}=1$

Comparing to $\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

We have a=6 and b=8, h=1 and k=2.

We substitute this values to get:

$y=\pm\frac{6}{8}(x-1)+2$

$y=\pm\frac{4}{3}(x-1)+2$

$3y=\pm4(x-1)+6$

We split the plus or minus sign to get:

$3y=4x-4+6$

$3y=4x+2$

$3y-4x=2$

$3y=-4(x-1)+6$

$3y=-4x+4+6$

$3y+4x=10$

5 0

4 years ago