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3 years ago

How do I use the distributive law to factor 2a + 2b?

1 answer:

7 0

So,

You have to undistribute a common factor in all of the terms.

2a + 2b

There is a 2 in each term.

Undistribute.
2(a + b)

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Explain why there must be at least two lines on any given plane.

Ghella [55]

There must be 2 lines on every plane because you need a y-axis and an x-axis.

6 0

3 years ago

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Solve –19 = x – 4. Question 9 options: A) x = –15 B) x = –23 C) x = –76 D) x = 25

AveGali [126]

Answer:

A.) x = -15

Step-by-step explanation:

-19+4 = x

x = -15

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2 years ago

What is the slope of the line?

butalik [34]

let us assume that make inclination θ

with positive direction of x-axis then slope(m) of the line is given by

m=tanθ.

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8 0

3 years ago

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A semicircle is attached to the side of a rectangle as shown.

laiz [17]

Answer:

$58.8\ mm^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=bh$

where

$b=9\ mm\\h=3\ mm$

substitute

$A=(9)(3)=27\ mm^2$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=9/2=4.5\ mm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=\frac{1}{2}(3.14) (4.5)^{2}$

$A=31.8\ mm^2$

step 3

Find the area of the figure

$A=27+31.8=58.8\ mm^2$

4 0

3 years ago

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The perimeter of a rectangle is 96 yards and the length is 14 yards more than the width what are the dimensions of the rectangle

____ [38]

Answer:

17 yards and 31 yards.

Step-by-step explanation:

Since length is 14 more than width, lets call width: w and length: w+14

So perimeter is 96 so: 2w+2(w+14)=96

2w+2w+28=96 so 4w+28=96

4w=68 and finally w=17

So 17 yards and 31 yards.

6 0

1 year ago