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3 years ago

Simplify the expression below using the distributive property

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:

40+15i

Step-by-step explanation:

I don't know why you are doing this when you clearly know the answer. Have a good day.

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Pleaseeee helpppp me What is the perimeter of ABDE

Eddi Din [679]

Given:

Given that the graph of a triangle BDE.

The coordinates of the triangle are B(-2,3), D(2,6) and E(3,2)

We need to determine the perimeter of the triangle BDE.

Length of BD:

The length of BD can be determined by substituting the coordinates (-2,3) and (2,6) in the formula,

$BD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$BD=\sqrt{(2+2)^2+(6-3)^2}$

$BD=\sqrt{(4)^2+(3)^2}$

$BD=\sqrt{16+9}$

$BD=\sqrt{25}$

$BD=5$

Length of DE:

Substituting the coordinates of D(2,6) and E(3,2) in the formula, we get;

$DE=\sqrt{(3-2)^2+(2-6)^2}$

$DE=\sqrt{(1)^2+(-4)^2}$

$DE=\sqrt{1+16}$

$DE=\sqrt{17}$

Length of BE:

Substituting the coordinates of B(-2,3) and E(3,2) in the formula, we get;

$BE=\sqrt{(3+2)^2+(2-3)^2}$

$BE=\sqrt{(5)^2+(-1)^2}$

$BE=\sqrt{25+1}$

$BE=\sqrt{26}$

Perimeter of ΔBDE:

The perimeter of triangle BDE can be determined by adding the lengths of BD, DE and BE.

Thus, we have;

$Perimeter=5+\sqrt{17}+\sqrt{26}$

Hence, the perimeter of ΔBDE is √17 + √26 + 5

Thus, Option A is the correct answer.

8 0

3 years ago

LAND Kate was given a square plot of land in which to build. If one side of the plot was (3a)3 feet long, express the area of he

Eva8 [605]

Answer:

$729a^6\ ft^2$

Step-by-step explanation:

The area of the square is

$A_{square}=\text{Side}^2$

If one side of the plot was $(3a)^3$ feet long, then the area of the square plot is

$A_{Square\ plot}=((3a)^3)^2\ ft^2$

Simplify this expression

$A_{Square\ plot}=((3a)^3)^2=(3a)^3\cdot (3a)^3=27a^3\cdot 27a^3=27\cdot 27\ccdot a^{3+3}=729a^6\ ft^2$

6 0

3 years ago

When 6 is subtracted from a square of a number the result is 5 times the number

erastova [34]

Answer:

Step-by-step explanation:

The starting number is 6

6*6=36

36-6=30

6*5=30

6 0

4 years ago

Pls just say how to find the right graph of the function

ElenaW [278]

The period of an function, is how many times it takes to complete one cycle, if the period is 2π then after 2π the function would have been completed one entire cycle, but what I mean by cycle?

It's when the function start again, these functions are called periodic functions for a reason, after between that interval, the function goes up, goes to 0 again, go down and finally goes zero again, it means a cycle! the function goes up, down and then return to the same point.

If you look at the picture, the function took 2π just to go up and zero, it needs more 2π to go down and return to zero, then it's period is 4π.

The bottom function complete its cycle in just π!

I hope you liked it, maybe the draw will help you!

Any doubt? just write in the comment and I'll help you.

4 0

3 years ago

What is an equation for the line parallel to y = -x + 7 that passes through (7,-2)?

gtnhenbr [62]

Answer:

y = -x + 5

Step-by-step explanation:

Parallel line has same slope with the given, so the line is

y = -x + b

Using the given point, finding the value of b

-2 = -7 + b
b = 7 - 2
b = 5

The equation is

y = -x + 5

8 0

3 years ago