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2 years ago

Multiply (2x + 5z)(7x - 6z) Simplify your answer.

Mathematics

1 answer:

Ugo [173]2 years ago

5 0

Hello!

Explanation:

Distributive property: a(b+c)=ab+ac

Multiply by the numbers.

Product it's going to be multiply by the numbers, fractions, decimals, factors, and multiples.

First, apply used their FOIL.

Foil: (a+b)(c+d)=ac+ad+bc+bd

2x*7x+2x(-6z)+5z*7x+5z(-6z)

Then you can also apply by the minus/plus sign.

2*7xx-2*6xz+5*7xz-5*6zz

And finally simplify by equation.

2*7xx-2*6xz+5*7xz-5*6zz

Answer: =14x²+23xz-30z²

Hope this helps!

-Charlie

Thanks!

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4x + 7x - 2 + 5x - 10 find the value of x

valina [46]

Answer:

x = 4/5

Step-by-step explanation:

1) Group like terms

4x + 7x + 5x - 2 - 10 = x

2) Add similar elements

16x - 2 - 10 = x

3) Subtract

16x - 12 = x

4) Add 12 to both sides

16x - 12 + 12 = x + 12

5) Simplify

16x = x + 12

6) Subtract x from both sides

16x - x = x + 12 - x

7) Simplify

15x = 12

8) Divide both sides by 15

15x/15 = 12/15

9) Simplify

x = 4/5

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2 years ago

Carla discover that she could create the perfect shaped heart by combining two semi circles and a square what is the area of the

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What’s the area of the semi circles and square?

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2 years ago

A rectangle has a width of x centimeters and a perimeter of 8x centimeters a square has sides of length 1/4 that of the length o

Amanda [17]

Answer:

Part A) The length of rectangle is $3x\ cm$

Part B) The perimeter of the square is $3x\ cm$

Part C) $20\ cm$

Part D) $39\ cm^{2}$

Step-by-step explanation:

Part A) Find the length of the rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

we have

$P=8x\ cm$

$W=x\ cm$

substitute and solve for L

$8x=2(L+x)$

$4x=(L+x)$

$L=4x-x=3x\ cm$

Part B) Find the perimeter of the square

we know that

The perimeter of a square is

$P=4b$

we have that

$b=(1/4)L$

substitute the value of L

$b=(1/4)3x=(3/4)x\ cm$

Find the perimeter of the square

$P=4(3/4)x=3x\ cm$

Part C) Find how many cm greater the rectangle's perimeter than the square's perimeter if x=4

Find the value of rectangle's perimeter

$P=8x\ cm$ ------> $P=8(4)=32\ cm$

Find the value of square's perimeter

$P=3x\ cm$ ------> $P=3(4)=12\ cm$

Find the difference

$32\ cm-12\ cm=20\ cm$

Part D) Find how many square cm greater the rectangle's area is than the square's area if x=4

Find the value of rectangle's area

$A=(3x)(x)=3x^{2}\ cm^{2}$ ------> $A=3(4^{2})=48\ cm^{2}$

Find the value of square's area

$A=((3/4)x)^{2}\ cm^{2}$ ------> $A=((3/4)(4))^{2}=9\ cm^{2}$

Find the difference

$48\ cm^{2}-9\ cm^{2}=39\ cm^{2}$

6 0

2 years ago

Raymond works in an electronics store and gets a 12 percent employee discount. The original cost of a video game system is $175.

slava [35]

Answer:

A. $154.00

Step-by-Step Explanation:

Okay so, the first step is to get 12% and move the decimal to the left twice like this:

.12

Then, multiply 175 by .12 like this:

175 * .12 = 21

Lastly, subtract 21 from 175 like this:

175 - 21 = $154

6 0

2 years ago

Read 2 more answers

Which choice is the equation of a line that passes through the point (–2, 8) and is perpendicular to the line represented by thi

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

$\text{If}\ A_1x+B_1y=C_1\ \text{is perpendicular to}\ A_2x+B_2y=C_2,\ \text{then}\\\\\dfrac{A_1}{B_1}=-\dfrac{B_2}{A_2}.\\\\\text{We have the equation:}\ 5x-2y=-10\to A_1=5,\ B_1=-2.\\\\\dfrac{A_1}{B_1}=\dfrac{5}{-2}\to-\dfrac{B_2}{A_2}=-\dfrac{5}{2}\qquad\text{change the signs}\\\\\dfrac{B_2}{A_2}=\dfrac{5}{2}\to A_2=2,\ B_2=5\\\\\text{Therefore the equation of a perpendicular line is:}\\\\2x+5y=C\\\\\text{Put the coordinates of the given point and solve for}\ C:\\\\2(-2)+5(8)=C\\\\C=-4+40\\\\C=36\\\\\text{Finally:}\\\\2x+5y=36$

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2 years ago