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2 years ago

Please help!!! Simplify 6(x + y) + (x - y).

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

To solve this it would be:
6(x+y)+x-y
6x+6y+x-y
(6x+x)+(6y-y)
7x+5y
So the answer is:
7x+5y
Hope this Helps!!

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Match the equation below with the following graph.

Lemur [1.5K]

Answer:

2x+4

Step-by-step explanation:

The equation of the line in point-slope form is expressed as;

y - y0 = m(x-x0)

Using the coordinates (0,4) and (-2, 0)

Slope = 0-4/-2-0

slope = -4/-2

slope = 2

Substitute m = 2 and the point (0,4) into the formula;

y - 4 = 2(x-0)

y - 4 = 2x

since y = 4 + 2x

y = 2(x+2)

Hence the required equation is 2x+4

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2 years ago

Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and

Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is $\frac{\sqrt{70}}{2}\ cm$

The length of the rectangle is $2\sqrt{70}\ cm$

Part b) Approximately values

The width of the rectangle is $4.2\ cm$

The length of the rectangle is $16.7\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

$A=LW$

we have

$L=4x\ cm\\W=x\ cm$

substitute the values in the formula

$A=4x(x)$

$A=4x^2$

$A=70\ cm^2$

$70=4x^2$

Solve for x

Divide by 4 both sides

$\frac{70}{4}=x^2$

square root both sides

$x=(+/-)\frac{\sqrt{70}}{2}$

The solution is the positive value

$x=\frac{\sqrt{70}}{2}$

therefore

<em>Exactly values</em>

$L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm$

<em>Approximately values</em>

$L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm$

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Step-by-step explanation:

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