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3 years ago

What is the solution to the following system of equations?

1 answer:

3 0

Y=6x-11
-2x-3y=-7

Take "6x-11" and insert it where it says 3y. Now you have:

-2x-3(6x-11)=-7

Use distributive property (-3 × 6x) ( -3 × -11). Now you have:

-2x-18x+33=-7

Combine like terms. (-2x + -18x). Now you have:

-20x+33=-7

Subtract 33 from both sides (33-33 and -7-33). Now you have:

-20x=-40

Divide -20 from both sides (-20x/20 and -40/-20). Now you have:

Answer: x= 2

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Find the area of the shaded region.

kolbaska11 [484]

Answer:

$\boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}$

Step-by-step explanation:

Given:

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

And,

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

To Find:

The Area of Shaded region

Solution:

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

$\boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}$

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

$\tt\longrightarrow \: Area =B×h-l×b$

Put their values accordingly:

$\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}$

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

$\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}$

$\tt\longrightarrow \: Area = 39 \: {in}^{2}$

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

$\rule{225pt}{2pt}$

I hope this helps!

8 0

2 years ago

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Line m passes through points (-20, 5) and (-4,7). Line n passes through points (-5,5) and (7,4). Are lines m and n perpendicular

LuckyWell [14K]

Answer:b

Step-by-step explanation: it’s right because it is

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3 years ago

This is very urgent please tell me if the one that is highlighted all blue is correct or not left or right question,which is cor

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Answer:

right option

Step-by-step explanation:

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How to do this and how to find the numbers for it?

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3 years ago

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph tit

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Answer:

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