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3 years ago

5

The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded by x foet. Select all

the expressions that
일
represent the area of the living room in square feet.

1 answer:

Wewaii [24]3 years ago

4 0

Answer:

You simply just do 12 multiplied by 10 which will give you 120m^2

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

$y\geq x-2$

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

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3 years ago

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Help help help help please business

Margaret [11]

Answer:

x = 35°

Step-by-step explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

$2x+20=3x-15$

Then, just solve for x:

$20=x-15\\35=x\\x=35$

You can check that by plugging it back into both:

$2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90$

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3 years ago

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What is the underlined sentence mean can someone explain

suter [353]

Step-by-step explanation:

1235

Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.

So 2 is in tens.

Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.

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How do u do this.I need major help on it

Tpy6a [65]

Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:

(1, 1200), (2, 2400)

We can find the slope of these two points by plugging them into the slope formula:

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}$

For points in the form of (x1, y1), (x2, y2). Plug in what we know:

$\sf m=\dfrac{2400-1200}{2-1}$

Subtract:

$\sf m=\dfrac{1200}{1}$

Divide:

$\sf m=1200$

This is the slope, so we can write the equation:

$\boxed{\sf y=1200t}$

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Use benchmarks to estimate 16.8-5.94

Sunny_sXe [5.5K]

The estimated answer is 11. First you round 16.8 to 17 because the decimal is above 5. Then you round 5.94 to 6 because the first decimal place is greater than 5. Lastly you subtract 17 minus 5 to get 11.

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