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3 years ago

How to put 2y-8x=20 into slope intercept form

2 answers:

6 0

$The\ slope-intercept\ form:y=mx+b\\\\-------------------------------\\\\2y-8x=20\ \ \ \ \ |add\ 8x\ to\ both\ sides\\\\2y=8x+20\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{y=4x+10}$

Sever21 [200]3 years ago

6 0

Y=mx+b
2y=8x+20 add 8 to both sides
y=4x+10 divide both sides by 2

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A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s

Pepsi [2]

Answer:

$3\sqrt{3} + 72$

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

$9 \times 8 = 72ft^{2}$

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

$\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}$

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is $3\sqrt{3}$

Therefore, the total area of the shaded squares is

$3\sqrt{3} + 72$

3 0

3 years ago

Write -12 in the improper fraction form.

nydimaria [60]

Answer:

$\frac{-12}{1}$

Step-by-step explanation:

An Improper Fraction has a top number larger than (or equal to) the bottom number.

To convert a whole number -12 into an improper fraction we can divide the whole number by one to turn it into a temporary fraction.

$\frac{-12}{1}$

Also we could multiply and divide -12 by another number greater than one, for example:

$\frac{-12*2}{1*2} = \frac{-24}{2}$

There are several ways we can write -12 in the improper fraction form.

6 0

3 years ago

The equation of the parabola whose focus is at (0, 5) and directrix at y = -5 is:

masya89 [10]

The answer is y=(1/20)x^2

7 0

3 years ago

Two-step equations with decimals and fractions<br><br> Solve for p.<br><br> −5(p+ 3/5 )=−4

GrogVix [38]

Answer:

1/5 or 0.2

Step-by-step explanation:

-5(p+3/5)=-4

Let's convert 3/5 to decimal form:

-5(p+0.6)=-4

Expand parentheses:

-5p-3=-4

Add -3 to both sides:

-5p=-1

Divide both sides by -5:

p=1/5 or 0.2

Hope this helps!

4 0

3 years ago

Read 2 more answers

ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?

Alex17521 [72]

Answer:

Perimeter of A'B'C'D' = 9 units

Step-by-step explanation:

Given:

Perimeter of ABCD = 27 units

Scale factor = 1 / 3

Find:

Perimeter of A'B'C'D'

Computation:

Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]

Perimeter of A'B'C'D' = 1/3[27]

Perimeter of A'B'C'D' = 9 units

4 0

3 years ago