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3 years ago

Does this horizontal line have a slope? Explain pls.

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

Y=mc squared that’s the formula. yes

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PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by

photoshop1234 [79]

Answer:

1) The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

$A = x\cdot y$ (1)

Where:

$A$ - Area, measured in square feet.

$x$ - Length, measured in feet.

$y$ - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

$A' = 2\cdot A$ (2)

By applying (1) in (2), we get the following expression:

$A' = 2\cdot x\cdot y$ (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

$A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y$

$A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ (3b)

The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) If we know that $x = 13\,ft$ and $y = 15\,ft$ , then the length and the width of the new patio are, respectively:

$x' = \sqrt{2}\cdot x$

$x' = \sqrt{2}\cdot (13\,ft)$

$x' \approx 18.4\,ft$

$y' = \sqrt{2}\cdot y$

$y' = \sqrt{2}\cdot (15\,ft)$

$y' \approx 21.2\,ft$

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

8 0

2 years ago

(1,-2) y=2x+1 what is the perpendicular line

Nookie1986 [14]

Answer: (1,-2), (1, 3)

Step-by-step explanation:y=2x+1

Y=2(1)+1

Y=2+1

Y=3

3=2x+1

-1 -1

2=2x

_ _

2 2

X= 1 new you got your perpendicular line

So answer is (1, -2), (1, 3)

4 0

3 years ago

2 sqrt of 3 times 3 sqrt of 15

bixtya [17]

The answer would be 40.2 I'm pretty sure I'm right. I hope I helped!

5 0

3 years ago

Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

lara [203]

$\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots$
$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

7 0

2 years ago

Which our equivalent to -11/4

katrin [286]

-11 divided by 4 and -11/4

5 0

2 years ago