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4 years ago

HELP PLEASE 9TH GRADE MATH

Mathematics

1 answer:

Neko [114]4 years ago

5 0

Answer:

Step-by-step explanation:

Perpendicular lines have a reciprocal slope with the opposite sign. The y-intercept does not matter

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What is the perimeter in square units of the rectangle shown on the coordinate grid?

Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

$\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here : x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

$\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}$

$\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}$

$\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}$

$\mathsf{\implies Length = \sqrt{36 + 64}}$

$\mathsf{\implies Length = \sqrt{100}}$

$\mathsf{\implies Length = 10}$

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here : x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

$\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}$

$\mathsf{\implies Width = \sqrt{[2 + 2]^2 + [-3]^2}}$

$\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}$

$\mathsf{\implies Width = \sqrt{16 + 9}}$

$\mathsf{\implies Width = \sqrt{25}}$

$\mathsf{\implies Width = 5}$

Perimeter of a Rectangle is given by : 2[Length + Width]

$:\implies$ Perimeter of the given rectangle = 2[10 + 5]

$:\implies$ Perimeter of the given rectangle = 2[15]

$:\implies$ Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0

3 years ago

Read 2 more answers

Anu is 20 years older than rinu. she is also 6 times as old as rinu. find their ages

morpeh [17]

Step-by-step explanation:

let Rinus age be R

Anu's age is equal to 20+R and 6×R

20+R=6×R

20+R=6R

Collect like terms

20=6R-R

5R=20

Divide both sides by 5

R=20/5

R=4

Therefor Rinu is 4 years while Anu is 20+4 which is 24 years

7 0

3 years ago

If AABC= ADBC, then B is the midpoint of AD.<br> O A. True<br> O B. False

zubka84 [21]

Answer:

I'm gonna guess and say true

3 0

3 years ago

PLEADE HELP ILL WILL GIVE GAFT BRAINLIEST BRAINLIEST PLEAS EPLEASE PLEASE

liq [111]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Hope this helps!

Step-by-step explanation:

8 0

3 years ago

If a toy helicopter is moving at 12 m/s, how much energy does 3kg toy have?

kakasveta [241]

9514 1404 393

Answer:

216 J

Step-by-step explanation:

The kinetic energy is given by ...

KE = 1/2mv^2

KE = (1/2)(3 kg)(12 m/s)^2 = 216 kg·m²/s² = 216 J

The kinetic energy of the toy is 216 joules.

Its potential energy depends on its height.

6 0

4 years ago