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1 year ago

Write a linear equation that has m=-4 and passes through (5,9)!

Mathematics

1 answer:

sladkih [1.3K]1 year ago

4 0

Answer:

$y=-4x+29$

Step-by-step explanation:

Using point-slope form,

$y-9=-4(x-5) \\ \\ y-9=-4x+20 \\ \\ y=-4x+29$

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Simora [160]

Answer:

1) 0.10

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1 year ago

Please help me! Giving brainliest!

oksano4ka [1.4K]

Using it's formula, the surface area of the figure is:

A. S=2332 m²

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

S = 2(lw + lh + wh)

In this problem, the dimensions are:

35m, 9m, 16m

Hence the surface area of the rectangular prism is:

S = 2(35 x 9 + 35 x 16 + 16 x 9) = 2038 m².

<h3>What is the surface area of a cube?</h3>

The surface area of a cube of side length l is given by:

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S = 6 x 7² = 294 m².

<h3>What is the total surface area?</h3>

The total surface area is the sum of the surface areas, hence:

T = 2038 m² + 294 m² = 2332 m².

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2 years ago

At the beginning of my bike ride I feel good, so I can travel 20 miles per hour. Later, I get tired and travel only 12 miles per

Vesnalui [34]

Answer: $3\dfrac{1}{4}$ hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

x+y= 8

Since : $Distance = Speed\times Time$

So , we have

20x+12y=122

According to the given question , we have the following system of equations ,

$x+y= 8--------(1)\\\\20x+12y=122------------------(2)$

Multiply 12 on both sides of equation (1) , we get

$12x+12y=96------------(3)$

Eliminate equation (3) from (2) , we get

$8x=26\\\\\Rightarrow\ x=\dfrac{13}{4}=3\dfrac{1}{4}$

Hence, you felt $3\dfrac{1}{4}$ hours good.

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3 years ago

What are the quotient and remainder when 777 is divided by 21?

DIA [1.3K]

777 divided by 21 = 34 with a remainder of 3

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3 years ago

On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)

aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = $(\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})$

OP.Cosθ = 1×Cosθ = $\frac{1}{\sqrt{2}}$

Cosθ = $\frac{1}{\sqrt{2}}$

θ = $\frac{\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integers

Similarly, OP×Sinθ = 1×Sinθ = - $\frac{1}{\sqrt{2}}$

Sinθ = - $\frac{1}{\sqrt{2} }$

θ = $\frac{5\pi }{4}+2\pi n$ , $\frac{7\pi }{4}+2\pi n$ where n = integer

Common value of θ will be, θ = $\frac{7\pi }{4}$

Option B will be the answer.

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3 years ago