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3 years ago

What is the equation of a line that has a slope of 2/5 and passes through the point (-5,5)? *

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

Answer:

y = 2/5x + 7

Step-by-step explanation:

substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept

y=mx+b

5 = 2/5(-5) + b

5 = -2 + b

add 2 to both sides to solve for b (y intercept)

b = 7

therefore the equation for the line will be...

y = 2/5x + 7

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Frederico's checking account balance is -$24, and Neela's checking account balance is -$384. How many times the balance of Frede

Vitek1552 [10]

-24y = -384, y would equal 16.

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3 years ago

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If a₁ = 4 and an = 5an-1 then find the value of a5.

igor_vitrenko [27]

The value of $a_{5}$ is 2500, when $a_{1}=4$ and $5a_{n-1}$ .

Given that, $a_{1}=4$ and $5a_{n-1}$ .

We need to find the value of $a_{5}$ .

<h3>What is an arithmetic sequence?</h3>

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of $a_{5}$ :

$a_{2} =5a_{2-1}=5a_{1}=5 \times4=20$

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2 years ago

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation

Alona [7]

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

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3 years ago

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Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

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Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

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4 years ago

ABCD is a parallelogram. Find the measure of ZABC.<br> HELPPP

Lena [83]

Answer:

50°

Step-by-step explanation:

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Since <ADC = <ABC, therefore,

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3 years ago