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2 years ago

What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?

1 answer:

maks197457 [2]2 years ago

3 0

Perpendicular slope: opposite and reciprocal
-4 opposite and reciprocal = 1/4
Y = 1/4x + b
Plug in point
-3 = 1/4(8) + b
-3 = 2 + b, b = -5
Solution: y = 1/4x - 5

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Ms. taylor bought a water tube to pull behind her boat. the tube cost $87.00 and 9% sales tax was added at the register. ms.tayl

zhuklara [117]

Work out 9% of $87.00 then add theat to the $87.00 that will be the total cost. find how much cash she gave the cashier and then minus the total cost from that to find the change she got.

6 0

3 years ago

Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's hou

Rudiy27

The elevation of the plane is 3600 ft

Let

h = elevation of plane,
d = distance from Marsha's house to spot on ground below plane = 3600 feet and
Ф = angle of elevation of plane = 45°

From the triangle, we have the trigonometric ratio

tanФ = h/D

<h3>Elevation of the plane</h3>

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

Learn more about elevation of the plane here:

brainly.com/question/26380084

7 0

1 year ago

Penelope bakes pretzels. She salts 3/8 of the pretzels. Which fraction is equivalent to 3/8? (Show work)

exis [7]

A) 9/24

Step One: Simplify all of the fractions
9/24 = 3/8
15/20 = 3/4
3/16 = 3/16
1/5 = 1/5

Step Two: Fine the answer that simplifies to 3/8

7 0

3 years ago

Read 2 more answers

The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f

kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

$-1 \times (16t^2 +18t -405)$

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of two binomial factors.

For constant 405, possible factorizations are $(81\times 5, 27 \times 15, 9 \times 45).$

$(16t^2 +18t -405) = (8t + 45) (2t - 9)$

Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

3 0

3 years ago

Do you think it is true that any solution point of the equation y=1/2x+1 is a point on the line?

Harman [31]

Yes, yes it is!
Because every point on the line of this equation is also a solution!
THis is called a linear equation!

6 0

3 years ago