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Kitty [74]
3 years ago
5

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the

top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

y = 36 - \frac{3}{4}x

Step-by-step explanation:

The missing parameters are:

h = 36in --- height of rails

The rate of decrement is: 9 inches for every 12 horizontal inches.

Required

The function

First, we represent the rate (r) as a fraction.

r = -\frac{9}{12} ---- negative, because it decreases

Simplify

r = -\frac{3}{4}

So, the function is:

y = h + r * x

Where:

x \to distance from top

So, we have:

y = 36 - \frac{3}{4}x

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The scatter plot below shows the distances some employees of a company commute to work and the annual
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It is a

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6 0
3 years ago
Two triangles have the same heights. One triangle has a base length that is twice the base length of the other triangle. Are the
djyliett [7]

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

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Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

3 0
3 years ago
How many weeks does it take to earn a million dollars if you are paid $30 per hour and work 35 hours a week for 50 weeks a year?
Alik [6]

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1000

Step-by-step explanation:

3 0
3 years ago
A jogger running around a rectangular park takes a shortcut back to her car by jogging from one corner of the park to the diagon
coldgirl [10]

Answer:the short cut is 55 meters.

Step-by-step explanation:

The park around which the jogger jogged is rectangular in shape. The Short cut that the jogger jogged through to her car is the diagonal of the rectangle. The diagonal becomes the hypotenuse of the rectangle. The sides of the field becomes the opposite side and adjacent side of the triangle. To determine the length of the diagonal, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 44^2 + 33^2 = 3025

Hypotenuse = √3025

Hypotenuse = 55 meters

8 0
3 years ago
If the ordinate is three more than twice the abscissa and x E {-1,0,-1/3} which of the following sets of ordered pairs satisfies
almond37 [142]
<span>The ordinate is three more than twice the abscissa
</span>Ordnate: y; Abscissa: x
y=3+2x

x=-1→y=3+2(-1)=3-2→y=1→(x,y)=(-1,1)
x=0→y=3+2(0)=3+0→y=3→(x,y)=(0,3)
x=-1/3→y=3+2(-1/3)=3-2/3=(3*3-2)/3=(9-2)/3→y=7/3→(x,y)=(-1/3,7/3)

Answer: Option <span>A) {(-1,1),(0,3),(-1/3,7/3)}</span>
8 0
3 years ago
Read 2 more answers
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