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Elanso [62]
3 years ago
10

Write the equation of each line in slope intercept form (If possible please show work)

Mathematics
1 answer:
kow [346]3 years ago
7 0

Answer:

y = -2/3x-9

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3x+b

We have a point we can substitute into the line

-5 = -2/3(-6)+b

Subtract 4 from each side

-5-4 =4+b-4

-9 =b

y = -2/3x-9

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street
Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He  has a height of 5.6 ft  and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

The ratio of the base sides = 24/34

The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

24/34 = 5.6/x

24x = 5.6 × 34

24x = 190.4

divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx
7 0
2 years ago
11+11=4<br> 22+22=16<br> 33+33=<br> What’s the answer
s344n2d4d5 [400]

Answer:

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3 years ago
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