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lukranit [14]
2 years ago
7

Find the equation of the line. Use exact numbers.

Mathematics
1 answer:
Citrus2011 [14]2 years ago
3 0

Answer:

y = 4x + -9

Step-by-step explanation:

The y intercept which is -9, is the point in which the graph crosses the x-axis

In order to find the slope we need to identify two clear points on the graph.

- (0, -9)

- ( 1, -5)

Now that we have our two points we need to find the distance between them.

As you can see on the attachment the distance between the two points is 4 units up and 1 unit to the right, therefore the slope is 4/1 = 4.

Final Answer: y = 4x + -9

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3 years ago
A cell tower has the hieght of 70 meters. The Tower casts a shadow of 45 meters on the ground. What is the angle of elevation of
laiz [17]

Answer:

\theta=0.99^{\circ}

Step-by-step explanation:

Given that,

The height of a cell tower, P = 70 m

The tower casts a shadow of 45 meters on the ground.

We need to find the angle of elevation of the shadow to the top of the cell tower. We can use trigonometry to find it.

\tan\theta=\dfrac{P}{B}

Put all the values,

\tan\theta=\dfrac{70}{45}\\\\\theta=\tan^{-1}\left(\frac{70}{45}\right)\\\\\theta=0.99^{\circ}

Hence, the angle of elevation is equal to 0.99^{\circ}.

4 0
3 years ago
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RoseWind [281]
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6 0
2 years ago
Read 2 more answers
One number is 7 more than another. The difference between their squares is 161. What are the numbers?
olga nikolaevna [1]
Let's say the numbers are "a" and "b"

now, we know one of them is 7 more than the other, so hmmm let's say "b" is 7 more than "a", so b = a + 7

the difference of their squares is 161, alrite

\bf a^2-b^2=161\qquad b=a+7\implies a^2-(a+7)^2=161
\\\\\\
a^2-(a^2+14a+49)=161\implies \underline{a^2-a^2}-14a-49=161
\\\\\\
-14a-49=161\implies -49-161=14a\implies -210=14a
\\\\\\
\cfrac{-210}{14}=a

and surey you know how much that is

now, what's "b"? well, b = a + 7
3 0
3 years ago
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