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umka2103 [35]
3 years ago
7

Find an equation of the line through (1,8) and parallel to y = 4x +3. Write the equation using function notation.

Mathematics
2 answers:
brilliants [131]3 years ago
5 0

Answer:

f(x) = 4x + 4

Step-by-step explanation:

When a line is parallel to another line, the slopes are always equal. Therefore,  the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.

Mrrafil [7]3 years ago
5 0

Answer:

Step-by-step explanation:

C

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guajiro [1.7K]
Volume=Length x Width x Height
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The equation is 3 x 10 x 4
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30 x 4 = 120
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3 years ago
A 6-foot tall man casts a shadow that is 12 feet long. What is the measure of the sun's angle of elevation? Enter your answer, r
Masteriza [31]

Answer:

27^{\circ}

Step-by-step explanation:

Let x represent the sun's angle of elevation.

We have been given that a 6-foot tall man casts a shadow that is 12 feet long.

Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.

Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(x)=\frac{6}{12}

\text{tan}(x)=\frac{1}{2}

Using arctan we will get,

x=\text{tan}^{-1}(\frac{1}{2})

x=26.565051177078^{\circ}\approx 27^{\circ}

Therefore, the measure of the sun's angle of elevation is 27 degrees.

3 0
3 years ago
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