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zubka84 [21]
2 years ago
13

Line equations from point/slope

Mathematics
1 answer:
babunello [35]2 years ago
8 0

Answer:

The answer is

y =  \frac{1}{4} x + 3

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

y=  \frac{1}{4}x  + b \\  2 =  \frac{1}{4} ( - 4) + b \\ 2 =  - 1 + b \\  \frac{ + 1 =  + 1  \:  \:  \:  \:  \:  \:  \:  \: }{3 = b}

We found the y-intercept, so now we plug it in it's right full spot in the formula.

y =  \frac{1}{4} x + 3

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Answer:

multiply 8 x 4=22

Step-by-step explanation:

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3 years ago
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An apple juice factory produced 444 gallons of apple juice in 8 days. How much apple juice, on average, did the factory produce
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55.5 gallons of apple juice on an average day.
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The original cost of a makeup set was $30. After sales tax, Peter paid a total of $31.71. What is the percent sales tax rate?
S_A_V [24]

Answer:

5.7

Step-by-step explanation:

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In the diagram, what is the measure of angle 1?
VLD [36.1K]
We know that
 angle (3x) and angle (9x) are supplementary angles
so
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angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
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the answer is
∡1 is 45°

alternative method
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7 0
3 years ago
A plane is descending towards a runway in Chicago. The plane is flying at an altitude of 11 miles and is 193 miles from the runw
Flura [38]

The plane will make an angle 3.26^{\circ} with the runway.

Explanation:

Given that the plane is flying at an altitude of 11 miles and is 193 miles from the runway, as measured from the ground.

We need to determine the angle that the plane will make with the runway.

From the given measurements, we can see that it is a right angled triangle. Hence, let us use the tangent formula to determine the angle.

The formula for the tangent is given by

tan \ \theta=\frac{opp}{adj}

Where opp=11 and adj=193

Substituting these values in the above equation, we get,

tan \ \theta=\frac{11}{193}

Dividing, we get,

tan \ \theta=0.057

Taking tan^{-1} on both sides of the equation, we get,

\theta= tan^{-1}(0.057)

Simplifying, we have,

\theta= 3.26^{\circ}

Hence, the angle that the plane will make with the runway is 3.26^{\circ}

8 0
3 years ago
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