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3 years ago

Write the slope-intercept form of the equation of the line through the given point with the given

Mathematics

1 answer:

sineoko [7]3 years ago

4 0

Answer:

y = 9x - 5

Step-by-step explanation:

The slope is already given, so we just need to find the y-intercept.

Plug in 9 for m, 1 for x, and 4 for y in the equation y = mx + b.

4 = 9(1) + b

b = -5

Now that we know the y-intercept, we can construct the equation of the line.

y = 9x - 5

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3 years ago

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Ulleksa [173]

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3 years ago

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Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .

Now in right triangle $BCD$

$Sin(\angle ACB)=\frac{BD}{BC}\\ \\ Sin(36.8698...)=\frac{BD}{4.8}\\ \\ BD=4.8*Sin(36.8698...)=2.88$

So, the shortest possible length for the service road is 2.88 miles.

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4 years ago

Which number round to 4,100 when rounded to the nearest hundred

scoray [572]

The answer would be B.

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3 years ago

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aleksandrvk [35]

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3 years ago