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Galina-37 [17]
2 years ago
11

Write an equation in point-slope form for a line with a slope of 2/3 that passes through (-4,1)

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

Answer:

y-1=2/3(x+4)

Step-by-step explanation:

YOUR WELCOME SJJDJDJ

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1. What events led to the attack at Pearl Harbor?
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War between Japan and the United States.
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The 40th parallel of north latitude runs across the United States through Philadelphia, Indianapolis, and Denver. At this latitu
Ronch [10]

Answer:

793.25 mi/hr

Step-by-step explanation:

Given that:

The radius of the earth is = 3030 miles

The angular velocity = \dfrac{\pi}{12} rads

If a jet flies due west with the same angular velocity relative to the ground at the equinox;

We are  to determine the How fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen.

NOW;

Distance s is expressed by the relation

s = rθ

s = 3030(\frac{\pi}{12} )

s = 793.25

The speed which depicts how fast in miles per hour the jet would have traveled is :

speed (v) = \frac{s}{t}

v = \frac{793.25}{1}

v = 793.25 mi/hr

Hence, the jet would have traveled 793.25 mi/hr due west at the  40th parallel for this to happen.

7 0
3 years ago
-4|x-11|=-16 solve for x in the equation
BigorU [14]

Answer:

x = 7 and 15

Step-by-step explanation:

Divide both sides by -4...

| x - 11 | = 4

because

| -4 | = 4 and

| 4 | = 4

x - 11 = -4 and x - 11 = 4

solve for x in both equations.

x = 7 and x = 15

5 0
3 years ago
Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
3 years ago
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