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3 years ago

Help with distance formula

Mathematics

1 answer:

Anna35 [415]3 years ago

5 0

$Length= \sqrt {(x1-x2)^2+(y1-y2)^2} \\ \\ =\sqrt {(-5-(-2))^2+(1-3)^2} \\ \\ =\sqrt {-3^2+-2^2} \\ \\ = \sqrt {13} \\ \\ = 3.61 units$

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Consider the graph shown.

otez555 [7]

Answer:

y = $\frac{2}{3}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = $\frac{4-2}{3-0}$ = $\frac{2}{3}$

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = $\frac{2}{3}$ x + 2 ← equation of line

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2 years ago

Darryl left the White House and traveled toward the ferry office at an average speed of 25 mph. Some time later Jacob left trave

DanielleElmas [232]

Answer:

2 hours

Step-by-step explanation:

Given the following :

Darryl :

Speed = 25mph

Jacob:

Traveled in opposite direction

Speed = 35mph

After Darryl had traveled for 4 hours, Distance between them was 170 miles

Distance traveled by Darryl :

Speed * time = (25 * 4) = 100 miles

Total distance = distance traveled by Darryl + distance traveled by Jacob

170 miles = 100 miles + distance traveled by jacob

Distance traveled by Jacob = 170 - 100

Distance traveled by Jacob = 70 miles

Time = distance / speed

Time traveled by Jacob = 70 miles / 35mph

Time traveled by Jacob = 2 hours

3 0

2 years ago

4. You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:1

Dvinal [7]

Answer:

48 mph

Step-by-step explanation:

First we need to find the distance from Elkhart to Chicago. Toledo to Elkhart is 136 miles and Toledo to Chicago 244 miles.

So the distance from Elkhart to Chicago can be calculated, since Chicago is farther from Toledo than Elkhart, as: distance(Toledo to Chicago) - distance(Toledo to Elkhart). These distances are given in the problem, so the distance from Elkhat to Chicago is: 244 miles - 136 miles = 108 miles.

This problem basically wants to know the slowest you can be yet still ariving on time. If you are the minimum speed, you will arrive in Chicago exactly at 10:30 A.M. So you have 2 hours and 15 minutes(10:30 A.M - 8.15A.M.) to drive 108 miles.

15 minutes is a fourth of a hour, so you have 2.25hours to go through 108 miles.

The minimum speed you must maintain is 108mph/2.25h = 48mph.

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2 years ago

Solve 3(2x-4)>2(x+4)

DerKrebs [107]

Answer:

x > 5

Step-by-step explanation:

3 ( 2x - 4 ) > 2 ( x + 4 )

6x - 12 > 2x + 8

4x > 20

x > 5

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2 years ago

What two numbers multiplies to 16 and adds to -17?

stepan [7]

-16 and -1 multiply to be 16, but add to be -17

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2 years ago