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3 years ago

Given the points (0,1) and (-2,5) and on a line, find its equation in the form y= mx+b.

Mathematics

1 answer:

AnnZ [28]3 years ago

8 0

Answer:

the desired equation is y = -2x + 1

Step-by-step explanation:

As we go from (-2, 5) to (0, 1), x increases by 2 and y decreases by 4. Thus, the slope of this line is m = rise / run = -4 / 2, or m = -2.

Starting with y = mx + b, insert the knowns:

1 = -2(0) + b. Then b = 1, and the desired equation is y = -2x + 1.

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A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?

andrew-mc [135]

Answer:

Y=-4x+8

Step-by-step explanation:

3 0

3 years ago

A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the g

astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

5 0

2 years ago

You have been offered a job and they would like to know what you would like your annual gross income to be. You know that your l

Hoochie [10]

Divide your lifestyle amount by the percentage:

33,000 / 0.70 = $47,142.86 ( Round the answer as needed.)

3 0

3 years ago

Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must

mote1985 [20]

Answer:

6:38am

Step-by-step explanation:

From the question we are told that

Average speed $V_{avg}=10km/h$

Distance traveled $d=7km$

Generally the velocity across a distance is mathematically given given as $V=d/t$

$10=\frac{7}{t}$

$t=0.7h\\t=42minutes$

Therefore

7:20-42 minutes =6:38am

8 0

3 years ago

Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?

kirill115 [55]

Answer:

15 quarters, 10 nickels

Step-by-step explanation:

$q+n=25$

$0.25q+0.05n=4.25$

multiply the first equation by -0.25 and add the second equation to it

$-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25$
________________
$-0.2n=-2$

$n=\frac{-2}{-0.2} =10$ has 10 nickels

$q=25-n=25-10=15$ has 15 quarters

10(.05) +15(0.25) = 0.5 + 3.75 = 4.25

Hope this helps

8 0

1 year ago