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3 years ago

Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (10, -5).

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b"

For lines to be parallel, the slopes have to be the same.

The given line's slope is 1/2, so the parallel line's slope is also 1/2.

y = 1/2x + b

To find "b", you can plug in the point (10, -5) into the equation.

y = 1/2x + b

-5 = 1/2(10) + b

-5 = 5 + b Subtract 5 on both sides to get "b" by itself

-10 = b

y = 1/2x - 10 Your answer is D (you could have just found the slope to get your answer, since all the slopes are different)

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To receive a C grade, a student must average more than 77 but less than or equal to 85. If Ethan received a C in the course and

den301095 [7]

Answer:

So for his mark will be in between 82 to 130 for C grade

Step-by-step explanation:

We have given that for C grade the minimum average mark should be 77 and maximum average mark should be 85

There are 6 subjects

So total minimum mark = 6×77 =462

And total maximum mark = 85×6 =510

He has five grades as 74,78,76,67,85

So sum of five grades = 74+78+76+67+85=380

Let he get x marks in 6th

So for minimum mark in 6th grade x+380 = 462

x = 462-380=82

For maximum mark x+380=510

x = 510-380 =130

So for his mark will be in between 82 to 130 for C grade

5 0

3 years ago

Help please find the measurements of angle W

guapka [62]

the sum of all the angles = 180

13x-11 + 8x-9 + 30x-4 =180

51x-24 = 180

51x = 204

x=4

w= 8x-9= 8×4-9

= 2e°

5 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-2, 6) and has a slope of -3?

poizon [28]

Answer:

y=-3x

Step-by-step explanation:

3 0

3 years ago

An aircraft jet engine has a thrust of I80N. What impulse is produced<br> in 30 S?

neonofarm [45]

The impulse that was produced by this aircraft jet engine is 5,400 Ns.

<u>Given the following data:</u>

Thrust = 180 Newton.

Time = 30 seconds.

To determine the impulse that was produced by this aircraft jet engine:

<h3>How to calculate impulse.</h3>

Mathematically, impulse is given by this formula:

$I = Ft$

<u>Where:</u>

F is the force or thrust.

t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

$I = 180 \times 30$

Impulse, I = 5,400 Ns.

Read more on impulse here: brainly.com/question/16750406

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2 years ago

Solve for x , 4-3x /2=5

Elan Coil [88]

Answer:

x= -1/3

Step-by-step explanation:

You take out 2 by multiplying 2/1 in both sides

then u have 4-3x=5

You subtract 4 from 5 and you have

-3x=1

divide and the answer is x= -1/3

3 0

3 years ago