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Maslowich
3 years ago
5

I am confused with this question. Can you help me?

Mathematics
1 answer:
Triss [41]3 years ago
5 0
In point-slope form, the equation of the line is
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)

You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
.. y -(-28) = (-7/2)*(x -8)
.. y +28 = (-7/2)x +28 . . . . simplify
.. y = (-7/2)x . . . . . . . . . . . . subtract 28
To put this into standard form, we can multiply by 2, then add 7x.
.. 2y = -7x
.. 7x +2y = 0 . . . . . . . . . . . the standard form equation you want

You might be interested in
What were the factor(s), levels, and treatments for this experiment?
wolverine [178]

Step-by-step explanation:

A factor is an independent variable that is manipulated in an experiment.

Every factor has two or more levels, which are different values of the factor.

A combination of factor levels is called a treatment.

There is one factor: number of jumps.

This factor has two levels: sets of 10 and sets of 20.

For a single factor experiment, the levels are also the treatments: Jump 10 program and Jump 20 program.

8 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Verdich [7]
This is the concept of algebra, to get the slope of the line we need to rewrite the equation in slope intercept form y=mx+c, where m=slope, c=y-intercept.
Therefore re-writing our expression in slope-intercept form we get:
7x-3y=10
-3y=-7x+10
y=7/3x-10/3
The slope=7/3
hence we conclude that the slope of the line perpendicular to this is -3/7


4 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Brrunno [24]

Answer:

Converges at -1

Step-by-step explanation:

The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.

We will make use of integral by parts to determine:

let:

u=x             dv=e^(2x)\cdot{dx}

du=dx         v=2\cdot{e^(2x)}

\int\limits^a_b {u} \, dv = uv -\int\limits^a_b {v} \, du

\int\limits^a_b {x\cdot{e^2^x} \, dx =2xe^2^x- \int\limits^a_b {2e^2^x} \, dx

\int\limits^a_b {xe^2^x} \, dx = 2xe^2^x-2e^2^x-C

We can therefore determine that if x tends to 0 the limit is -1

\lim_{x \to \0} 2xe^2^x-2e^2^x=0-1=-1

5 0
3 years ago
X^2 -9 divided by x+3
WINSTONCH [101]

Step-by-step explanation:

Hey, there!!

Given that,

\frac{ {x}^{2} - 9 }{x + 3}

{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.

\frac{ {x}^{2} -  {3}^{2}  }{x + 3}

We have a^2-b^2= (a+b) (a-b), so keep same formula on it.

\frac{(x + 3)(x - 3)}{(x + 3)}

(x+3) in numerator and denominator gets cancelled,

(x - 3)

Therefore, (x-3) is the final value.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
A family went on vacation and used 45.3 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they ne
victus00 [196]

Answer:

d) 105.7\ \text{gallons}

Step-by-step explanation:

150\ \text{miles} requires 45.3\ \text{gallons of fuel}

1\ \text{mile} requires \dfrac{45.3}{150}\ \text{gallons of fuel}

200\ \text{miles} requires 200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}

So, total amount of gasoline required for the trip is 60.4+45.3=105.7\ \text{gallons}.

6 0
3 years ago
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