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Tom [10]
3 years ago
8

Find the slope intercept equation that passes through (-3,8) and is perpendicular to the line with the equation: x-7y=12

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

C.  y = 7x + 29 .

Step-by-step explanation:

First find the slope of the given line:

x - 7y = 12

7y = x - 12

y = 1/7 x - 12/7

The slope = 1/7 so the slope of the line perpendicular to this line is

- 1 / -1/7 = 7.

Finding the equation of the  required line:

y - y1 = m(x - x1)

y1 = 8 , m = 7 and x1 = -3:

y - 8 = 7(x + 3)

y = 7x + 21 + 8

y = 7x + 29  answer.

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Determine whether the improper integral converges or diverges, and find the value of each that converges.
Rus_ich [418]

Answer:

Diverges

Step-by-step explanation:

We can solve this by using integral by parts:

Let

u=lnx            dv=(1/x)dx

du=(1/x)dx    v=lnx

\int\limits {lnx/x} \, dx = (lnx)^2-\int\limits {lnx/x} \, dx

We can add

\int\limits {lnx/x} \, dx to both sides

\int\limits{lnx/x} \, dx = (1/2)\cdot{(lnx)^2}

We can evaluate the limit between 2 and infinity.

If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞

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3 years ago
Can someone please help me with comparing function
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3 years ago
Mack wants to calculate the circumference of a circle with a radius of 7 centimeters.
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7 0
3 years ago
A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How
Liula [17]

Answer:

168 miles.

Step-by-step explanation:

5/7x+40+0.75x−118=x

Step 1: Simplify both sides of the equation.

5/7x+40+0.75x−118=x

5/7x+40+0.75x+−118=x

(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)

1.464286x+−78=x

1.464286x−78=x

Step 2: Subtract x from both sides.

1.464286x−78−x=x−x

0.464286x−78=0

Step 3: Add 78 to both sides.

0.464286x−78+78=0+78

0.464286x=78

Step 4: Divide both sides by 0.464286.

0.464286x/0.464286=78/0.464286

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6 0
2 years ago
Solve 0.6861 + t =9.64
prisoha [69]

Answer:

Step-by-step explanation:

you need to subract .6861 from both sides so

9.64-.6861=t

t=8.954

5 0
3 years ago
Read 2 more answers
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