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Aliun [14]
3 years ago
14

What is the slope intercept form of the equation of the line that passes through the point (-6 ,1) and is perpendicular to the g

raph of 2x + 3y = -5
Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

y = (3/2)x + 10

Step-by-step explanation:

2x + 3y = -5

3y = - 2x - 5

y = (-2/3)x - 5/3

The slope of the original line is -2/3, so the slope of the perpendicular line is 3/2. So now we have the perpendicular line as y = (3/2)x + b. With the point (-6,1),

1 = (3/2)(-6) + b

1 = (-9) + b

10 = b

So y = (3/2)x + 10

Elena-2011 [213]3 years ago
6 0

Answer:

y-1 = 3/2(x+6)

Step-by-step explanation:

slope of equation is -2/3 so to make it perpendicular find the opposite reciprocal: 3/2, that's the new slope, plug in x and y

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I will give brainliest!!
photoshop1234 [79]

Answer:

SA: 664 in²

LA: it’s supposed to be 1040cm???

Step-by-step explanation:

SA: find the area of all sides of the prism first (I suppose it’s rectangular?)

80+80+112+112+140+140 = 664

LA: the lateral area formula is (perimeter of base)*height...

perimeter of base = (6+6+14+14) = 40

40 * 26 = 1040

I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)

8 0
3 years ago
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
Please please answer my question please answer my question
Luda [366]

Answer:

A. Convex heptagon Is the correct answer

Step-by-step explanation:

Please mark brainliest!

4 0
3 years ago
Read 2 more answers
Help with 8 and 9??? Please help me out! Correct answers please
Ipatiy [6.2K]

Answer:

  8.  (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

  9.  f(g(x)) = 4x/(1+6x)

Step-by-step explanation:

8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.

g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)

So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:

  (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

__

9. Substituting the definition of g(x) into the expression for f(x), we get ...

\displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{g(x)+3}=\frac{2}{\frac{1}{2x}+3}\\\\=\frac{2}{\left(\frac{1+6x}{2x}\right)}\\\\(f\circ g)(x)=\frac{4x}{1+6x}

4 0
3 years ago
Imagine each letter of the word "Mathematical" is written on individual pieces of paper and placed in a bag. Should you pick a r
Colt1911 [192]

Answer: 5/12

Step-by-step explanation:

The word "Mathematical" has 12 letters, and 5 of them are vowels.

8 0
3 years ago
Read 2 more answers
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