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Tasya [4]
3 years ago
11

Passing through point (4, 9) and perpendicular to the line y= -1/5x -3

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

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What is x to the nearest tenth?
Damm [24]

Answer:

A. 37.5

Step-by-step explanation:

4 0
3 years ago
BECKY KUBIAK WISHES TO PURCHASE NEW APPLICANCES FOR HER HOME. THE
ira [324]

Using the monthly payment formula, it is found that:

  • Her monthly payments are of $105.46.
  • The total finance charge is of $3,111.04.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

Considering that she must pay 20% down, the parameters are given by:

P = 0.8 x 2900 = 2320, r/12 = 0.085/12 = 0.007083, n = 24.

Hence the monthly payments are found as follows:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 2320\frac{0.007083(1.007083)^{24}}{(1.007083)^{24} - 1}

A = $105.46.

The total finance charge is composed by the <u>down payment plus the 24 monthly payments</u>, hence:

F = 0.2 x 2900 + 24 x 105.46 = $3,111.04.

More can be learned about the monthly payment formula at brainly.com/question/26267630

#SPJ1

4 0
1 year ago
Which two choices are equivalent to the fraction below 4/6
valentina_108 [34]

The choices b and c are equivalent to \frac{4}{6}.

Step-by-step explanation:

Step 1:

First, we need to bring the fraction \frac{4}{6} to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.

The greatest factor for 4 and 6 is 2. So we divide it by 2.

So \frac{4}{2}=2,  \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}.

Step 2:

Similarly, we need to do the same for all the given four options.

a. \frac{2}{4}, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.

So \frac{2}{2}=1,  \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}.

b. \frac{8}{12}, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.

So \frac{8}{4}=2,  \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}.

For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.

Step 3:

So options b and c are equal to the simplification of \frac{4}{6} i.e. \frac{2}{3}.

5 0
3 years ago
Can anyone help me out??
Troyanec [42]

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

7 0
3 years ago
9/2 divided by 2 = 9/2 x2<br><br> True or false
Mandarinka [93]

Answer:

false

Step-by-step explanation:

the answer would be false

5 0
2 years ago
Read 2 more answers
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