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3 years ago

The slope of the line containing the points (-5, 3) and (-2, 1) is

Mathematics

1 answer:

lianna [129]3 years ago

5 0

Answer:

A.-2/3

Step-by-step explanation:

formula of gradient

dy/dx=y2-y2/x2-x1

1-3/-2-(-5)

=-2/3.

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You are designing a rectangular pet pen for your new baby puppy. You have 35 feet of fence barrier. You decide that you would li

Zielflug [23.3K]

Hello from MrBillDoesMath!

Answer:

l = 12 feet, w = 5.5

Discussion:

Let w be the width of the pen and "l" the length. From the problem statement

l = w + 6.5 and the perimeter, P, of the fence -= 35.

Now the perimeter of the rectangle is given by the formula

P = 2l + 2w.

In our case, P = 35 and l = w + 6.5 so the equation becomes:

35 = 2(w+6.5) + 2w =>

35 = 2w + 13 + 2w =>

35 = 4w + 13 => (subtract 13 from both sides)

35-13 = 4w =>

22 = 4w =>

w = 22/4 = 5.5 feet

As, l = w + 6.5, l = 5.5 + 6.5 = 12 feet

Thank you,

MrB

3 0

3 years ago

Please help me on these problems

lukranit [14]

Answer:

a=1 because 3x means 3 multiply 2 and it is substracted from 7 and 7-6 is 1

b=3

c=9

Step-by-step explanation:

hope you will understand from the explanation of a

6 0

3 years ago

The slope of the line represents the unit rate true or false

Georgia [21]

True. For example, if you pay $1 for every 5 apples the slope would either be 1/5 or 5/1 depending on if the number of apples represents x or y.

8 0

3 years ago

How many tens equal 7000 ones ?

serg [7]

My answer was wrong, I'm am very sorry

8 0

3 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago