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3 years ago

What is the slope of a line perpendicular to the line passing through (-23, 8) and (12, -17)

Mathematics

1 answer:

Radda [10]3 years ago

7 0

Answer:

$m=\frac{7}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$
Slope of a perpendicular line is the negative reciprocal of the original

Step-by-step explanation:

Step 1: Define

Point (-23, 8)

Point (12, -17)

Step 2: Find slope m

Substitute: $m=\frac{-17-8}{12+23}$
Subtract/Add: $m=\frac{-25}{35}$
Simplify: $m=\frac{-5}{7}$

Step 3: Find perpendicular slope m

Take negative: $m=\frac{5}{7}$
Take reciprocal: $m=\frac{7}{5}$

And we have our final answer!

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Riya is applying to her garden.She applies it at a rate of 25 ,000 cm^3 of mulch for every m^2 of garden space. At what rate is

LekaFEV [45]

The rate in m³/m² is 40m³/m².

1 m³ is literally a cube with sides that are 1 m in length. 1 m = 100 cm, so each side of this cube is 100cm in length. Finding the volume means multiplying length by width by height:
100(100)(100)=1,000,000 cm³ in 1m³.

We know that we have 25,000cm³ of mulch; we divide to find how many cubic meters this is:
1,000,000/25,000 = 40 m³.

This makes the rate 40m³/m².

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3 years ago

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KiRa [710]

Answer:

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3 years ago

10,534,341 is divisible by a. 3 b. 9 c. 2 Explain your reasoning for your choice(s).

Katyanochek1 [597]

Answer:

a. 3

Step-by-step explanation:

We can get to know if a number is divisible by 3 if after adding all the digits of that number we get a number which is completely divisible by 3 or we can say the number appears in the table of 3.

For example: In the given number if we will add all the digits the we will get 21 and we all know that 21 is divisible by 3.

10,534,341 = 1 + 0 + 5 + 3 + 4 + 3 + 4 + 1 = 21

21 = 21/3 = 7

Other options are incorrect.

Divisibility rule for 2 : A number is said to be divisible by 2 if it's ones place ends in 0, 2, 4, 6 or 8 i.e. an even number. The given number does not satisfy this condition because it ends in 1 which is an odd number.

Divisibility rule for 9 : A number is said to be divisible by 9 if after adding all the digits of that number we get a number which is completely divisible by 9. Since the sum total of the given number is 21 which is not completely divisible by 9 we can easily infer that 9 is not the answer for this question.

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4 years ago

Find the difference of 16 5/8 and 12 9/12.

yawa3891 [41]

First find the least common denominator (8), and then subtract. After subtracting you should get 31/8, which as a decimal is 3.875 and as a mixed number is 3 7/8.

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3 years ago

Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best

Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817

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3 years ago