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Veronika [31]
3 years ago
5

What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0

Answer:

y = -5x + 21

Step-by-step explanation:

perpendicular lines have slopes that are negative reciprocals.

The given line has a slope of 1/5, so the perpendicular line will have a slope of -5.

y = -5x + B

-4 = -5(5) + B

B = -4 + 25 = 21

y = -5x + 21

Thepotemich [5.8K]3 years ago
8 0

Answer:

b

Step-by-step explanation:

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The measure of an angle is 140°. What is the measure of its supplementary angle
Darina [25.2K]

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are angles in which their measures combined add up to 180 degrees. So we can set up an equation:

140+x=180

x=40

So the other supplementary angle is 40 degrees

7 0
3 years ago
Read 2 more answers
Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
Sladkaya [172]

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

3 0
3 years ago
Read 2 more answers
The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?
Ierofanga [76]

Answer:

Option b

Step-by-step explanation:

A function is even if and only if f(-x) = f(x).

This means that there is the same value of y for x_0 and for -x_0

Where x_0 is any point belonging to the function .

Therefore you must select a graph whose ordered pairs are of the form (x_0, y_0) and (-x_0, y_0)

Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.

8 0
3 years ago
Please help me with this equation, add process too. Thanks
ICE Princess25 [194]

\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}

Let's solve ~ ☂

\qquad \sf  \dashrightarrow \:  - 0.6(m + 1) = 3

\qquad \sf  \dashrightarrow \:  - (m + 1) = 3 \div 0.6

\qquad \sf  \dashrightarrow \:  - (m + 1) = 5

\qquad \sf  \dashrightarrow \:  - m  -  1= 5

\qquad \sf  \dashrightarrow \:  - m = 5 + 1

\qquad \sf  \dashrightarrow \:  - m =  6

\qquad \sf  \dashrightarrow \: m =  - 6

I hope it helps ~

6 0
2 years ago
Dave has 10 poker chips, 6 of which are red and the other 4 of which are white. Dave likes to stack his chips and flip them over
Marina86 [1]

The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.

The solution

To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.

The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.

6/2 = 3

10/2 = 5

4/2 = 2

1/2(10C6) - (5C3) + (5C3)

0.5(210-10+10)

= 110

8 0
2 years ago
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