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Rina8888 [55]
3 years ago
5

What is the slope of a line that contains the points (2,-7) and (-1, -6)

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer:

Slope = - 1/3

Step-by-step explanation:

Y2-Y1 / X2 - X1

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Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)
valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

y\propto x

y=kx

\dfrac{y}{x}=k

Where, k is the constant of proportionality.

For the given point,

k=\dfrac{-20}{60}

k=\dfrac{-1}{3}

For option (A),

k=\dfrac{30}{-10}

k=-3\neq \dfrac{-1}{3}

For option (B),

k=\dfrac{-15}{30}

k=-\dfrac{1}{2}\neq \dfrac{-1}{3}

For option (C),

k=\dfrac{10}{-30}

k=\dfrac{-1}{3}.

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0
3 years ago
today a boat valued at $45,000.Thebvalue is expected to decrease at a rate of 8.5% each year.What is the value of the boat expec
Stels [109]

Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = \frac{8.5}{100}\times45000=3825

Hence, value becomes = 45000-3825=41175

Value decreased after 2nd year =

\frac{8.5}{100}\times41175=3499.875

Hence, value becomes = 41175-3499.875=37675.125

Value decreased after 3 year =

\frac{8.5}{100}\times37675.125=3202.385

Hence, value becomes = 37675.125-3202.385=34472.74

So, value of the boat after 3 years becomes $34472.74

3 0
3 years ago
Please help with this problem
Maurinko [17]

Answer:

0.01p + 0.05n > 40

0.01p + 0.05n < 20

Step-by-step explanation:

it has to be MORE (greater) than 40

it has to be LESS than 20 coins

hope this helps

not sure if you have to write the second equation, so sorry if it's wrong. :)

7 0
3 years ago
The ratios of the measure of two supplementary angles is 5:7. What is the
Rama09 [41]

Answer:

105 degrees

Step-by-step explanation:

You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.

5 0
3 years ago
Identify the graph of the line 3x-7y=-21
AveGali [126]
Y = (3x-21)/7
the picture is the graph

5 0
4 years ago
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