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3 years ago

Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Answer:

3x+y=-31

Step-by-step explanation:

$4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}$

Slope of perpendicular line is -3.

$y=-3x+b$

Sub in the point (10, -1)

$-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31$

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2 years ago

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3 years ago

Ravi buys pounds of flour. How many ounces of flour does he buy?

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2 years ago

0. Juan has been saving for a new bike for two months. So far, he has saved

antiseptic1488 [7]

<u>Given</u>:

Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.

The money that he has saved so far is 30% of the cost of the bike.

We need to determine the total cost of the bike.

<u>Total cost of the bike:</u>

Let x denote the total cost of the bike.

The total cost of the bike is given by

$30\% \ of \ x=150$

The value of 30% can be written as $\frac{30}{100}$

Thus, we get;

$\frac{30}{100} \times x=150$

Multiplying both sides by $\frac{100}{30}$ , we have;

$x=150 \times \frac{100}{30}$

Simplifying, we have;

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Thus, the value of x is 500.

Hence, the total cost of the bike is $500.

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2 years ago