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IgorLugansk [536]
3 years ago
12

What is the equation of the line that passes through the given point and is perpendicular to the given line?

Mathematics
1 answer:
skad [1K]3 years ago
6 0

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is <em>(y-1) = m1 (x-1)...............(i)</em> {using one point formula}

Also, another equation which is perpendicular to the line is <em>y = 1/5 x + 4/5..........(ii)</em>

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

m1*m2 = -1

or, m1 * 1/2 = -1

or, m1= -2

Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

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Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27
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4 0
3 years ago
A contractor is adding 243 CY backfill. If each truck can hold 162 CF, how many truck loads are needed
nexus9112 [7]

The number of trucks needed is an illustration of rates

The number of trucks needed is 42

<h3>How to determine the number of trucks</h3>

The size of the backfill is given as: 243 CY

A truck can load up to 162 CF

So, the number of trucks needed is calculated as:

n = \frac{243 CY}{162 CF}

Convert CY to CF

n = \frac{243 * 27CF}{162 CF}

Solve

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4 0
2 years ago
13. Solve the expression f(2) - g(-5) using the functions below.
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Answer:

-17

Step-by-step explanation:

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