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3 years ago

Find an equation of the line perpendicular to the graph of 15x-3y = 7that passes through the point at 0,

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Answer:

5y + x = 5c

Step-by-step explanation:

Rewriting the equation, 15x - 3y = 7,

3y = 15x - 7

y = 5x - 7/3. The gradient is 5. The gradient of the perpendicular line is -1/5

The equation of the perpendicular to 15x - 3y = 7 passing through (0,c) is

(y - c)/(x - 0) = -1/5

(y - c)/x = -1/5

y - c = -x/5

y = -x/5 + c

5y = -x + 5c

5y + x = 5c

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Answer:

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2 years ago

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Darina [25.2K]

Answer:

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3 years ago

Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is

Kobotan [32]

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2 years ago

1. If p(x) = 3x + 4x² - 5x +8, find p(-2).

levacccp [35]

Step-by-step explanation:

$\small{\underline{\tt{\red{Given}}}}$

$\rightarrow$ p(x) = -2

$\small{\underline{\tt{\green{solution}}}}$

$\rightarrow$ $p(x) = 3x + {4x }^{2} - 5x + 8$

$\rightarrow$ $p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8$

$\rightarrow$ $p( - 2) = - 6 + 16 + 10 + 8$

$\rightarrow$ $p( - 2) = 10 + 18$

$\rightarrow$ $p( - 2) = 28$

$\small\boxed{p(-2) = 28 }$

Hope it helps

4 0

3 years ago

Parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

IgorC [24]

Answer:

y + 2 = $\frac{1}{5}$ (x - 10)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{5}$ x - 4 ← is in slope- intercept form

with slope m = $\frac{1}{5}$

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = $\frac{1}{5}$ (x - 10) , that is

y + 2 = $\frac{1}{5}$ (x - 10) ← in point- slope form

4 0

2 years ago