All categories

3 years ago

What is the equation of a line that is perpendicular to y=5x-1 and passes through the point (2, -4)

Mathematics

2 answers:

deff fn [24]3 years ago

8 0

Slope intercept form: y = mx + b

m = slope and b = y-intercept

From y = 5x - 1 we can already see that the slope is 5 since it is already in slope intercept form.

The slope of the perpendicular line is the negative reciprocal of the slope for the equation y = 5x - 1.

The negative reciprocal of 5 is -1/5.

So the incomplete equation for the perpendicular line is y = -1/5(x) + b

To find b plug in the x and y values from (2,-4) into the equation to get

-4 = -1/5(2) + b

b = -4 + 1/5(2)

b = -4 + 2/5

b = -18/5

The equation of the perpendicular line is y = -1/5(x) -18/5

Elza [17]3 years ago

7 0

y = -1/5x Hope this helps. I think this is the right answer.

You might be interested in

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

3 years ago

Read 2 more answers

Step by step how to get 22.04 times 2.8 with work

Bumek [7]

Answer:

61.712

Step-by-step explanation:

Multiply .8x.04

Multiply .8x.0

Multiply .8x2

Than add a zero under the answer of .8x.04

Multiply 2x.04

Multiply 2x.0

Multiply 2x2

Multiply 2x 2

4 0

2 years ago

Find the amount of interest.

sattari [20]

Answer:$80

Step-by-step explanation:

3 0

3 years ago

Round 83,461 to the nearest thousand.

ch4aika [34]

Answer:

See below.

Step-by-step explanation:

83,461

This is the thousand place.

5 and above is rounded up, 4 and below is rounded down.

83,000 is the answer.

-hope it helps

4 0

2 years ago

Solve for v <br>160=11-v

user100 [1]

V + 160 = 11
v = -149

Hope this helps

6 0

3 years ago