All categories

2 years ago

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

Mathematics

1 answer:

ruslelena [56]2 years ago

4 0

Answer:

y=2x-4

Step-by-step explanation:

To find an equation perpendicular to another one, you must find the negative inverse of the slope.

In this case, -1/2 has an inverse of -2, but because we're finding the negative inverse, the two negatives cancel out and we get 2, the slope of our perpendicular equation, which crosses the initial equation, making a right angle.

You might be interested in

3.3+5(-7 + 4)<br><br><br><br>step by step process

SVEN [57.7K]

Answer:

-11.7

Step-by-step explanation:

3.3+5(-7 + 4)

we apply distributive property

3.3+5*(-7) + 5*(4)

we know:

+ * - = -

+ * + = +

so we have:

3.3 -35 + 20

3.3 - 15

-11.7

5 0

3 years ago

Read 2 more answers

a candy bar box is in the shape of a triangular prism. The volume of the box is 1200 cubic centimetres. The base is 10 centimetr

Elina [12.6K]

Answer:

Step-by-step explanation:

$V=\frac{HBL}{2}\\ \\ H=\frac{2V}{BL}\\ \\ H=\frac{2(1200)}{10(20)}\\ \\ H=12cm$

7 0

2 years ago

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

The ratio of white flour to whole wheat flour in a bread recipe is 2:3. The recipe uses 10 cups of flour. How much of each type

lesantik [10]

This means that 2/5 is white and 3/5 is whole wheat, so 2/5 of 10=4 cups of white, 3/5 of 10=6 cups of whole wheat.

8 0

3 years ago

Graphic DesignWorks employed three different salespeople last year. Person

Semenov [28]

Answer:217.00

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers