All categories

3 years ago

Slope and a point point(2,2) slope 1/4

Mathematics

1 answer:

ra1l [238]3 years ago

8 0

Answer:

$y=\frac{1}{4}x+1\frac{1}{2}$

Step-by-step explanation:

In the question you said the slope was 1/4 so i put that in then tried to figure out what would make it eqaul the point which was the one and a half.

You might be interested in

The probability that a student chosen at random from your class is a psychology major is .18. What is the probability that a stu

devlian [24]

Answer: 0.82

Step-by-step explanation:

We know that :

For any event A , the probability of not getting A is given by :-

P(not A)= 1- P(A)

Given : The probability that a student chosen at random from your class is a psychology major is P( psychology major) =0.18.

Then, the probability that a student chosen at random from your class is not a psychology major will be :

P(not psychology major)= 1 - P(psychology major)

= 1-0.18=0.82

Hence, the probability that a student chosen at random from your class is not a psychology major= 0.82

5 0

3 years ago

A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig

Vaselesa [24]

Answer:

a) Depth changing rate of change is $0.24m/min$ , When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of $0.17m/min$ , When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them $\frac{3.5}{10} =\frac{a}{h}$ , then $a=0.35h$ .

a) As we have that volume is $V=\frac{1}{2} 2ahL=ahL$ , then $V=(0.35h^{2})L$ , so we can derivate it $\frac{dV}{dt}=2(0.35h)L\frac{dh}{dt}$ due to the chain rule, then we clean this expression for $\frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt}$ and compute with the knowns $\frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min$ , is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is $2a=0.7h$ , we can derivate it and obtain $\frac{da}{dt}=0.7\frac{dh}{dt} =0.7*0.24m/min=0.17m/min$ The width of the top of the water is changing, When the water is 6 meters deep at this rate

8 0

3 years ago

What is 0.12 repeating expressed as a fraction in simplest form

Ivanshal [37]

I believe it's 11/90

7 0

3 years ago

Read 2 more answers

Perry can fill a sorter with oranges from the conveyer belt in 10 minutes. While Perry fills the sorter, Gillian takes oranges o

ladessa [460]

If x is the amount of time Gillian takes,
1/10 - 1/x = 1/25
Therefore, the answer is A

5 0

3 years ago

Read 2 more answers

Find the surface area plz

vladimir1956 [14]

Hi again! ;)

If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.

Since each side of a square is the same, we first find the area of one surface:

9 × 9 = 81

Then, to find the surface area, we multiply 81 by 6:

81 × 6 = 486

The surface area is
$486 \: {in}^{2}$

7 0

3 years ago