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2 years ago

What is the point slope form of a line with slope 2 that contains the point (1, -1)

Mathematics

1 answer:

mezya [45]2 years ago

3 0

Point slope form is y - y1 = m(x-x1)

So,

y - (-1) = 2(x - 1)
y + 1 = 2x -2 or y + 1 = 2(x -1)

Hope this helps :)

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50 POINTS

Marina86 [1]

vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.

Givens

vi = 160 ft/s

vf = 0 (the rocket stops at the maximum height.)

a = - 9.81 m/s

t = ????

Remark

YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.

Equation

a = (vf - vi)/t

Solve

- 32 = (0 - 160)/t Multiply both sides by t

-32 * t = - 160 Divide by -32

t = - 160/-32

t = 5

You will also need to solve for the height to answer part B

t = 5

vi = 160 m/s

a = - 32

d = ???

d = vi*t + 1/2 a t^2

d = 160*5 + 1/2 * - 32 * 5^2

d = 800 - 400

d = 400 feet

Part B

You are at the maximum height. vi is 0 this time because you are starting to descend.

vi = 0

a = 32 m/s^2

d = 400 feet

t = ??

formula

d = vi*t + 1/2 a t^2

400 = 0 + 1/2 * 32 * t^2

400 = 16 * t^2

400/16 = t^2

t^2 = 25

t = 5 sec

The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.

6 0

3 years ago

(A-6) to the power of 2 turned into equation

weeeeeb [17]

1) acknowledge the rule that anything that’s outside of the bracket applies to EVERYTHING inside of the bracket
2)apply the rule: (A-6)^2

3 0

3 years ago

Please answer this for me.

Nastasia [14]

Answer:

(x + 5)**2 + (y + 2)**2 = 25

Step-by-step explanation:

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. The graph shows the center at (-5, -2), and the radius of 5. So plugging this in

(x - -5)**2 + (y - - 2)**2 = 5**2

(x + 5)**2 + (y + 2)**2 = 25

6 0

2 years ago

Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department

Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator. ⇒ 1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒ 60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of inspectors required by the power plant = m

Now, from the given ratios:

For, 3 electrician there is 1 generator

⇒ For, 3 x 20 Electrician there is 1 x 20 Generators.

or, for 60 Electrician there are 20 Generators. (1)

Also, for 60 Electrician there are 4 inspectors. (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

$\frac{20}{4} = \frac{50}{m}\\ \implies m = 50 \times\frac{4}{20} = 10$

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

3 0

3 years ago

CAN SOMEONE HELP ME!!!!!

Ivenika [448]

Area yellow =11 x 6
= 66
red area = 7 x 2
=14
area of yellow
66 - 14 = 52

7 0

3 years ago