1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
antoniya [11.8K]
3 years ago
12

Write an equation of a line that passes through (-12, -14) with slope 6.

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

The slope intercept form of a line is y = mx + b

  • m = slope
  • b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

  • y = 6x + b
  • We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

  • -14 = 6(-12) + b

Solve for b to find the y-intercept.

  • -14 = -72 + b
  • 58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

You might be interested in
A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kg what is the mass of each bag in grams ​
Liono4ka [1.6K]

Answer:

Divide by 4 to get the mass of a single bag and then multiply by 1000 to get to grams from kilograms

Step-by-step explanation:

6/4=1.5

1.5*1000=1500

So, in total a bag of sugar would cost 1500

7 0
2 years ago
Read 2 more answers
A Ferris wheel is 20 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position
pantera1 [17]

Answer:

233.48s  

3.84 min

Step-by-step explanation:

In order to solve this problem, we can start by drawing what the situation looks like. See attached picture.

We can model this situation by making use of a trigonometric function. Trigonometric functions have the following shape:

y=A cos(\omega t+\phi)+C

where:

A= amplitude =-20m because the model starts at the lowest point of the trajectory.

f= the function to use, in this case we'll use cos, since it starts at the lowest point of the trajectory.

t= time

\omega= angular speed.

in this case:

\omega=\frac{2\pi}{T}

where T is the period, in this case 6 min or

6min(\frac{60s}{1min})=360s

so:

\omega=\frac{2\pi}{360}

\omega = \frac{\pi}{160}

and

\phi= phase angle

C= vertical shift

in this case our vertical shift will be:

2m+20m=22m

in this case the phase angle is 0 because we are starting at the lowest point of the trajectory. So the equation for the ferris wheel will be:

y=-20 cos(\frac{\pi}{180}t)+22

Once we got this equation, we can figure out on what times the passenger will be higher than 13 m, so we build the following inequality:

-20 cos(\frac{\pi}{180}t)+22>13

so we can solve this inequality, we can start by turning it into an equation we can solve for t:

-20 cos(\frac{\pi}{180}t)+22=13

and solve it:

-20 cos(\frac{\pi}{180}t)=13-22

-20 cos(\frac{\pi}{180}t)=-9

cos(\frac{\pi}{180}t)=\frac{9}{20}

and we can take the inverse of cos to get:

\frac{\pi}{180}t=cos^{-1}(\frac{9}{20})

which yields two possible answers: (see attached picture)

so

\frac{\pi}{180}t=1.104 or \frac{\pi}{180}t=5.179

so we can solve the two equations. Let's start with the first one:

\frac{\pi}{180}t=1.104

t =1.104(\frac{180}{\pi})

t=63.25s

and the second one:

\frac{\pi}{180}t=5.179

t=5.179(\frac{180}{\pi})

t=296.73s

so now we can build our possible intervals we can use to test the inequality:

[0, 63.25]  for a test value of 1

[63.25,296.73] for a test value of 70

[296.73, 360] for a test value of 300

let's test the first interval:

[0, 63.25]  for a test value of 1

-20 cos(\frac{\pi}{180}(1))+22>13

2>13 this is false

let's now test the second interval:

[63.25,296.73] for a test value of 70

-20 cos(\frac{\pi}{180}(70))+22>13

15.16>13 this is true

and finally the third interval:

[296.73, 360] for a test value of 300

-20 cos(\frac{\pi}{180}(300))+22>13

12>13 this is false.

We only got one true outcome which belonged to the second interval:

[63.25,296.73]

so the total time spent above a height of 13m will be:

196.73-63.25=233.48s

which is the same as:

233.48(\frac{1min}{60s})=3.84 min

see attached picture for the graph of the situation. The shaded region represents the region where the passenger will be higher than 13 m.

3 0
2 years ago
1. Use the graph to make a linear model of each function. Write a system of equations and state what the solution represents.
Vesnalui [34]

Answer:

ok so 300 square feet so draw a line there

Step-by-step explanation:

sorry if im not crocect

7 0
3 years ago
A pail holds 4 1/4 gallons of water. How much is this in cups?
Oliga [24]
16 cups in 1 gallon so multiply 4 1/4 x 16 =68 cups
6 0
2 years ago
Read 2 more answers
This is for my quiz) Wich table is linear and why is it linear?
Anestetic [448]
Both graphs A and B are linear. In both graphs, the y value is going up at a constant rate in comparison to their x values. For example, in graph A every time the x value is increased by 1 the y value is increased by 2 values showing that they have the same gradient. For a graph to be linear it must have a constant rate of increase or decrease.
8 0
2 years ago
Other questions:
  • P= 4s, for s =12 im just asking
    8·1 answer
  • What is the volume of the figure ?
    8·2 answers
  • Math question<br> see if you're able to help!!!<br>*plz explain*
    15·1 answer
  • Need help on this question
    7·2 answers
  • Which of the following is not a way to represent the solution of the inequality 8x – (5x + 4) 2-31?
    6·1 answer
  • Misty is buying a house for $385,000. She is financing $345,500 and obtained a 15-year, fixed-rate mortgage with a 4.875% intere
    10·1 answer
  • 13.
    15·1 answer
  • Please answer ASAP!!!
    5·1 answer
  • Workers at a quarry are removing rock at a daily rate of 0.1%. There are 3.2 tons of rock when the work begins.
    10·2 answers
  • 8 sandwiches cost £18.40<br> Find the cost of 5 sandwiches.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!