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
WINSTONCH [101]
2 years ago
8

Find the equation of this line (-3,0) (0 1)

Mathematics
1 answer:
NikAS [45]2 years ago
3 0

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-0}{0-(-3)}\implies \cfrac{1}{0+3}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{3}[x-(-3)] \\\\\\ y=\cfrac{1}{3}(x+3)\implies y=\cfrac{1}{3}x+1

You might be interested in
A triangle has side lengths of 10, 11, and 15 . what type of triangle is it?
Trava [24]
Answer: scalene and obtuse

Justification:

You can find the angles using the law of cosine:

c^2 = a^2 + b^2 - 2abcos(γ)

=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)

1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818

=> γ = arccos(-0.0181818} ≈ 91°

2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545

=> α = arccos(0.7454545) ≈ 41.8°

3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68

=> β = arccos(0.68) ≈ 47.2°

4) Verification: 91° + 41.8° + 47.2° = 180°

5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).

6) The triangles with one angle greater than 90° are called obtuse.

So, the triangle is scalene and obtuse.
7 0
3 years ago
Write an absolute value equation that has the solutions x=−6 and x=10
Dimas [21]
x^{2} +6x-60=0
3 0
3 years ago
The 40th parallel of north latitude runs across the United States through Philadelphia, Indianapolis, and Denver. At this latitu
Ronch [10]

Answer:

793.25 mi/hr

Step-by-step explanation:

Given that:

The radius of the earth is = 3030 miles

The angular velocity = \dfrac{\pi}{12} rads

If a jet flies due west with the same angular velocity relative to the ground at the equinox;

We are  to determine the How fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen.

NOW;

Distance s is expressed by the relation

s = rθ

s = 3030(\frac{\pi}{12} )

s = 793.25

The speed which depicts how fast in miles per hour the jet would have traveled is :

speed (v) = \frac{s}{t}

v = \frac{793.25}{1}

v = 793.25 mi/hr

Hence, the jet would have traveled 793.25 mi/hr due west at the  40th parallel for this to happen.

7 0
3 years ago
A document that is 35 in. By 40 in. Is redrawn at 1 1/2 scale and then redrawn at 1/4 scale. What are the final dimensions of th
Andru [333]
The dimension of the document is 35 inches by 40 inches.
It is redrawn at a scale of 1 1/2 or 3/2 or 1.5
The dimension will be:
35 * 1.5 = 52.5 in
40 * 1.5 = 60 in

Then redrawn again at 1/4 or 0.25
52.5 * 0.25 = 13.125 in
60 * 0.25 = 15 in

So the final dimensions of the drawing is 13.125 in by 15 in



5 0
3 years ago
Somebody help answer this please and explain!!!! (:
Orlov [11]
It should be B based off the shaded area
4 0
2 years ago
Other questions:
  • Answer please...................
    15·1 answer
  • Which number has a 5 that represents a value ten times greater than the value
    7·1 answer
  • What is the distance between the points (3, 7) and (15, 16) on a coordinate plane?
    15·1 answer
  • Find all solutions to (X+5)(2x-3)=0
    7·1 answer
  • There are four students and a lecturer for a photography session. Determine the number of ways the people can be arranged such t
    9·1 answer
  • WILL GEt BRAINLIEST AND TONS OF POINTS
    6·1 answer
  • ASSAP EASY MATH does a shape stay congruent when it has been rotated
    8·2 answers
  • Triangle Theorems Quiz
    15·1 answer
  • Please help me, I would be very thankful
    15·1 answer
  • (05.04 MC) An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!