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
Crazy boy [7]
2 years ago
11

3

Mathematics
1 answer:
zaharov [31]2 years ago
6 0

The solutions are given below:

1. 3y- 9 = 2x

2.  2/3.

3. y/x

4.  y = (2/3)x + 3

<h3>What is equation of line?</h3>

The equation of a line with one given point (x1, y1) is (y - y1) = m(x - x1). Here m is the slope of the line.

The complete question is:

On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7.

Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3).

What is the ratio of the rise to the run in the smaller triangle in the diagram?

What is the ratio of the rise to the run in the larger triangle in the diagram?

What is the equation of the line in slope-intercept form?

1. slope= 2/3

coordinates= (0, 3)

y-y1 = m(x-x1)

y-3 = 2/3(x-0)

y-3 = 2/3x

3y- 9 = 2x

2. The ratio of the rise to the run in the smaller triangle in the diagram

is y/x = 2/3

3. The ratio of the rise to the run in the larger triangle = y/x

4. The equation of the line in slope-intercept form is given by:

  y = (2/3)x + 3

Learn more about this concept here:

brainly.com/question/15799501

#SPJ1

You might be interested in
Can i please know the asnwer
kicyunya [14]

Answer:

volume = 10m^3

Step-by-step explanation:

This shape is called a rectangular prism. The formula for finding the volume of this prism is: volume = L * W * H

All you do is plug the values into the formula.

The length is 2m

The width is 1m

the height is 5m

Volume = (2m)(1m)(5m)

Volume = 10m^3

4 0
3 years ago
Jessica wrote a report
LenaWriter [7]
Answer: 12:14 pm.

Explanation: 27 minutes after when Sally started, 11:48, is 12:14.
7 0
3 years ago
Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de
attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: \frac{x}{12\pi } = \frac{130}{360}

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) \frac{arclength}{2\pi.r } = \frac{mAB}{360}, where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = \frac{mAB.2.\pi.r }{360}

arc length = \frac{90.2.3.14.6}{360}

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

\frac{x}{2.6.\pi } = \frac{130}{360}

\frac{x}{12\pi } = \frac{130}{360}

c) Resolving (b):

x = \frac{130.12.3.14}{360}

x = 13.6

The arc length for the image is 13.6 inches.

6 0
3 years ago
Evaluate 12∣∣−x+3∣∣−5 when x = 11.
Evgen [1.6K]

Answer:

91

Step-by-step explanation:

12∣∣−x+3∣∣−5

Let x = 11

12∣∣−11+3∣∣−5

Do the absolute value first

12∣∣-8∣∣−5

Taking the absolute value, which means making it positive

12* 8 -5

Multiply and divide

96 -5

91

7 0
3 years ago
Help help help help help​
Luden [163]

Answer:

the answer is going to be D. (3,4,5,8,9,3)

7 0
3 years ago
Other questions:
  • What would be the finance charge on a 5-year loan for a new Honda Accord costing $32,000 at 3.99% APR? *
    13·1 answer
  • Kai calculates that he spends 15% of a school day in science class. If he spends 500 minutes in school what percent does he spen
    7·1 answer
  • Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has probability 0.6 of coming up heads. If the coin flipp
    6·1 answer
  • Find the area of each figure to the nearest tenth<br><br>I need helppp
    8·1 answer
  • Find the mean, median, mode and range of the data set after you perform the given operation on each data value.
    13·2 answers
  • the congruent sides of an isosceles triangle are each one unit longer than the length of the shortest side of the triangle the p
    11·2 answers
  • Which fraction is larger 1/4 or 2/5 find the common denominator
    10·2 answers
  • 2. Two of the radii for the inscribed circle below have the expression 2x -8 and 4x
    6·1 answer
  • I think of a number add 3 to it and multiply the result by 7.
    9·2 answers
  • What is the shortest horizontal shift of a sine curve that will turn it into a cosine curve?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!