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nadezda [96]
3 years ago
11

Find the equation of this line. Simplify the fractions (Picture)

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
3/4x + 1/4 = y
Slope = 3/4
Y intercept = 1/4
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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
Zanzabum

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

0.91 feet, 0.73 feet, 1.23 feet.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, given by x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

y = 3x - 2.

The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:

z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}

The perimeter of the triangle is 17.5 feet, hence:

x + y + z = 17.5

x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5

4x + \frac{3(4x - 2)}{4} = 19.5

16x + 12x = 25.5

x = 25.5/28

x = 0.91.

Then the other sides are:

  • y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.
  • z = \frac{3(4 x 0.91 - 2)}{4} = 1.23 feet

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
Find the average rate of change for f(x) = x2 + 7x + 10 from x = 0 to x = 2. A) 5 B) 7 C) 9 D) 11
Studentka2010 [4]

f(x) = x² + 7x + 10

f(0) = (0)² + 7(0) + 10  = 10  ----> (0, 10)

f(2) = (2)² + 7(2) + 10 = 28  -----> (2, 28)

rate of change is slope: \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{28-10}{2-0} = \frac{18}{2} = 9

Answer: 9

3 0
3 years ago
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
Andrei [34K]
Answer: ASA method must be applied to the given triangles to prove then congruent.


In two triangles, if two angles and their included side are congruent then the two triangles are said to be congruent .This method is known as Angle-Side -Angle postulate(ASA).
In the given triangles one side with their corresponding angles are equal. Therefore by ASA postulate they are congruent.
There we can see no other sides are given equal therefore all the other options cannot be applied.

you are lucky I had this test yesterday and I have the answer is ASA my math teacher said it was fine
6 0
3 years ago
Lisa leaves her grandma’s house at noon. If her grandma lives 252 miles from her home, how fast must she drive to get home by 4:
Verizon [17]
Please help with my last question I will help you if you help me
3 0
3 years ago
Plzz help me! Choose the correct slope of the line that passes through the points (1, -3) and (3, -5).
ASHA 777 [7]

Answer:

<h2>The answer is - 1</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

From the question the points are

(1, -3) and (3, -5)

The slope is

m =  \frac{ - 5 -  - 3}{3 - 1}  =  \frac{ - 5 + 3}{2}  =  -  \frac{2}{2}  =  - 1 \\

We have the final answer as

<h3>- 1</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
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