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borishaifa [10]
3 years ago
13

What is the solution set of these system5x-2y=17 and 4x-7=13?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer:

x=5

y=4

Step-by-step explanation:

Step 1:

Let us solve for <em>x</em> using the 4x-7=13 equation by <u>isolating terms containing the variable</u>:

4x-7=13\\4x=20\\\fbox{x=5}

Great! <em>x</em> is 5... let's find <em>y</em>.

Step 2:

Since we know the value of <em>x</em>, we can use what we know to find <em>y</em> using the <u>other equation</u>:

5x-2y=17\\

<em>Given that x=5, we can </em><u><em>replace</em></u><em> x with 5</em>.

5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}

<em>I hope this helps! Let me know if you have any questions :)</em>

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3 0
3 years ago
PHYSICS As a ray of light meets a mirror, the light
Lady bird [3.3K]
<h3>Answer:  37 degrees</h3>

========================================================

Explanation:

The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.

So angle RMI = 106 is bisected, i.e. divided in half, to get

  • Angle RMN = 53
  • Angle NMI = 53

since 106/2 = 53

Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,

angle RMJ = (angle NMJ) - (angle RMN)

angle RMJ = 90 - 53

angle RMJ = 37 degrees

----------

In short: divide 106 in half to get 53, then subtract it from 90

5 0
2 years ago
Let the function f(x) have the form fx) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of
slava [35]

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

f(x) = A \cos(x+C).

A is called the amplitude of the given function.

We can read from the graph that, the function ranges between:

-4 and 4

This implies that:

|A| = 4

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

8 0
4 years ago
Steps to solve 3 (x -5) + 7 x = 65
Novay_Z [31]

Answer:

x = 8

Step-by-step explanation:

3(x-5)+6x = 3x-15+7x

3x-15+7x = 65

10x = 80

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8 0
3 years ago
Read 2 more answers
A rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet. What is the perimeter in mixed number?
Vadim26 [7]

Answer: 18 1/6 feet

Step-by-step explanation:

From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.

The perimeter would be calculated as:

= 2(length + width)

= 2( 5 1/3 + 3 3/4)

= 2( 5 4/12 + 3 9/12)

= 2( 8 13/12)

= 2 (9 1/12)

= 2 × 9 1/12

= 2 × 109/12

= 218/12

= 18 2/12

= 18 1/6 feet

5 0
3 years ago
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