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Artyom0805 [142]
3 years ago
12

Solve each system of equations by graphing y=-1/2x+5 and y=3x-2

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0
Just make the equations equal to each other.  -0.5x+5=3x-2.  Solve for x and find that it is 2, via simple algebra.  Since you know x is 2, sub it in in either equation to find y.  y should be 4.  So the point that fits both equation is (2,4).  This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
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The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter
masha68 [24]

Answer:

<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

P=L+S+M

Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}

Using a calculator, the perimeter is 20 units centimeters.

7 0
3 years ago
It costs 3 tickets to play a game at the fair. If you spent 21tickets on the game, which equation could you use to solve for the
solniwko [45]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The correct option would be D. 3g = 21

As it is 3 tickets per game, the total number of tickets would be 3 multiplied by the number of games

This equation could then be rearranged to find the number of games.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
Read 2 more answers
The graph below shows the height an elevator travels, y, in x seconds:
ad-work [718]

9514 1404 393

Answer:

  25 (ft/s)

Step-by-step explanation:

The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.

The rate of change is ...

  rise/run = (25 ft)/(1 second) = 25 ft/second

Usually, we're just interested in the numerical value: 25.

_____

<em>Additional comment</em>

The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the <em>slope</em> of the line on the graph, not its <em>value</em>.

6 0
3 years ago
How do I divide whole numbers by fraction? (Ex: 12 ÷ 1⁄2)
Readme [11.4K]
That would be 6 just put the the whole number over one and keep flip change
7 0
3 years ago
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Cal had $15. He spent $3 on pens and $8 on a book.
nikklg [1K]
He spent $11 dollars minus tax
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3 years ago
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