The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
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→ {among the two graphs provided as answer choices.}.
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<u>Note</u>:
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The line drawn on the graph shown on the "first graph" — (that is, the graph shown to the far left, among the two graphs provided as answer choices) — reflect the linear equation given:
" y = 6x " ;
and the line shown on the "first graph shown to the left" consists of the coordinates reflected on the table given:
" (0, 0) , (1, 6), (2, 12), (3, 18) " .
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Note that the "second graph, to the far right, is incorrect; the line provided in the "second graph" shows that:
when "x = 4" , "y = 20" .
This is incorrect; since:
Given the equation:
" y = 6x " ;
→ y = 6(4) ;
→ y = 24 ; NOT "20" ; so "Graph 2" is incorrect.
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The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
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Let x be the unknown angle.
Make an equation using the formula.
<span>"measure of one acute angle is 3 times" Since we know that x is the one acute angle, we can multiply that by 3 to get 3x.
"</span><span>the sum of" when ever you see the word 'sum' it means that there will be an addition process involved and in this case it also means that 3x will equal to the rest of the equation. (3x=)
</span>
<span>"measure of the other acute angle and 8" We already know that the other angle is x . Since there is no other indicator of the 8 being subtracted, multiplied, and divided and that we know this is an addition problem, we can conclude that 8 will be added to the other angle. (x+8)
</span>
So, now we have the equation and all we have to do is simplify it.
3x= x+8
-x -x *Move constants and variables to opposite sides*
------------
2x=8
--- --- *Divide by 2 to isolate the variable*
2 2
x=4
So, I'm assuming you want to know the measure of both angles. All you have to do is plug in the x in the 3x and x+8 depending on which angle you want.
3x
3(4)=12
The measure of the first angle is 12.
x+8
4+8= 12
The measure of the second angle is also 12.
Answer:
x = -4
Step-by-step explanation:
You kind of didn't capture the directions in your image, but it looks like maybe they want you to write the equation of the line.
So this is what you need to know: the equation of a vertical (up and down) line is
x = anumber
For future reference on the next question, the equation of a horizontal (flat, left and right) line is
y = anumber
For this question, though, it's vertical.
so x = -4
You can check by picking as many points as you like and find that they ALL have -4 as the x value. Also, you will find the slope formula gives you an answer that is undefined. That's why you can't write an equation using y=mx+b. Hope this helps! I can edit if the question is something wildly different for real.
The number is 42.
Let xy be the number. x is the tens digit, y is the units digit. The ratio of the units digit to the tens digit, y/x, is 1/2. This gives us the proportion
y/x = 1/2
The tens digit is 2 more than the units digit; x = y+2; substituting in our proportion we have
y/(y+2) = 1/2
Cross multiply:
y*2 = (y+2)*1
2y = y+2
Subtract y from each side:
2y - y = y+2-y
y = 2
x = y+2
x = 2+2
x =4
xy = 42
