Answer:
x = 78
Step-by-step explanation:
We can find angle y
D + B + y = 180 since the sum of the angles of a triangle are 180
31+47+ y =180
78+y = 180
y = 180 - 78
y = 102
x+y = 180 since they form a straight line
x + 102 = 180
x = 180-102
x = 78
<u>Answer:</u>
Blank 1: Parallel
Blank 2: Zero
Blank 3: Perpendicular
Blank4: Maximum
<u>Step-by-step explanation:</u>
If you really ready it out loud with these words in the blanks as I assigned them, it sounds completely right.
<u>Further Explanation:</u>
Blank 1: If the sentence if talking about the angle being of 0 degrees, it means that the line on a graph would be completely straight across;
Blank 2: Since it's a straight line across, it would have little to no work to do in order to force anything.
Blank 3: With this one being a 90 degree angle, and not being a straight line it would only be natural that this answer would be perpendicular.
Blank 4: It would have a lot of work to do since the said line is pushing in two separate directions, as you can see from the picture provided in the question.
Hope this helped!
If it's incorrect I apologize.
Answer:
The positive difference between the a values is 0.5
Step-by-step explanation:
we know that
Both parabolas cross the x axis at (-4,0) and (6,0)
so
The general equation is

<em>Find the value of a in the first parabola</em>
The y-intercept is (0,-12)
so
For 
substitute




<em>Find the value of a in the second parabola</em>
The y-intercept is (0,-24)
so
For 
substitute




<em>Find the positive difference between the a values for the two functions</em>
so

Answer:
x= 7, y= -7 or (7, -7)
Step-by-step explanation:
3x-y=28
3x+y=14
because the y is opposite of each other in both equations you can cancel them out
3x=28
3x=14
next you add 3x to 3x, then 28 to 14 and get...
6x=42
next divide both sides by 6 and you get your answer for x...
x=7
now you must solve for y and you do this by substituting what you found for x in one equation it doesn't matter which because you'll get the same answer but you can check for both to make sure...
3(7)+y=14
21+y=14
y=-21+14
y=-7