Answer:
4x²√4√6√x⁶√x
Step-by-step explanation:
4x²√(24x⁷)
The above expression can be simplified as follow:
4x²√(24x⁷)
Recall
√(MN) = √M × √N = √M√N
Thus,
4x²√(24x⁷) = 4x²√24√x⁷
But:
√24 = √(4×6) = √4√6
√x⁷ = √x⁶√x
Thus,
4x²√24√x⁷ = 4x²√4√6√x⁶√x
Therefore,
4x²√(24x⁷) = 4x²√4√6√x⁶√x
Answer:
C.
15 votes
Step-by-step explanation:
B= votes Billy got
K = votes Keeton got
B = 3K
B+K =20
Substitute the first equation into the second equation
3K + K =20
Combine like terms
4K =20
Divide both sides by 4
4K/4 = 20/4
K =5
Keeton got 5 votes
B = 3*K
B = 3*5
B = 15 votes
Billy got 15 votes
Answer is 13°F
Step-by-step explanation:
Answer:
1) 128°
2) 126°
3) 108°
<h2>
Question one:</h2>
The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
<h2>
Question two:</h2><h2>
</h2>
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
<h2>Question three</h2>
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.