Answer:
EF = 8
Step-by-step explanation:
The following data were obtained from the question:
EF = 2x
FG = 8
EG = 4x
EF =?
To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:
EG = EF + FG
EF = 2x
FG = 8
EG = 4x
4x = 2x + 8
Collect like terms
4x – 2x = 8
2x = 8
Divide both side by 2
x = 8/2
x = 4
Therefore, the value of x is 4.
Finally, we shall determine the the value of EF as follow:
EF = 2x
x = 4
EF = 2x
EF = 2(4)
EF = 8
**** Check ****
EG = EF + FG
EF = 2x
EG = 4x
FG = 8
4x = 2x + 8
x = 4
4(4) = 2(4) + 8
16 = 8 + 8
16 = 16
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, and in this case:
-m/4=-1
-m=-4
m=4, so the slope of the perpendicular line is 4 so we have thus far:
y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"
3=4(-4)+b
3=-16+b
19=b, so our line is:
y=4x+19
Answer: Choice A
==========================================================
Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality
would have the boundary line
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
Answer:
The mean is 254.5
Step-by-step explanation:
Add up all the numbers then divide by how many numbers there are.