Deena drove:
585 miles/9 hrs
....which means
her average rate was:
65miles/hour
whereas
Kristen drove:
605 miles/11 hrs
....meaning
her average rate was:
55 miles/hour
Therefore, Deena drove at a faster rate than Kristen
The correct factorization is (p + 16)(p + 2).
You can find this by looking for factors of the final number that add up to the middle number. Factors of the final number are listed below:
1 * 32
-1 * -32
2 * 16
-2 * -16
4 * 8
-4 * -8
Now you select the one that adds to 18, which would be the highlighted 2 and 16. Now we use these in parenthesis with a p + in the front of it.
(p + 2)(p + 16)
This will be the correct factored form.
<h3>
Answer: 384 square units</h3>
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Explanation:
Let A = (4,8) and B = (12,16)
Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.
The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.
So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.
There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.
Answer:
Take a fixed gap and draw 180 degree arc of equal size on each side.
The compass size should be the same for the whole process, be careful.
Make 90 degrees angle for both side and cross two arcs from each 90 degrees. The point thus obtained should be produced vertically towards the line AB. The point on the line segment is the line bisector.
a = bx + cx + d Subtract d from both sides
a - d = bx + cx Factor x from bx and cx
a - d = x (b + c) Divide both sides by (b + c)
= x Switch the sides to make it easier to read
x = <span>
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