Answer:
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum
Step-by-step explanation:
Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;
- 1. Arcs are drawn to cross the given line twice on either side relative to the point
- 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line
Description:
1. One of the first steps is to place the compass on the point and from
point, draw arcs to intersect or cross the given line at two points.
2. The compass is placed at each of the intersection point in step 1 and
(opened a little wider when constructing from a point on the line) arcs are
drawn on one (the other side of the point off the line) side of the line with
the same opening (radius) of the compass to intersect each other.
3. From the point of intersection of the arcs in step 2, a line is drawn with a
straight edge passing through the given point.
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Answer: Ix+10I
Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.
y is -2 is the answer for the question
The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
<h3>What is the Total Surface Area of a Rectangular Box?</h3>
Total surface area (TSA) = 2(wl+hl+hw), where:
- l = length
- w = width
- h = height of the box.
The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box
l = 20 in.
w = 8 in.
h = 13 in.
Plug in the values into the formula for total surface area of a rectangular box:
TSA = 2(8×20 + 13×20 + 13×8)
TSA = 1,048 in.²
Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
Learn more about rectangular box on:
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