Answer:
The dimensions are 6 by 5 feet.
Length = 6 feet.
Width = 5 feet.
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 2W - 4 ........equation 1
22 = 2L + 2W .......equation 2
Substituting the value of "L" into equation 2, we have;
22 = 2(2W - 4) + 2W
22 = 4W - 8 + 2W
22 + 8 = 6W
30 = 6W
W = 30/6
Width, W = 5 feet.
To find the length, L
Substituting the value of "W" into equation 1, we have;
L = 2W - 4
L = 2(5) - 4
L = 10-4
Length, L =6 feet
Therefore, the dimensions of the garden are 6 by 5 feet.
First write out your original equation.

Then use the law of exponents(power of a power) to simplify.

(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.
Answer:
I got -64
Step-by-step explanation:
The begging multiplication is 0 and subtract -7 is becomes just -7 then add 3 and it is -4 to the third power is -64
30 treadmills : 36 ellipticals
this could be written in a few ways, but i am going to write it as a fraction. since treadmills come first, you put 30/36.
now that you have your fraction you have to find the GCF (greatest common factor) of the two numbers. the GCF is 6, so you have to divide 30 treadmills by 6, and 36 ellipticals by 6.
30/6=5
36/6=6
5/6 or 5:6 is the simplified ratio of treadmills to ellipticals
comment for any questions!!
9514 1404 393
Answer:
Step-by-step explanation:
The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.
That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.
If k is subtracted, instead of added, then the point will be moved downward.
The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.
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<em>Comment on the question</em>
The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.
If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.