Which solution set is graphed on the number line? 4-3-210
2 answers:
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Answer:
5 + 8 + 11 + 10 = 34
Step-by-step explanation:
The lengths of the horizontal and vertical sides are easily determined. The slant side is seen to be the hypotenuse of a 3-4-5 triangle (times 2), so is 10 units long. The perimeter is the sum of the side lengths:
5 + 8 + 11 + 10 = 34
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You can always estimate the length of the hypotenuse of a right triangle as being between 1 and 1.5 times the length of the <em>longest</em> side. Here, the longest side of the right triangle whose hypotenuse is of interest is 8 units, so the hypotenuse will be between 8 and 12 units long. That means the perimeter of the blue trapezoid will be between 32 and 36, a guess of sufficient accuracy to allow you to choose the correct answer.
In a figure like this, you can also measure the hypotenuse on the grid. Using a compass, ruler, or a piece of paper with a couple of marks, you can rotate the slant length so that it corresponds to a vertical or horizontal grid line. Then the length of it is easily estimated to good accuracy. (See the second attachment.) As we said in the previous paragraph, even poor accuracy is sufficient to choose the correct answer.
Solution:
As we have to write an expression , which evaluates to true if the value of the integer variable x is divisible (with no remainder) by the integer variable y, y≠0.
so, when x is divided by y we should get remainder as 0.
Using Euclid division lemma
x= y* q + m, i.e when an integer x is divided by y gives quotient q and remainder m.
Here , m=0
So, x = q * y
So, the expression which describes the above relationship is ,
, where q is Quotient.
Answer:
50m/s
Step-by-step explanation:
We assum the direction the baseball is travelling to the bat is the positive direction at 20 m/s and is hit in the opposite at a faster speed. The change in velocity is the final velocity minus the initial velocity:
The change in velocity is 50m/s