<span>the answer youre looking for is 56.55 inches
</span>
Answer:
122/25
Step-by-step explanation:
488/100 percent means out of 100
find the lowest common multiple for 488 and 100 which is 4
divide numerator(488) and denominator(100) by 4
488÷4=122
100÷4=25
Answer:
D)16
Step-by-step explanation
we are given a <u>3</u><u>0</u><u>-</u><u>6</u><u>0</u><u>-</u><u>9</u><u>0</u> triangle and the longer side of the triangle
remember the properties of <u>3</u><u>0</u><u>-</u><u>6</u><u>0</u><u>-</u><u>9</u><u>0</u> triangle
- the hypotenuse is twice as much as the shorter leg
- the longer leg is the square root of 3 times shorter leg
as we are given the <u>longer</u><u> </u><u>leg </u> we'll use the second property
let the shorter leg be x
so our equation is
divide both sides by √3:
hence,
the length of the shorter leg is 16
Answer:
f(–6) = 10
Step-by-step explanation:
Each ordered pair represents the pair (x, f(x)).
The domain (set of possible x-values) is the list of first numbers in the pairs:
{8, 0, 1, 2, -6}
Any number not on this list will not appear as x in f(x). This eliminates f(-3) and f(3).
The pair for f(8) is (8, -3), so f(8) = -3, not 0.
The pair for f(-6) is (-6, 10), so f(-6) = 10, as shown in the last answer choice.
Answer:
f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
Step-by-step explanation:
The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.
f(t) = 4t2 − 8t + 8
f(t) = 4(t2 - 2t) + 8 The middle term is -2t
f(t) = 4(t2 - 2t + 1) + 8 - 4 -2t/2 = -1; -1^2 = 1
f(t) = 4(t-1)^2 + 4 Add 1 and subtract 4 since 4*1 = 4.
The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.
- f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
- f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the ground
- f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
- f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground