Answer:
f(1) = 4
Step-by-step explanation:
f(x) = - 2x^2 + 2x + 4
f(1) = - 2(1)^2 + 2(1) + 4
f(1) = -2 + 2 + 4
f(1) = 4
Answer:
The support is 41 inches long.
Step-by-step explanation:
There's two ways we can do this: one with the diagonal formula and one without.
Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is
. Let's put in those numbers:

Therefore, the support is 41 inches long.
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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

Again, the support is 41 inches long.
=<span><span>14<span>w2</span></span>+<span>9<span>w hope this helps
</span></span></span>
From the options given, Dustin's hopscotch path was the longest in comparison to the other two friends.
<h3>How to find out who had the longest path?</h3>
- Make sure all distances use the same units.
- If necessary convert the distances.
- Compare the distances.
Based on this, let's make sure all distances are in feet.
- Jasmin: 1100 in or 91.66 feet
- Each inch is equivalent to 0.0833
- Dustin: 32 yards or 96 feet
- 1 yard = 3 feet
- 32 x 2 = 96 feet
Based on this, the person with the longest path is Dustin.
Learn more about distances in: brainly.com/question/15172156
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Answer:
-90/11
Step-by-step explanation:
convert each mixed number into a improper fraction
27/11 - 117/11
= -90/11