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fomenos
3 years ago
5

Is this a function? (True or False)

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

Yes this is a function

(True)

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If a parabola had a y-intercept of (0,5) and an axis of symmetry at x = 4, what other point must be on the graph? (hint: draw)
Serga [27]

Answer:

(8, 5)

Step-by-step explanation:

Let's take a look at the y-intercept, (0, 5).  If the axis of symmetry is x = 4, then the distance from (0, 5) is 4 units.  If we reflect this point (0, 5) about the axis of symmetry x = 4, the resulting point is (8, 5).  In other words, the distance from the y-intercept to the axis of symmetry is 4 units, and so the distance from the y-intercept must be 4 units plus 4 units, or 8 units.

The only answer choice that matches this is the second one:  (8, 5).

3 0
3 years ago
Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on t
motikmotik

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: a^{2} +b^{2}  = c^{2}  .... which a and b are the two sides while x is the diagonal.

5^{2} +12^{2} = x^{2}

25 + 144 = x^{2}

169 = x^{2} ... now we square root both sides

13 = x

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

6 0
3 years ago
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