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TEA [102]
3 years ago
15

Please answer all please​

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

Step-by-step explanation:

The first parabola has vertex (-1, 0) and y-intercept (0, 1).

We plug these values into the given vertex form equation of a parabola:

y - k = a(x - h)^2 becomes

y - 0 = a(x + 1)^2

Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:

1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is

y = (x + 1)^2

Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:

vertex:  (1, 4)

x-intercepts:  (-1, 0) and (3, 0)

Subbing these values into y - k = a(x - h)^2, we obtain:

                                            0 - 4 = a(3 - 1)^2, or

                                                -4 = a(2)².  This yields a = -1.

Then the desired equation of the parabola is

y - 4 = -(x - 1)^2

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Lots took one hour to drive from his apartment to philips arena and back. the return drive took 8 minutes less than the trip to
noname [10]

The equation would use to determine how long he drove each way is 2x - 8 = 60.

<h3>What is the equation?</h3>

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.

Since the return trip took 8 minutes less, the complete equation must be written in minutes.

Here x - 8 represents the time it took to return to Philips Arena.

The total travel time, including both directions, was 60 minutes;

thus, add x and x - 8 and set them both equal to 60.

So 2x - 8 = 60

Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.

Learn more about the equation here:

brainly.com/question/10413253

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6 0
2 years ago
How do I answer this question letter a
FinnZ [79.3K]
The answer to letter A is (x-y)² because if x=5 and y= -3 the problem would be (5-(-3))² and when you have -- that means you add. ik weird right. So basically that would be 8² which equals 64. Rather then the other one which was (x+y)² because again that would be (5+(-3))² but different because of the addition sign. so, that's asking what 5-3 is which is 2² which equals 4. Making (x-y)² bigger. I hope this helped
8 0
3 years ago
What is 34 &amp; 3/4 inches divided by 2 equal
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Answer:

17 and 3/8 inches

Step-by-step explanation:

..............................

(34+3/8)/2=17+3/16

plz....

mark it as a brilliant answer

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