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OLEGan [10]
3 years ago
15

What's the equation of the parabola that has its vertex at (8,–14) and a point (5,13) that lies on the curve?

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

The expression with the described characteristics is: y = 3*(x - 8)^2 - 14. Therefore the correct answer is letter D.

Step-by-step explanation:

I believe there is a typo in the vertex's coordinate, I think it should be (8,14). I came to this conclusion by observing the possible answers, if the given vertex is correct then there are no correct answers among them. I made my best effort to explain the question in a way that can be generalized for different vertex's coordinates.

The equations are given in their vertex form. This form has the following structure:

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

Where (h,k) are the vertex's coordinates, in our case (8, 14). This knowledge makes easier to determine a equation with the correct vertex as shown below:

y = a*(x - 8)^2 - 14

Where the value of "a" must be determined by applying the given point.

13 = a*(5 - 8)^2 - 14\\13 = a*(3)^2 - 14\\a*9 = 27\\a = \frac{27}{9}\\a = 3

The expression with the described characteristics is: y = 3*(x - 8)^2 - 14. Therefore the correct answer is letter D.

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An isosceles triangle has an angle that measures 90°. Which other angles could be in that isosceles triangle? Choose all that ap
Inga [223]

Answer:

Step-by-step explanation:

If one angle = 90 degrees, then the other 2 added together must also = 90.

There is only 1 answer to this, since the triangle is isosceles..

x + x = 90        Combine

2x = 90            Divide by 2

x = 90/2          

x = 45

So both acute angles = 45 degrees.  

8 0
2 years ago
Make sure all solutions are in lowest terms. 5/6 • 1/3
stiks02 [169]
1/3=2/6
5/6x2/6= 10/36
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3 0
3 years ago
On a map with a scale of 1:24,000, a measured distance of one inch represents an actual distance of ___ feet.
dem82 [27]
The answer:  " 2,000 (feet) " .
___________________________________________
 1 measured in. = 24,000 actual inches.

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Note:  12 in.  = 1 ft. (exact conversion) ;

24,000 in. * (1 ft. / 12 in) = (24,000 / 12) ft. = 2,000 ft.
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5 0
3 years ago
Please Help Me I Need Finish This Tonight
vladimir2022 [97]
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5 0
3 years ago
a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
Tems11 [23]
I'm not going to do the entire question, but I'll do the first part.

For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:

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where r represents the # refrigerators, and p represents the # pianos


Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
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