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Radda [10]
4 years ago
15

The vertex of a parabola is at (8,-1)and its y-interpret is-17. Which function represents the parabola

Mathematics
1 answer:
Ilia_Sergeevich [38]4 years ago
4 0

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 1), thus

y = a(x - 8)² - 1

To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.

- 17 = a(0 - 8)² - 1

- 17 = 64a - 1 ( add 1 to both sides )

- 16 = 64a ( divide both sides by 64 )

a = \frac{-16}{64} = - \frac{1}{4}

y = - \frac{1}{4}(x - 8)² - 1 → D

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Can tell me if it's correct? If it's wrong, can you tell me the correct answer and how to solve it?
Sergio [31]

Answer:

C is a right triangle

Step-by-step explanation:

To determine if the triangle is right use Pythagoras' identity

A

9.4² = 88.36

6.4² + 7.1² = 91.37

88.36 ≠ 91.37 , thus not a right triangle

B

8.4² = 70.56

5.2² + 6.3² = 66.73

70.56 ≠ 66.73 , thus not a right triangle

C

9.7² = 94.09

6.5² + 7.2² = 94.09

Thus C is a right triangle

D

8.4² = 70.56

5.1² + 7.3² = 79.3

70.56 ≠ 79.3 , thus not a right triangle

5 0
3 years ago
Read 2 more answers
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AURORKA [14]
Well the answer is 13 and cannot be written in simplest form because 1/2 and 1/2 have the same denominator so you add them together and you get 2/2 which is a whole number then you add the other whole numbers but don’t forget the new whole number then add the 5 and you get 13 cm
4 0
3 years ago
Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble
liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0
4 years ago
Please Help!, Brainliest to whoever helps
Tanya [424]
B for sure!!!!!!!!!!!!!!!!!!!
6 0
3 years ago
You borrowed $85,000 at 12% ordinary interest for 30 days, Determine the
Lena [83]

Answer:

= 85000*12%*(30/360)=$850

Step-by-step explanation:

8 0
3 years ago
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