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Novosadov [1.4K]
2 years ago
15

Point C is located 8 inches from point A and 6 inches from point B. Points A and B are 2 inches apart.

Mathematics
1 answer:
marshall27 [118]2 years ago
4 0

Answer:

B

Step-by-step explanation:

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A ball is thrown into the air with an upward velocity of 80ft/s. Its height H in feet after T seconds id given by the function H
pashok25 [27]
1. The function H= -16T^2+80T+5 is a parabola of the form a x^{2} +bx+c, so to find the maximum height of the ball, we are going to find the y-coordinate of the vertex of the parabola. To find the y-coordinate of the vertex we are going to evaluate the function at the point \frac{-b}{2a}.
From our function we can infer that b=80 and a=-16, so the point \frac{-b}{2a} [/tex] will be \frac{-80}{-2(16)} = \frac{5}{2}. Lets evaluate the function at that point:
h=-16t^2+80t+5
h=-16( \frac{5}{2} )^2+80( \frac{5}{2} )+5
h=105

We can conclude that the ball reaches a maximum height of 105 feet.

2. Since we now know that the maximum height the ball reaches is 105 feet, we are going to replace h with 105 in our function, then we are going to solve for t to find how long the ball takes to reach its maximum height:
h=-16t^2+80t+5
105=-16t^{2}+80t+5
-16t^2+80t-100=0
-4(4t^{2}+20t-25)=0
4(2t-5)^2=0
2t-5=0
t= \frac{5}{2}
t=2.5

We can conclude that the ball reaches its maximum height in 2.5 seconds.

3. Just like before, we are going to replace h with 5 in our original function, then we are going to solve for t to find how long will take for the ball to be caught 5 feet off the ground:
h=-16t^2+80t+5
5=-16t^2+80t+5
-16t^{2}+80t=0
-16t(t-5)=0
t-5=0
t=5

We can conclude that it takes 5 seconds for the ball to be caught 5 feet off the ground.
5 0
3 years ago
Which of the following is the quadratic parent function?
Paul [167]

Answer:

A. F(x)=x^2

Step-by-step explanation:

Quadratic function is the function which has degree two

Degree is the highest power of a polynomial

In option B we have |x| in which degree is one hence, discarded

In option C we have  in which degree is three hence, discarded

In option D we have x which is a linear function being of degree one. Hence, discarded.

Read more on Brainly.com - brainly.com/question/6393373#readmore

3 0
3 years ago
Domain and range<br> What’s the domain and range of {(-4,2), (2,-4), (1,2), (-1,-7)}
dsp73
Domain (-4,2,1,-1)
Range(2,-4,-7)
4 0
2 years ago
Choose all the polynomials that are in standard form?
Allisa [31]
<h3>2 Answers: Choice B and Choice D</h3>

==========================================================

Explanation:

Standard form will always have the largest exponents listed first on the left side. Then as you move to the right, the exponents will decrease. Choice B shows this with the exponents counting down (3,2). Choice D is a similar story with the exponents counting down (9,2,1,0). Think of -6x as -6x^1, and also think of the 10 as 10x^0.

Something like choice A is a non-answer because the term with the largest exponent 3 is buried in the middle, and not at the left side. The exponents are not in decreasing order. Choice C can be ruled out for similar reasons.

Side note: the largest exponent is the degree of the polynomial. This only applies to single variable polynomials.

6 0
3 years ago
Read 2 more answers
6. All angles in the figure below are right angles. What is the area of the figure? (1 point)
lilavasa [31]

Answer:

Option (4)

Step-by-step explanation:

Area of the figure given in the picture = Area of large rectangle - Area of rectangle A

Area of rectangle A = Length × Width

                                 = [9 - (2 + 4)] × 3

                                 = 3 × 3

                                 = 9

Area of the large rectangle = Length × Width

                                             = 9 × 5

                                             = 45

Therefore, area of the given figure = 45 - 9

                                                          = 36

Option (4) will be the correct option.

5 0
3 years ago
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