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Vladimir [108]
4 years ago
13

Identity true statements about quadratic function y = ax^{2} +bx+c, where a =/= 0.

Mathematics
1 answer:
vesna_86 [32]4 years ago
3 0
The true statements are (1) and (2)
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A rocket is launched from a tower the height of the rocket why in feet is related to the time after launch X in seconds by the g
lesantik [10]

Answer:

<h3>444m</h3>

Step-by-step explanation:

Given the height of the rocket modelled by the equation;

y=-16x^2+152x+83

The rocket reaches its maximum height when the velocity of the rocket is zero.

Since velocity is the change in displacement with respect to time;

velocity v = dy/dx

dy/dx = -32x + 152

at dy/dx = 0

-32x + 152 = 0

-32x = -152

x = -152/-32

x = 4.75s

To get maximum height reached by the ball, we will substitute x = 4.75 into the modeled function as shown;

y(4.75) = -16(4.75)^2+152(4.75)+83

y(4.75) = -361+722+83

y(4.75) = 444m

Hence the maximum height reached by the ball is 444m

8 0
3 years ago
. Marcy has a 70% average in her class going into the final exam. She says "I need to get a 100% on this final so I can raise my
Simora [160]

Answer:

Yes

Step-by-step explanation:

4 0
3 years ago
Given: ABCD is a parellelogram.<br><br> Prove: AB=CD and BC=DA
ozzi

Answer:


Step-by-step explanation:

We have given a parallelogram ABCD.

For a parallelogram,

Opposite pair of sides are parallel to each other.

i.e AD is parallel to BC and AB is parallel to CD.

From the attached figure,

∡1 = ∡4  and  ∡2 = ∡3    {If two parallel lines cut by a transversal line then alternate interior angles are congruent }

Next, AC ≅ AC  {Reflexive identity}

hence, ΔABC ≅ ΔCDA   , By Angle-Side-Angle(ASA) congruent property of triangle.

Therefore, AB = CD  and AD = BC   {Proved}


6 0
3 years ago
Read 2 more answers
34c is otside in the sun and 12c is inside the frezzer so what is the differnce
-BARSIC- [3]
34-12=22
 the answer is:
If the outside is 34c and the inside is 12c then the answer is 22c, as you are taking off 12 from 34.

8 0
3 years ago
What algebraic expression must be added to the sum of
user100 [1]

Answer:

We need to add the expression:  4x^2-16

Step-by-step explanation:

As the first step, add the first two polynomials listed in order to find what their sum is. Do such by combining like terms:

3x^2+4x+8\,+ (2x^2-6x+3) =5x^2-2x+11

now, you need to find another polynomial (let's call it P(x)) such that added to the one we just found above, will render 9x^2-2x-5 as a result.

Putting this phrase in mathematical terms, we write:

5x^2-2x+11\,+ P(x) = 9x^2-2x-5

Now we solve for this unknown P(x) in this equation, by subtracting each of the terms that are accompanying it on the left side of the equation. We do one at a time for clarity:

5x^2-2x+11\,+ P(x) = 9x^2-2x-5\\-2x+11+P(x)=9x^2-5x^2-2x-5\\-2x+11+P(x)=4x^2-2x-5\\11+P(x)=4x^2-2x+2x-5\\11+P(x)=4x^2-5\\P(x)=4x^2-5-11\\P(x)=4x^2-16

Therefore, the expression we need to add is: 4x^2-16

8 0
4 years ago
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