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Nana76 [90]
3 years ago
5

Simplify the product. Write the answer in standard form. (9 − 2t2)(9 + 2t2)

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

-4t^4+81

Step-by-step explanation:

(9-2t^2)(9+2t^2)

−4

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What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati
Anestetic [448]
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.
 
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is 
x²+6x+9=y-8+9
(x+3)²=y+1

6 0
3 years ago
If I have a 90 in math, and I have a final exam worth 20% of my grade, what’s the lowest I can get?
8_murik_8 [283]

Answer:

a 40, aka a failing grade ( do ur test :) )

Step-by-step explanation:

6 0
2 years ago
Find the missing side.<br> 6 is A^2 <br>10 is B^2<br> what is the missing side​
topjm [15]

Answer:

8

Step-by-step explanation:

This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.

In this problem, we see that 6 and x are the legs and 10 is the hypothenuse.    We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:

6^2 + x^2 = 10^2

which further simplifies to:

36 + x^2 = 100

x^2 = 64

and so x would equal 8 (or -8, but it is impossible to have a side length of -8).

Therefore, the missing side is 8.  

7 0
3 years ago
Read 2 more answers
Write an algebra expression to represent each scenario:<br><br> “the sum of 6 and y”
Lina20 [59]

Answer:

6+y

Step-by-step explanation:

simple:)

5 0
2 years ago
X=2x1+3000x40+80x5000
lidiya [134]
The answers is x=412,002
4 0
3 years ago
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