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Furkat [3]
3 years ago
13

2m^2+2m-12=0 in vertex form

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

y = 2(m + 1/2)^ -25/2

Step-by-step explanation:

vertex form is:

y = 2m^2 + 2m - 12


y + 12 + ( )___ =( ) 2m^2 + 2m + ___


Because a is not one, you must divide the entire right side by the a value, which is 2. Then place the 2 in the parenthesis.


y + 12 + (2)__ = (2) m^2 + m + __


Take half of b, b being one.

Half of be is 1/2. Now square it to get 1/4. Place that value in the blanks.


y + 12 + (2)1/4 = (2) m^2 + m + 1/4


Now simplify the left side and factor the right side.


y+ 12 + 1/2 = 2(m + 1/2)^2


y + 25/2 = 2(m + 1/2)^2


Subtract 25/2 from both sides.


y = 2(m + 1/2)^ -25/2

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Answer:

if X is the angle degree like I think it is, then X = 56 degrees

Step-by-step explanation:

isosceles triangles will have 2 equal base angles.

90 degree angle - 28 = 62°

62 is now each base angle.

62 times 2 angles equals 124

the final angle, x, is 180 - 124 = 56°

8 0
1 year ago
If a graph of y=-4x +2 were changed to a graph of y=-4x+5, how would the y- intercept change?
Dmitry [639]

Answer:

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

The y-intercept was (0,2) then it becomes (0,5) in the new line.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.

Both of these equations given are in this form.

y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.

Since b=2 then the y-intercept is 2.

y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.

Since b=5 then the y-intercept is 5.

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

8 0
3 years ago
(i) 809, 708, 607, _____, _ class 4<br>__class 4​
schepotkina [342]

Answer:

809, 708, 607, 506, 405, 304, 203, 102, 1, -100

Step-by-step explanation:

809, 708, 607, _____, _______

First term = 809

Second term = 708

Third term = 607

Difference between first term and second term = 809 - 708

= 101

Difference between second term and third term = 708 - 607

= 101

Therefore, the common difference is 101

Fourth term = 607 - 101

= 506

Fifth term = 506 - 101

= 405

Sixth term = 405 - 101

= 304

Seventh term = 304 - 101

= 203

Eighth term = 203 - 101

= 102

Ninth term = 102 - 101

= 1

Tenth term = 1 - 101

= - 100

809, 708, 607, 506, 405, 304, 203, 102, 1, -100

4 0
2 years ago
Expand the binomial (2x+5)^5
Whitepunk [10]
That would simplify to 32x^5+400x^4+200x^3+5000x^2+6250x+3125
You would do that because you have to write it repeatedly as (2x+5)(2x+5) and so on.
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