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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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To solve the problem:

<span>Let f = distance one way distance on level ground</span>

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6 0
2 years ago
A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?
yKpoI14uk [10]

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

brainly.com/question/26719838

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1 year ago
Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2
iren2701 [21]

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

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= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

3 0
3 years ago
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