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erastova [34]
2 years ago
11

The steps to derive the quadratic formula are shown below:

Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer: x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

\left(x+\frac{b}{2a} \right)^2

So, taking the square root of both sides,

x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}

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polet [3.4K]

Answer:

i think it might be number 1

Step-by-step explanation:

3 0
3 years ago
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In the given diagram if AB || CD, ∠ABO = 118° , ∠BOD = 152° , then find the value of ∠ODC.
GaryK [48]

Answer:

90°

Step-by-step explanation:

Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.

Therefore,

∠ABO + ∠BOP = 180° (by interior angle Postulate)

118° + ∠BOP = 180°

∠BOP = 180° - 118°

∠BOP = 62°.... (1)

Since, ∠BOP + ∠POD = ∠BOD

Therefore, 62° + ∠POD = 152°

∠POD = 152° - 62°

∠POD = 90°.....(2)

∠POD + ∠ODC = 180° (by interior angle Postulate)

90° + ∠ODC = 180°

∠ODC = 180° - 90°

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3 years ago
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 an hour. Write an equation in slope intercep
Nezavi [6.7K]

Answer:

3 hours

Step-by-step explanation:

y = mx + b

for each hour you are charged 15 dollars. for every 1 hour, you are charged $15.

y = 15x

you must also add the base fee of 35

y = 15x + 35

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Which graph represents the linear function below? y-4= (4/3)(x-2)
svp [43]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y-4=(4/3)(x-2)

This is the equation of a line into point slope form

The point is (2.4)

The slope is m=4/3

To plot the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

For x=0

y-4=(4/3)(0-2)

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-4=(4/3)x-(8/3)

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-12=4x-8

4x=8-12

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we have the points

(2,4), (0,4/3),(-1,0)

Plot the line

Note With only two points it was necessary to draw the line. The third point was calculated for didactic purposes.

see the attached figure

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Step-by-step explanation:

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