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zloy xaker [14]
3 years ago
10

Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0

Answer:

Step-by-step explanation:

The problem solver "completed the square."  He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.

s344n2d4d5 [400]3 years ago
7 0

Answer:

Completing the Square

Step-by-step explanation:

A.p.e.x ;)

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The probability of choosing a left handed student is 3/31.

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3 years ago
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A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of t
Mazyrski [523]

Answer:

Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long

cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,

OD= 24 cm.

In right angled triangle. ODB

OB^2 = OD^2+ DB^2

r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2

r^2 = 576+ 49=625

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Slope of -3 and y intercept 7 in slope-intercept form.
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Y = mx + b, m = slope and b = y-intercept

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3 years ago
If ef bisects aed, aef=4x+3 and fed=7x-33 find m
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Answer:

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Step-by-step explanation:

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What is the range of possible sizes for side x
Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

3 0
3 years ago
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