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Kipish [7]
3 years ago
9

Joseph has started completing the square on the equation 3x^2-7x+12=0. He has worked to the point where he has the expression x^

2 - 7/4 x =-4. Use complete sentences to describe joesphs steps up to this point and whetger or not his work is accurate
Mathematics
1 answer:
Dima020 [189]3 years ago
4 0
Starting with <span>3x^2-7x+12=0, we divide all four terms by 3, resulting in the following factored form:
</span><span>
3(</span><span>x^2-[7/3]x+4)=0.
</span><span>
Since 3 cannot equal 0, we can focus on the following:

x^2 - 7/4 x =-4

This completes the assignment (describe Joe's steps up to this point).



If you wish to go further:

Next, take HALF of the coefficient of x and square your result:

(-7/[4][2])^2 = 49/64

Add this to both sides of </span>x^2 - 7/4 x =-4:    <span>x^2 - 7/4x + 49/64 =-4+49/64

Rewrite the left side as (x-7/8)^2 and the right side as 49/64 - 256/64

Simplify the right side by combining these terms:  -207/64

Then x-7/8 = plus or minus (1/8)sqrt(-207)

Next, x = 7/8 plus or minus (1/8)*i*</span>√207, or

          7 plus or minus i*√207
 x = ----------------------------------
                         8
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3 years ago
What would be the first step to solving the equation? K+2=5
MrRissso [65]

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subtract 2 from both sides

Step-by-step explanation:

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6 0
3 years ago
City A has an elevation of 3447 feet above sea level while city B has an elevation of 86 feet below sea level. How much higher i
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3 years ago
Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)
insens350 [35]

The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

5y = -9(x+5)

5y = -9x - 45

9x + 5y = -45

Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero.  I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again


5 0
3 years ago
Read 2 more answers
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