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UkoKoshka [18]
4 years ago
11

What number would you have to add to both sides to complete the square? X^2-16x=-8

Mathematics
2 answers:
harina [27]4 years ago
8 0
This step is needed to make the left side of the equation a perfect square.  This is done by halving the linear coefficient, squaring that value, and then adding it to both sides of the equation.  In this case you would add:

(-16/2)^2=(-8)^2=64

So you would add 64 to both sides...

x^2-16x=-8

x^2-16x+64=56  now the left sides is a perfect square...

(x-8)^2=56
Oliga [24]4 years ago
4 0
The question is about the number we need to add both sides. It is 64

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Farmer x plowed 168 acres of land. This was 21% of his farm. How many acres in his farm
Bond [772]
X= total acres on farm

x * 21%= 168
move decimal 2 places to the left to go from percent to decimal form
x * 0.21= 168
divide both sides by 0.21
x= 800 acres

ANSWER: There are a total of 800 acres on the farm

Hope this helps! :)
5 0
3 years ago
What is the slope of the straight line that goes<br> through (5, 4) and (9, 2) ?
leva [86]

Answer:

- \frac {1}{2}

Step-by-step explanation:

Slope of the line

=  \frac{4 - 2}{5 - 9}  \\  \\  =  \frac{2}{ - 4}  \\  \\  =  -  \frac{1}{2}

3 0
3 years ago
Consider the following equation
sp2606 [1]

Answer:

The negative solution is between -3 and -2

The positive solution is between 11 and 13

Step-by-step explanation:

we have

0=x^{2} -10x-27

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} -10x-27=0  

so

a=1\\b=-10\\c=-27

substitute in the formula

x=\frac{10(+/-)\sqrt{-10^{2}-4(1)(-27)}} {2(1)}

x=\frac{10(+/-)\sqrt{208}} {2}

x=\frac{10(+)\sqrt{208}} {2}=12.21

x=\frac{10(-)\sqrt{208}} {2}=-2.21

therefore

The negative solution is between -3 and -2

The positive solution is between 11 and 13

5 0
4 years ago
Read 2 more answers
Which one is it, I need help
Y_Kistochka [10]

Answer:

Their y-intercepts are equal

Step-by-step explanation:

The y-intercept is the y-value where the function crosses the y-axis. In this problem, functions are presented in 2 ways: algebraically and in a table.

1) Fortunately, the algebraic equation is written in slope-intercept form; this means that intercept is easy to find. The slope-intercept form is y=mx+b, where b is the y-intercept. In function 1, the b value is 10.

2) Another way to describe the y-intercept is the y-value when x=0. So, the y-intercept on a table is wherever the x-value is 0. In this case, the first row represents when x=0. The table says that when x=0, y=10. This means that the y-intercept for function 2 is 10.

Since the y-intercept for both of the functions is 10, it can be said that the 2 functions have equivalent y-intercepts.

7 0
2 years ago
The formula for the surface area of a rectangular prism with a square base is SA = 2s2 + 4sh. What is the surface area of this r
mihalych1998 [28]
SA = 2s^2 + 4sh
       = 2(3^2) + 4(3)(6) 
       = (18) + (72)
SA = 90

hope this helps :)
8 0
4 years ago
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