(20 points) what is 4x^2 = 32 ?
1 answer:
Answer: x=+2 check over 2
Step-by-step explanation:
1. Move terms to the left side
42=32
4x2-32=0
2. Common Factor
4x2-32=0
4(x2-8)=0
3. Divide both sides by the same factor
4(x2-8)=0
x2-8=0
4. Use the quadratic formula
x2-8=0
a=1
b=0
C=-8
5. Simplify
. Evaluate the exponent
. Multiply the numbers
.Add zero
. Multiply the numbers
6. Seperate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
7. Solve
Rearrange and isolate the variable to find each solution
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Answer: 16.16
Step-by-step explanation:
xy in this situation, will be the distance between the two points.
(-8,2) (7,-4) Find the distance between the points
To ind the distance, find the difference in the x and y values,square them and add them to find the obtained number square root.
2-(-4) = 6
-8 - 7 = -15
6^2 + (-15)^2 = d^2 where d is the distance
36 + 225 = d^2
261 = d^2
d=
d= 16.1554 rounded to the nearest hundredth is 16.16