Answer:
80%
Step-by-step explanation:
The basic idea of this problem is to convert 
into a percentage. can be simplified to 
which is also 80%.
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
1. We assume, that the number 320 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 320 is 100%, so we can write it down as 320=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 320
320/x=100/45
<span>(320/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>320=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>320/2.22222222222=x </span>
<span>144=x </span>
x=144
<span>now we have: </span>
<span>45% of 320=144</span>
Answer:
M (0, 6)
Step-by-step explanation:
By midpoint formula,
M [(x1+x2)/2 , (y1+y2)/2]
M [-5+5/2 , 3+9/2]
M (0/2 , 12/2)
M (0, 6)
Answer:
1296
Step-by-step explanation:
6^2*6^2=6^4. So 36*36=1296
