Fist convert the equation to vertex form
y = 2(x^2 + 14x) - 8
y = 2 [(x + 7)^2 - 49] - 8
y = 2(x + 7)^2 - 106
So the vertex is at (-7,-106)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Circumference = C = 31.4 ft
We know that,
<h3>C = 2πr</h3>
Where, r is the radius
31.4 = 2(3.14)r
31.4 = 6.28(r)
Divide 6.28 to both sides
31.4/6.28 = r
5 ft. = r
<h3>r = 5 ft.</h3>
Now,
<h3><u>Finding area:</u></h3>
A = πr²
A = (3.14)(5)²
A = (3.14)(25)
<h3>
A = 78.5 ft²</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Ok so assuming the 0 means minus from typing problems
x^2-10x=-8
to completet the square
make sure the term in front of x^2 is 1
that is correct
then take 1/2 of the term in front of the x term and square it
-10/2=-5, (-5)^2=25
add that to both sides
x^2-10x+25=17
answer is the first equation
