Step-by-step explanation:
so, it is a quadratic equation :
-3x² + 30x - 90 = 0
the first thing we can do is divide by 3
-x² + 10x - 30 = 0
remember, the formula to solve and find the 2 solutions is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = -1
b = 10
c = -30
x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =
= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =
= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =
= 5 ± -sqrt(5)i
x1 = 5 - sqrt(5)i
x2 = 5 + sqrt(5)i
remember, i = sqrt(-1), a complex number.
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
<em>proprtional</em><em>-</em><em> </em><em>equal</em><em> </em>
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
<em>16</em><em>×</em><em>12</em><em>=</em><em> </em><em>192</em><em> </em>
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
<em>192</em><em>÷</em><em>21</em><em>=</em><em>9.14</em>
Answer:
The total number of votes= 9999
Step-by-step explanation:
The ratio of vote specifically the ratio of yes to no vote in a city vote is 6 to 5.
There is a total of 4545 no votes.
Yes/no = 6/5
Yes= no(6/5)
Yes= 4545(6/5)
Yes= 5454
The total number of yes votes are 5454.
The total number of votes= yes votes+ no votes
The total number of votes= 5454+4545
The total number of votes= 9999
Answer:
1/2
Step-by-step explanation:
Let's pick two points and find the slope inbetween them.
I'll pick (2,1) and (0,0).
Remember that slope = change in y / change in x.
slope = 1-0 / 2-0 = 1/2
