2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10
x = -2 + sqrt 10
x = -2 - sqrt 10
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Solutions
Annie puts $10 into a vacation jar each week and we need to find out <span>how much will she have saved by the end of the year. To solve the problem first we have to find out how many days there are in a year and convert them into weeks.
Days in a year = 365
To find weeks divide by 7 since a week consists of 7 days.
365 </span>÷ 7 = 52
<span>
1 year has 52 weeks
our next step is to multiply 52 by 10.
52 x 10 = 520
By the end of the year she would have saved 520 dollars. </span><span />
Answer:
• 72 ft²
Step-by-step explanation:
The bottom side length of the triangle is the difference between the top base length and the bottom base length:
13 ft - 5 ft = 8 ft
The vertical side length of the triangle is the same, because the triangle is an isosceles right triangle.
Since we know the base lengths and height of the trapezoid, we can use the usual formula for the area:
A = (1/2)(b1 +b2)h
= (1/2)(5 ft + 13 ft)(8 ft) = 72 ft²
Step-by-step explanation:
use the negative number -$65 to represent the change in the value of Leon's card
use absolute value to say that his balance will be $65 less
