11. x² - 7x = 0
x(x) - x(7) = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
+ 7 + 7
x = 7
Solution Set: {0, 7}
12. 3x² - 4x = 20x + 27
+ 4x + 4x
3x² = 24x + 27
3x² - 24x - 27 = 0
x = -(-24) ± √((-24)² - 4(3)(-27))
2(3)
x = 24 ± √(576 + 324)
6
x = 24 ± √(900)
6
x = 24 ± 30
6
x = 4 ± 5
x = 4 + 5 or x = 4 - 5
x = 9 or x = -1
Solution Set: {9, -1}
Answer:
The answer is eight
Step-by-step explanation:
The answer is eight because 0.24 time 8 equals 1.92
The answer is d because when you go from positive to negative you add the positive number to get to zero and than add the number you are getting to make sense?
Answer:
160
Step-by-step explanation:
With the problem, it's best to put this into a fraction
8/20 of every student will be absent from school less than five days a year, which can then be simplified to 2/5.
There are multiple ways to go about this problem, but my preferred way is to then take 1/5th of 400, which can be done by taking 1*400/5 which equals 80. Since we are asking for 2/5's, just multiply that number by 2, which gives us 160 students.
Answer:
see the explanation
Step-by-step explanation:
we know that
The sum of the interior angles in any polygon is given by the formula
where
n is the number of sides
so
To find out the sum of the interior angles in given shape, substitute in the formula the number of sides of the figure (n) to obtain S
<u><em>Examples</em></u>
1) The figure is a quadrilateral
A quadrilateral has four sides
so
substitute in the formula
therefore
The sum of the interior angles in a quadrilateral is 360 degrees
2) The figure is a triangle
A triangle has three sides
so
substitute in the formula
therefore
The sum of the interior angles in a triangle is 180 degrees
