So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.
And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°
Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°
Now solve it by applying
<h3><u>(2x - 5)(4x - 3)</u></h3>
The AC method, also known as splitting the middle, can be shown like this:
8x^2 - 26x + 15
<em><u>Check factors of 120.</u></em>
1 * 120
-1 * -120
2 * 60
-2 * -60
3 * 40
-3 * -40
5 * 24
-5 * -24
6 * 20
-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)
<em><u>Split the middle term.</u></em>
8x^2 - 6x - 20x + 15
<em><u>Group in terms of 2.</u></em>
(8x^2 - 6x) - (20x + 15)
<em><u>Factor each binomial.</u></em>
2x(4x - 3) - 5(4x - 3)
<em><u>Rearrange the terms.</u></em>
(2x - 5)(4x - 3)
Answer:
The dog drank 5/12 of the bowl
Step-by-step explanation:
Common denominator
3/4 = 9/12
1/3 = 4/12
9/12 - 4/12 = 5/12
a triangle needs to have 180 degrees in all.
65 + 65 = 130
180 - 130 = 50
x = 50 degrees
Answer:
{-1, 4}
Step-by-step explanation:
In the given f(x) = -1/2x^2 + 3/2x - 2
set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:
f(x) = -1/2x^2 + 3/2x - 2 = 0 => 1x^2 - 3x - 4 = 0
This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}. These are the zeros.