The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
<h3>How to factor quadratic equation?</h3>
The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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1 4 8 2
im pretty sure thats right hope that helps
Answer: 15
Step-by-step explanation:
=(−5−4)2+(−4−8)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
d=(−5−4)2+(−4−8)2
=(−9)2+(−12)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
d=(−9)2+(−12)2
=81+144‾‾‾‾‾‾‾‾‾√
d=81+144
=2‾√25
d=225
=15
Answer:
angle y = 49°
Step-by-step explanation:
If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.
Answer:
3800
Step-by-step explanation:
Variables:
O - Original cost
N - New cost
c - change factor
Step 1:
Recognize that if something decreases by 19%, it is worth 19% <em>less</em>
This means that the new price, fractionally, is 100% - 19% = 81%
So we can use c as 0.81 (81/100)
Step 2:
Write an equation to represent what is happening
N = O * c
Step 3:
Sub in what we know
3078 = O * 0.81
Step 4:
Rearange and solve
O = 3078 / 0.81 = 3800
