So if you subtract the 0 out from the left side, the equation is now

. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like

. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
Given statement is "point where the perpendicular bisectors of the three sides of a triangle intersect".
Perpendicular is basically a vertical line that makes 90 degree angle with the base.
bisector means the line which divides side into two equal parts.
So perpendicular bisector in any triangle will be the line which is drawn on the side of the triangle and perpendicular to that side.
Now these perpendicular bisectors meet at some point.
That point is called circumcenter.
Hence final answer will be "circumcenter".
Answer:
1. 5/3 cm
2. 10 in
Step-by-step explanation:
1. The length of a rectangle is 4 cm more than 3 times its width.
Let the length be L and the width B
Then,
L = 4 + 3B
If the area of the rectangle is 15 cm2
Area = LB = 15
B(4 +3B) = 15
3B² + 4B - 15 = 0
3B² - 5B + 9B - 15 = 0
B(3B - 5) + 3(3B - 5) = 0
(3B - 5)(B + 3) = 0
3B - 5 = or B + 3 = 0
B = 5/3 or -3
since B cannot be negative, B = 5/3 cm
2. The ratio of length to width in a rectangle is 2 ∶ 3.
Let the length be L and the width B
Then,
L/B = 2/3
2B = 3L, B = (3/2)L
when the area is 150 in2.
Area = LB = 150
(3/2)L² = 150
L² = 150×2÷3
L² = 100
L = √100
L = ±10
since the length cannot be negative, L = 10 in
Answer:
y=-2x+1
Step-by-step explanation:
to find the slope use the formula (y2-y1)/(x2-x1)
-5-3= -8
3-(-1) = 4
-8/4 = -2