Y=-2x+2 and y=x^2-3x.
If there are solutions the x and y values are equal so we can say y=y:
x^2-3x=-2x+2 add 2x to both sides
x^2-x=2 subtract 2 from both sides
x^2-x-2=0 now factor...
x^2+x-2x-2=0
x(x+1)-2(x+1)=0
(x-2)(x+1)=0
So there are two solutions, when x=-1 and 2
Using y=-2x+2 we can find the corresponding y values for the solutions...
y(-1)=-2(-1)+2=2+2=4, y(2)=-2(2)+2=-4+2=-2 so the two solutions are the points:
(-1,4) and (2,-2)
Answer:
40
Step-by-step explanation:
52= 1/2(64 + x)
52 = 32 + 0.5x
52-32= 32-32 + .5x
20=.5x
Divide both sides by .5x
X = 40.
Answer:
6.32
Step-by-step explanation:
To find the side length on a right angled triangle we follow The Pythagorean Theorem:
c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)
so..
Square
Rectangle
because right angles means 90 degrees and the others have acute angles and obtuse angles in them.
1) Diagonals of a rectangle bisect each other, so AW=13.
2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.
3) Diagonals of a rectangle are congruent, so BD=26.
4) Opposite sides of a rectangle are congruent, so AD=10.
5) Using the Pythagorean theorem, BA=24.
