Answer:
See below.
Step-by-step explanation:
a.
O is the origin, so its abscissa is 0. O: 0
The only point 4 units from O is A, so A: 4
Point C has a positive abscissa like A.
Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.
B: -3
C: 3
D: -4.5
E: -6
M = (4 + (-6))/2 = -1. M: -1
b.
OB = |0 - (-3)| = |3| = 3
DA = |-4.5 - 4| = |-8.5| = 8.5
Answer:
z=96, because we know that any straight line is equivalent to 180 degrees, so we subtract 180-48-36=96.
To find x we first make an equation 6x+96+36=180
6x+132=180
6x=180-132
6x=48
6x/6=48/6
x=8
and also cause why not y=96 as well same principle applies.
Answer:
x=2 , x=(-1)
Step-by-step explanation:
y=x^2+3----------1
y=x+5-------------2
1=2
x^2+3 = x+5
x^2-x-2=0
(x-2)(x+1)=0
x=2 , x=(-1)
Answer:
4.31
Step-by-step explanation:
Find the cube root of both sides of the equation.
= 
The cube root will cancel out the cubed in the variable.
v =
Find the cube root of 80. I rounded to the nearest hundredth.
v = 4.31
Answer:
y = - 3(x + 2)² + 12
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, 12), thus
y = a(x + 2)² + 12
To find a substitute (- 4, 0) into the equation
0 = a(- 2)² + 12, that is
4a + 12 = 0 ( subtract 12 from both sides )
4a = - 12 ( divide both sides by 4 )
a = - 3
y = - 3(x + 2)² + 12 ← equation in vertex form
