Answer:
Step-by-step explanation:
∠2= ∠4 { alternate interior angles}
∠2= 65
∠1 + ∠2 = 180 {linear pair}
∠1 + 65 = 180
∠1 = 180- 65
∠1 = 115
Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
Answer:
Step-by-step explanation:
Second option correct
Answer: have no idea hon
Step-by-step explanation:
Answer:
Let's solve for x.
2x+3y=6
Step 1: Add -3y to both sides.
2x+3y+−3y=6+−3y
2x=−3y+6
Step 2: Divide both sides by 2.
2x
2
=
−3y+6
2
x=
−3
2
y+3
Answer:
x=
−3
2
y+3
