X-intercepts are points where the graph intersects the x-axis, i.e. when y=0.
Substitute y=0 and solve for x:
y=x^2-3x+2
0=x^2-3x+2
0=(x-2)(x-1)
By the zero product property, we deduce x-2=0 or x-1=0, i.e. x=1 or x=2.
You can use the Pythagorean theorem.
10^2+24^2=diagonal^2
Diagonal=26 inches
Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current V₁ - V₂ = 60/5 = 12 km/h
V₁ - V₂ = 12
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32 => V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
God is with you!!!
Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
