Find the difference vertically( North and South) and the difference horizontally ( East and West)
Then use the Pythagorean Theorem.
600 North - 200 South = 400 m
400 West - 100 East = 300 m
Now using the Pythagorean Theorem;
400^2 + 300^2 = total displacement^2
Total displacement^2 = 160,000 + 90,000
Total displacement^2 = 250,000
Total displacement = √250,000
Total displacement = 500 m
Step-by-step explanation:
if I understand correctly, then the function is
t(x) = 8x
now we know, that for a specific n
t(n) = 200
that means
200 = 8n
n = 200/8 = 25
the function tells us, that for 25 trucks we need 200 tires.
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
Answer:
d. alternate interior angles are congruent
