Answer:
y = 
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k =
y = x² ← equation of proportion
Answer:
:)
Step-by-step explanation:
5/15 divided by 5 is equal to 1/3 and
8/12 divided by 2 is 4/6 divided by 2 is 2/3
You have to divide the numerator with the same number that you divide the denominator with.
Answer:
Attached is the sketch
X-axis intersections:
(-3,0)
(0,0)
(1,0)
Points of inflection:
(-1,319,-2.881) Concave upward
(0.569,1.041) Concave downward
Step-by-step explanation:
Desmos (I'm not allowed to post the link, pls search it up) is a great help for these type of problems!
C
Use the formula of the Pythagorean theorem. a^2 + b^2 = c^2
a = 11.5
b = 18
11.5^2 + 18^2 = 456.25^2
Sqrt(456.25) to find c
c=21.36 in.
For this case we have the following points:
y = (- 2, 5)
z = (1, 3)
Therefore, the vector yz is given by:
yz = z - y = (1, 3) - (-2, 5)
yz = ((1 - (- 2)), (3-5))
yz = ((1 + 2), -2)
yz = (3, -2)
Then, the magnitude is given by:
lyzl = root ((3) ^ 2 + (-2) ^ 2)
lyzl = root (9 + 4)
lyzl = root (13)
Answer:
yz = (3, -2)
lyzl = root (13)
option A
