Answer: The constant of proportionality is r = 5.
Step-by-step explanation:
O, we know that x and y are proportional, this means that:
y = r*x
where r is the constant of proportionality.
we also have the table
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair:
35 = r*7
r = 35/7 = 5
for the second pair:
60 = r*12
60/12 = 5 = r
So we can conclude that the constant of proportionality is 5.
A^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
20^2 + 21^2 = c^2
400 + 441 = c^2
841 = c^2
sqrt 841 = c
29 = c <== third straw will be 29 cm
Answer:
Step-by-step explanThis polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5. The exponent of the first term is 2. The exponent of the second term is 1
we know that
Triangle MOL is an isosceles triangle
because
Find the base MP
Applying the Pythagorean Theorem in the right triangle MPO
Find the area of triangle MOL
therefore
the answer is
the area of triangle MOL is
square units
Graph B represents the function g(x)=x^3-2 Graph C represents the function h(x)=2x^3
