a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)
when p and q are the roots then we use equation
y = a(x- p)(x-q)
We are given with roots 3 and -1
y = a(x- 3)(x-(-1))
y = a(x- 3)(x + 1)
Now we use the given point (-3,3) to find out 'a'
3 = a(-3- 3)(-3 + 1)
3= a(-6)(-2)
3= 12a
divide by 12 on both sides
Replace the value of 'a'
The length of the shorter rope is 20 cm.
<h3>How to find the original length of the rope using ratio?</h3>
He cut a rope into two pieces with lengths having a ratio of 5 to 2.
The shorter piece is 70 cm long.
The length of the original rope can be calculated as follows:
The ratio of the length of the rope is as follows;
5 : 2
let
x = length of the original rope
Therefore,
length of shorter piece = 2 / 7 × 70
length of shorter piece = 2 / 7 × 70
length of shorter piece = 140 / 7
length of shorter piece = 20 cm
Therefore, the length of the shorter rope is 20 cm.
learn more on ratio here: brainly.com/question/15418103
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Can you post the rest of the question please?
Answer:
About four of the pizzas are plain cheese, 3.83 pizzas to be exact.
Step-by-step explanation:
1/3 of 11.5 is 3.83
