A women buys 23 pounds of potatoes. She gives 10% of them to a neighbor and 15% of them to her mother. How many pounds dose she
2 answers:
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Answer:
No, it's not a right triangle.
Step-by-step explanation:
1. The Pythagorean Theorem states that the area of the square whose side is the hypotenuse (longest side of a right triangle) is equal to the sum of the area of the squares from the two other sides.
2. The longest side in this "triangle" has 18 centimeters, and the other 2 sides are 5 and 12 centimeters.
3. Let's apply the Pythagorean Theorem to see if 5^2 + 12^2 = 18^2
4. Okay, so the sum of the area of the squares from the two other sides is not equal to the hypotenuse squared, therefore, it's not a right triangle.
(Plus, it's not even a triangle because 7 < x < 17, and the third "side", 18, is not between 7 and 17.)
Answer:
Part a) The function’s equation written in vertex form is
Part b) The function’s equation written in factored form is equal to
Step-by-step explanation:
Part a) What is the function’s equation written in vertex form?
we know that
The equation of a vertical parabola written in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
Looking at the graph
The vertex is the point (2,-8)
substitute
Find the value of the coefficient a
take one point from the graph
(0,0)
substitute in the equation
therefore
The function’s equation written in vertex form is
Part b) What is the function’s equation written in factored form?
we know that
The equation of a vertical parabola written in factored form is equal to
where
a is a coefficient
x_1 and x_2 are the zeros or x-intercepts of the function
Remember that the x-intercept is the value of x when the value of the function is equal to zero
Looking at the graph
The zeros or x-intercepts of the function are
x=0 and x=4
so
Find the value of the coefficient a
take one point from the graph
(2,-8)
substitute
therefore
The function’s equation written in factored form is equal to