The quadratic equation that has a vertex at (4,-3) and passes through (6,-1) is given by:
y = 0.5(x - 4)² - 3.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (4,-3), hence:
h = 4, k = -3.
The equation is:
y = a(x - 4)² - 3.
When x = 6, y = -1, hence we use it to find the leading coefficient a as follows:
-1 = a(6 - 4)² - 3
4a = 2.
a = 0.5.
Hence the equation is:
y = 0.5(x - 4)² - 3.
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You dont have anything that we can answer to.
Answer:
14+n=-28
Step-by-step explanation:
Answer:
200x43%=86
Step-by-step explanation:
<u>The correct answer is </u><u>8.5 in.</u>
<h3 /><h3>What is Heron's formula in math?</h3>
- Heron's formula, formula credited to Heron of Alexandria for finding the area of a triangle in terms of the lengths of its sides.
- In symbols, if a, b, and c are the lengths of the sides: Area = Square root of√s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.
we know that
The formula of area of triangle is equal to
We have
b = BC = 6 in
h = AD = x in
substitute
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
Let a,b,c be the lengths of the sides of a triangle.
The area is given by:-
where p is half the perimeter
a = 9 in , b= 9 in, c = 6 in
Find the area
Substitute the value of the area in the equation 1 and solve for x
25.46 = 3x
x = 25.46/3
x = 8.5 in
Learn more about Heron's Formula
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