Answer: All of them can be a triangle except for #11 because the two shortest sides don't add up to more than the longest side.
#10 is a Pythagorean Triple so it is a right triangle.
To determine if the triangle is an acute or obtuse triangle, we just need to plug the values into the Pythagorean Theorem. If the sum of the legs squared is greater than the hypotenuse, it's an acute triangle. If the sum of the legs square is less than the hypotenuse, it's an obtuse triangle.
Using this logic, 7 & 12 will be obtuse while 8 & 9 will be acute.
Answer:
The answer is x = 12.
Step-by-step explanation:
We can solve this using proportion.
A parabola with focus of (3, 4) and a directrix of y = 0 has the equation of the parabola as
<h3>How to write the equation of parabola </h3>
Quadratic equation is equal to parabolic equation, when the directrix is at y direction is of the form:
(x - h)² = 4P (y - k)
OR
standard vertex form, y = a(x - h)² + k
where a = 1/4p
The focus
F (h, k + p) = (3, 4)
h = 3
k + p = 4
P in this problem, is the midpoint between the focus and the directrix
P = (4 - 0) / 2 = 2
p = 2
the vertex
v(h, k)
h = 3
k + p = 4, k = 2
v(h, k) = v(3, 2)
substitution of the values into the equation gives
(x - h)² = 4P (y - k)
(x - 3)² = 4 * 2 (y - 2)
(x - 3)² = 8 (y - 2)
y = 1/8(x - 3)² + 2
The quadratic equation is of the form y = 1/8(x - 3)² + 2
Learn more about vertex of quadratic equations at:
brainly.com/question/29244327
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The answer is 28y because 7y x 4 is 28y
The first one, it is also square
