Answer:
Step-by-step explanation:
1) Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.
2) The vertex of a parabola is the point at the top or bottom of the parabola.
3) 'h' is -6, the first coordinate in the vertex.
4) 'k' is -4, the second coordinate in the vertex.
5) 'x' is -2, the first coordinate in the other point.
Answer:
4
Step-by-step explanation:
Let's call the width W and the length L.
We know the width is 3 less than the length, so:
W = L - 3
And we know the area is 28, so:
28 = WL
If we solve for L in the first equation:
L = W + 3
And substitute into the second equation:
28 = W (W + 3)
28 = W² + 3W
0 = W² + 3W - 28
0 = (W + 7) (W - 4)
W = -7, 4
Since W can't be negative, W = 4 units.
Step 1: Add the two equations together to get just one equation.
2x + y + x - y = 5 + 1
Step 2: Simplify.
3x = 6
Step 3: Divide by 3 on both sides.
3x / 3 = 6 / 3
x = 2
Therefore, the answer is x=2
Answer:
No, it is not a right triangle.
Step-by-step explanation:
The simplest way to determine is testing out the numbers with Pythagorian theorem.
If it complies with the theorem, it is a right triangle.
let's assume c = 28, b = 21, and a = 20
the longest side is the hypotenuse so side c (28 in) will be the hypotenuse.
According to the Pythagorian theorem, the square of the length of hypotenuse must equal to the sum of squares of other two sides.
check:
c^2 = 28^2 = 784
a^2 + b^2 = 21^2 + 20^2 = 841
because c^2 is not equal to a^2 + b^2, the triangle is not a right triangle.
Answer:
x = 2
Step-by-step explanation:
these angles are alternate-interior angles which are congruent
-1 + 38x = 36x + 3
38x = 36x + 4
2x = 4
x = 2
