Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
Answer:
-3
Step-by-step explanation:
y = -3x
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -3 and the y intercept is 0
Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
1. the factors of 24 are 1, 24, 2, 12, 3, 8, 4, and 6. Each pair, fx. 1 and 24 with be 24 when multiplied.
2. Quaderant 3, quaderants go from 1 to 4 counterclockwise, and a (negative x, negative y ), will be in the 3rd quaderant if you go counterclockwise.
3. 7×x, the answer is simple 7 and x, with the key words "product of" which signify multiplication so it will be 7 times x.
C=2πr and x^2+y^2=r^2
r=4 because of the equation (16)^1/2 is 4
C=8π
