Answer:
C
Step-by-step explanation:
There’s nothing hard with this
You need to know special right triangles
This is a 30,60, 90 triangle
We automatically know becuase theres. Right angle (90) and a 60 degree angle
now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6
The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers
Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N
. So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle
Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:

Note that in general a quadratic equation is such that:

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).