The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3
Answer:
the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
A scalene triangle is a triangle that has 3 sides that are all different lengths.
Let these letters represent the problem:
a = 8.7
b = side 2
c = side 3
P = 54.6
To find the perimeter, we just need to add all the sides [ P = a + b + c ]
So, put what we have in the formula above.
54.6 = 8.7 + b + c
Best of Luck!
Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form .
This results in .
Next, we <u>simplify the equation</u> to get .
<u>Factoring </u>the left side gives us .
Finally we <u>solve the equations</u>: and .
This gives us x=1, and x=-15
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right
y = -2x
This has a y-intercept of 0, so the line intersects the y-axis/goes through the origin at (0,0)
The slope is -2 or , so from each point, you go down 2 units, and to the right 1 unit.