Answer:
The equation of a parabola is
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
The general form is:
The vertex form is:
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts:
Answer:
a = 5
Step-by-step explanation:
If it's easier for you, you can replace n(a) with y and put a as x.
Now the equation is y = 7x + 4.
It asks you to put in 39 as y.
39 = 7x + 4.
To solve this, the goal is to isolate the variable on one side. The first step I see is to subtract the 4 from both sides.
35 = 7x
Now divide both sides by 7 and we're done!
5 = x
Given parameters:
Cost price of the article = Nu.28.30
Selling price of the article = Nu.29.30
Unknown:
Gain percentage = ?
The gain percentage is the same as the percentage profit on a trade.
The formula is given as:
Gain percentage =
Profit = Selling price - Cost price
= Nu.29.30 - Nu.28.30
= Nu. 1
Now input the parameters and solve;
Gain percentage =
= 3.5%
The gain percent is 3.5%
Answer:
B
Step-by-step explanation:
When graphed the circle has a point in (-4,-3) and the center is (-8,-6)
Answer: 18
Step-by-step explanation: The formula for calculating a triangle’s area is 1/2(base•height). This means that 12•3 is 36, which multiplied by 1/2 is 18.
(Hope this helps)