Answer:
y = -1/2x+2
Step-by-step explanation:
Two points on the line are (0,2) and (4,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0-2)/(4 -0)
= -2/4
- 1/2
We know the y intercept is 2 since it crosses the y axis at 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1/2x+2
The required equation of the hyperbola is expressed as
The standard form for calculating the equation of a parabola along the x-axis is expressed as:
where:
(h, k) is the center
(k±c, h) are the foci
is the directrix
From the question given, we can see that foci = (±5, 0)
k±c, h = ±5, 0
k = 0
h = 0
c = 5
From the directrix,
Also, we need to know that;
a²+b² = c²
10 + b² = 5²
b² = 25 - 10
b² = 15
Substituting the gotten values into the equation of a hyperbola;
This gives the required equation of the hyperbola
Learn more on the equation of hyperbola here: brainly.com/question/20409089
Answer:
12
Step-by-step explanation:
area of a trapezoid :
where a and b = length of bases and h = height
here, we are given the area, the length of one base and the height
we want to find the other base length
we can do this by plugging in what we are given and then solving for the unknown variable
first lets define our known variables
Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9
we then plug this into the formula and solve for b, the other base length
recall formula :
A = 42 , h = 4 , a = 9
now solve for b
divide both sides by 4
multiply both sides by 2
21 = 9 + b
subtract 9 from both sides
12 = b
the other base length is 12