Linear Forms
Give answer in Point Slope Form.
A line parallel to Y=4X-3 and passing through the point (-3,-2).
Y+2=4(X+3)
Write the equation in standard form of the circle with a center of (5,-3) and radius of 3(sqrt)2.
(x-5)2+(y+3)2=18
y varies inversely as x and y=7.5 when x=2.
Write a variation model for the information above.
y=15/x
Find the intercepts.
Y=-2X+3
yint: 3
xint: 3/2
The point (5,3) is symmetric to the x axis. What is the new point?
Give answer in Point Slope Form.
A line perpendicular to -3X+6Y+14=0 and passes through the point (4,3).
Y-3=-2(X-4)
Give answer in Standard Form.
Circle with center (3,-4) and passing through (6,2).
(x-3)2+(y+4)2=45
If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when
g = 18 and h = 6.
f=5
Find the intercepts.
Y=x2+5x-6
xint: -6,1
The point (1,-2) is symmetric to the origin. What is the new point?
(-1,2)
Give answer in Standard Form.
A line with a Y-intercept of 4/3 and X-intercept of 2/3.
6x+3y=4
Circle with endpoints (4,-3) and (2,1).
X2+Y2-6X+2Y+5=0
q varies jointly with the square of m and the square root of n. If q = 45 when m = 3 and n = 25, find q when m = 4 and n = 36.
q=96
5x-3x=2
[No, this is not an error :)]
xint: 1
y2=x+1 is symmetric to the x axis, y axis, origin, or no symmetry?
Symmetric to the x-axis
Give answer in Standard Form.
A line perpendicular to Y=2X-5 and passing through the (-3,8).
x+2y=13
Find the center and radius.
x2+y2+16x-22y-20=0
center: (-8,11)
radius: (sqrt)205
The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same diameter.
50 ohms
(x-2)2+(y-1)2=5
xint: 0,4
yint: 0,2
y=x3+1 is symmetric to the x axis, y axis, origin, or no symmetry?
no symmetry
Give answer in Slope-Intercept Form.
A line perpendicular to Y-4=-3(X-2) and passing through the point (6,5).
Y=1/3X+3
Give answer in standard form.
Center lies IN the fourth quadrant and tangent to x=7,y=-4, and x=17.
(x-12)2+(y+9)2=25
Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 8 grams and a velocity of 5 centimeters per second has a kinetic energy of 100 ergs. Find the kinetic energy for a mass of 6 grams and a velocity of 9 centimeters per second.
243 ergs
(y+1)2=x-3
xint: 4
yint: none
y3=1/x2 is symmetric to the x axis, y axis, origin, or no symmetry?
Symmetric to the y-axis