Answer: if you had a circle of radius r, then the 2*radius is equal to the diagonal of the square. So the length of the side is calculated from the Pythagorean theorem since squares have right triangles in them: (2r)^2=2(l^2). Sqrt(2*r^2)=l where l is the length of the side of the square.
Step-by-step explanation:
Answer:
A) Graph the line using the slope and y-intercept .. or just two points
B) To find the x-intercept, substitute in 0 for y and solve for x .... and for the y-intercept, substitute in 0 for x and solve for y
x-intercept(s): (
2
,
0
)
y-intercept(s): (
0
,
4
)
Step-by-step explanation:
Answer: A. -17 , 19
Step-by-step explanation:
Move all terms to one side.
z^2-2z-323=0
z^2 −2z−323=0
Factor : z^2-2z-323
z^2−2z−323.
(z-19)(z+17)=0(z−19)(z+17)=0
Solve for z.
z=19,−17
The line y = mx + c has a slope of m.
Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b
Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b
Answer:
Parallel line:
Perpendicular line:
Answer:
Yes
Step-by-step explanation: