Answer:
Option A: −5+i
Step-by-step explanation:
In the complex plane, the real part of the number is expressed in the horizontal axis, and the imaginary part is expressed in the vertical axis. So, to find the distance of a point to the origin, we just need to apply the distance formula with the second point being (0,0):
A. −5+i
real part: -5
imaginary part: 1
distance to origin: D = sqrt((-5)^2 + 1^2) = 5.099
B. −2+4i
real part: -2
imaginary part: 4
distance to origin: D = sqrt((-2)^2 + 4^2) = 4.4721
C. 3 + 3i
real part: 3
imaginary part: 3
distance to origin: D = sqrt(3^2 + 3^2) = 4.2426
D. 4 + 3i
real part: 4
imaginary part: 3
distance to origin: D = sqrt(4^2 + 3^2) = 5
So the farthest point from the origin is point A: −5+i
Answer:
60 degrees
Step-by-step explanation:
All angles of a triangle will add up to equal 180 degrees.
Set up an equation to solve for x:
9x - 3 + 50 + 9x + 7 = 180
Combine like terms
18x + 47 + 7 = 180
18x + 54 = 180
Subtract 54 from both sides
18x = 126
Divide both sides by 18
x = 7
Now plug in 7 for x in the expression for angle A:
9(7) - 3
63 - 3
60
Check work:
60 + 50 + 9(7) + 7 = 180
110 + 63 + 7 = 180
173 + 7 = 180
180 = 180
Correct
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
I believe it should be B.156 square feet because in order to find the area of a square, you gotta multiply 13ft and 12ft. Once that is solved your answer should be 156.
(11/12) / (2 5/8) = ...turn mixed numbers to improper fractions
(11/12) / (21/8) = ...when dividing fractions, flip what u r dividing by, then multiply
11/12 * 8/21 = 88/252 reduces to 22/63