Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Answer: A'(-2, -3), B'(-4, 0), C'(-6, -10)
Step-by-step explanation:
To rotate a point (x, y) counterclockwise by 90 degrees about the origin, we can use the following formulas:
x' = -y
y' = x
Let's apply these formulas to each vertex of triangle ABC:
For point A(-3, 2):
x' = -2
y' = -3
So, the coordinates of A' are (-2, -3).
For point B(0, 4):
x' = -4
y' = 0
So, the coordinates of B' are (-4, 0).
For point C(-10, 6):
x' = -6
y' = -10
So, the coordinates of C' are (-6, -10).
Therefore, after a 90° counterclockwise rotation about the origin, the coordinates of the image triangle A'B'C' are A'(-2, -3), B'(-4, 0), and C'(-6, -10).
I hope this helps :)
Answer:
Option 3 -
Step-by-step explanation:
Given : Options in the figure.
To find : Which of the following is a complex number?
Solution :
Complex number is defined as the number which contains real number along with imaginary number.
The complex number is in the form of a+ib.
Now, we determine one by one.
Option 1 - -7
-7 is the real number not complex.
Option 2 -
is the real number not complex.
Option 3 -
is in the form a+ib so it is a complex number.
Option 4 -
is the real number not complex.
Therefore, Only option 3 is the complex number.
Which describes a greater unit rate of change of Y with respect X, the equation y=0.25x or the table?
Choose 1 answer:
A. The table
B. The equation
C. The unit rates are the same
By calculating the slope, we can say that the table best describes the change in Y with respect to X.
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Equation of line is y = mx + c where m is the slope.
Similarly, in y = 0.25x, 0.25 is the slope.
For the table, we need to calculate slope.
m = 0.4
As we compare, it is clear that the slope calculated from the table is greater.
Learn more about slope here
#SPJ2
Answer:
The surface area of the can is
Step-by-step explanation:
we know that
The surface area of a cylinder (can of soup) is equal to
we have
----> the radius is half the diameter
substitute the values
Answer:
351.68 is ur answer
Step-by-step explanation: