c. 3
b. –3
d. 87
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 :)
additive inverse
B.
distributive inverse
C.
multiplicative inverse
D.
opposite inverse
Visitors 310 332 355 380 406 434 Using the exponential growth formula y = b(1 + r)^t.
To use a z-procedure to construct a confidence interval for a population proportion, the following conditions must be met:
D) The sample must be random and sufficiently large.
This means that the sample should be selected in a way that each individual has an equal chance of being included. Additionally, the sample size should be sufficiently large to ensure that the normal approximation for the sampling distribution of the sample proportion is valid.
It's important to have a random sample because it helps to ensure that the sample is representative of the population, making the results more reliable and generalizable.
As for the sample size, it should be large enough to satisfy the condition of having at least 10 successes and 10 failures. This ensures that the normal approximation can be applied.
The other answer choices, A) The sample size must be small, B) The population standard deviation must be known, and C) The population must be normally distributed, are incorrect and do not apply to the conditions for using a z-procedure to construct a confidence interval for a population proportion.
By meeting the conditions of having a random and sufficiently large sample, you can use a z-procedure to construct a confidence interval for a population proportion.Answer:
Step-by-step explanation: