The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
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Answer:
The measure of angle θ is 7π/6. The measure of its reference angle is <u>210°</u>
and sin θ is <u>-1/2</u>.
Step-by-step explanation:
The correct question is:
<em>The measure of angle θ is 7π/6. The measure of its reference angle is ___</em>
<em>and sin θ is ___</em>
180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:
180° / π radians = x° / (7π/6 radians)
x = (180/π) * (7π/6 radians)
x = 210°
And sin(210°) = -1/2
Answer: 36
Step-by-step explanation:
Multiply -6 by itself six times, then divide 1 by -6 four times. Multiply the products. Then multiply -6 by itself one more time and you will get 36.
The top question is 1/4. There seems to be a small multiplaction symbol next to the fractions, I'm ignoring that. To get 1/4, I multiplied 2 by itself six times because of the exponent, to get 64. I did the same with the bottom, and recieved 256. 64/256 is 1/4.
The group of tiles represent answer A. There are 6 x² tiles, 3 x tiles, and 1 tile.
So we have the system of equations:
equation (1)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
in equation (2):
equation (3)
Replacing equation (3) in equation (1):
equation (4)
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
