Answer:
y = (-1/3)(x + 10)
Step-by-step explanation:
The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3. Thus, the perpendicular line has the slope -1/3.
Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:
y = mx + b => -6 = (-1/3)(8) + b, or
-6 = -8/3 + b. We must solve for the y-intercept, b:
Multiplying all three terms by 3 removes the fraction:
-18 = -8 + 3b. Thus, -10 = 3b, and so b must be -10/3.
The desired equation is
y = (-1/3)x - 10/3, or
y = (-1/3)(x + 10)
Answer:
Step-by-step explanation:
A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.
- If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
- The closer it is to -1 or 1, the stronger the relationship.
Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.
Answer:
30.
Step-by-step explanation:
first term = a
3r term = ar^2
So here ar^2/ a = r^2
r^2 = 5/180 = 1/36
r = 1/6
So missing term = 180 * 1/6 = 30.
Answer:
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
Answers: A, C, D
Explanation: Let (x-3)=0. x then equals 3. Substitute f(3) into each equation, and the ones which equal 0 are the answer.
