Answer:
$18
Step-by-step explanation:
90 x 1/5
90/5
18
Answer:
a. y = 3x - 11
b. y = -1/3 x - 1
Step-by-step explanation:
The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.
a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:
-2 = 3(3) + b
-2 = 9 + b
-11 = b
The y-intercept is -11. Now we can write our equation:
y = 3x - 11
b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:
-2 = -1/3(3) + b
-2 = -1 + b
-1 = b
The y-intercept is -1. Now we can write our equation:
y = -1/3x - 1
Hope this helps :)
Answer:
The median is increased by 2
Step-by-step explanation:
The median is the number in the middle of the data when looked at from lowest value to greatest value. For the first data set, the median is 22. There are five values, and 22 has two values on both sides. For the second data set, the median is 24. Since there is an even number of data values, you have to take the two middle values, which are the values that have the same amount of values on each sides, and then find the average of those two values. To find the average, add up the values you are trying to find the average of, and then divide the sum by the number of values. The two middle values are 22 and 26 because there are two numbers on either side of them. (On the left side, there are the numbers 15 and 19, and on the right side, 29 and 81.) The average of 22 and 26 is 24 because 22 + 26 = 48, and 48/2 = 24. 24 is 2 greater than 22.
Answer is B bro look it up
The area of a parallelogram is base times height.
We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse
sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3
The height is 3 √3
Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²
Answer is C) 24 √3 cm²
