Answer:
Step-by-step explanation:
<u>Given points:</u>
The perpendicular bisector passes through the midpoint.
<u>Finding the coordinates of the midpoint first:</u>
- x = (-2 + 6)/2 = 2, y = (-2 + 0)/2 = -1
<u>Next finding the slope of AB:</u>
- m = (0 - (-2))/(6 - (-2)) = 2/8 = 1/4
The perpendicular lines have negative-reciprocal slopes.
<u>The line will have a slope of -4 and pass through the point (2, -1)</u>
- y - (-1) = -4(x - 2)
- y + 1 = -4(x - 2) - point-slope form
- y = -4x + 7 - slope-intercept form
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Call the sum S. Then, you can use the definition of percentage to obtain an equation to find the value of S: 1) 28% = 28 / 100; 2) 28% of x = (28/100)x; 3) that is equal to $100.80 => (28/100)x = 100.8 => x = 100.8 * 100 / 28 => x = 360. You can verify that the 28% of 360 is 100.80: 360 * 28/100 = 100.80. <span>Then, the answer is $360.</span>
Answer:
44
Step-by-step explanation:
The range is possible y-values so we just plug in all the domains to find the range
When x=-4, y=44
When x=0, y=0
When x=1, y=-1
When x=2, y=2
When x=3, y=9
When at the function at x=4, it is the largest so y=46
Answer:
d <-15
In interval notation
(-∞,-15)
Step-by-step explanation:
-7d>105
Divide each side by -7. remembering to flip the inequality
-7d/-7 < 105/-7
d <-15
