Answer:
the slope of the line that is perpendicular to the given line is 
Step-by-step explanation:
As the slope intercept form is

Where
- m is the slope
- b is the y-intercept
Considering the equation



As we know that perpendicular lines have negative reciprocal slopes.
So,
Hence, the slope of the line that is perpendicular to the given line is 
Keywords: slope, slope of a line, equation
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Answer:
you would add 6 ounces of water to 9 ounces of mix
Step-by-step explanation:
to find the ratio of water to pancake mix, divide 4/4 and 6/4 to find the unit ratio of water to each 1 ounce of mix.
6/4 = 0.66...
0.66... ounces of water is used per 1 ounce of mix.
0.66... * 9 = 6
this means that 9 ounces of mix would use 6 ounces of water.
We will have the following:
A. The function is compressed in the y-axis by a factor of 0.5 and then it is inverted in its direction; since it is a line the line is then decreasing instead of increasing.
B. The function is increased by a factor of 2 in the y-axis and then it is moved 3 units up:
C. The function is increased by a factor of 5/3 (Approximately 1.67) in the y-axis and then it is made so it is no longer increasing, but decreasing:
D. The function is increased in the y-axis by a factor of 9 and then it is moved 9 units down:
Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
Answer:
x = 2, -1
Step-by-step explanation:
x² - x + 1 = 3
- 3 -3
x² - x - 2 = 0
(x -2)(x + 1)