first, we can find the slope from the equation that is given buy solving the equation for y
3x+2y = 6
2y = 6-3x
y = 3-3/2x
y = -3/2x+3
now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2
perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have
-3/2 → 3/2 → 2/3
the slope of the perpendicular line is 2/3
hope this helped
Answer:
67.38 degrees
Step-by-step explanation:
Here, we want to find the value of the angle at X
We are going to use the appropriate trigonometric ratio here
From the question, the vertex X faces the side 12 and that makes the side the opposite
The side 13 faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects both is the sine
so we have that;
sine X = 12/13
X = arc sin (12/13)
X = 67.38
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
If you have a graphing calculator (such as a TI-84), you can use the normalcdf feature by clicking on the blue "2nd" button, then the "vars" button and then choice 2. Since you are finding the proportion of hybrids that get over 61 mpg, the lower bound is 61, the upper bound is infinity (you can type in 99999), the mean is 57, and the standard deviation is 3.5. So... normalcdf(61,99999,57,3.5) = .1265. This means that 12.65% of the hybrids get over 61 mpg.
Answer:
(1 + y)(x + 2y)
hope this is right
Step-by-step explanation:
