Answer:
it may be B.
Step-by-step explanation:
A right triangle means that one angle is 90 degrees. If the other is 30 then we can figure out the last one.
A triangle’s interior angles add up to 180 so all we have to do is subtract the other angles from 180 to find the remaining one.
180-90-30=60.
The third angle is 60 degrees.
Answer:
x = -3/2
Step-by-step explanation:
3 / (x − 1) − 1 / (x² − 1) = 5 / (x − 1)
Subtract 3 / (x − 1) from both sides:
-1 / (x² − 1) = 5 / (x − 1) − 3 / (x − 1)
The denominators are the same, so subtract:
-1 / (x² − 1) = 2 / (x − 1)
Cross multiply:
-1 (x − 1) = 2 (x² − 1)
Simplify and solve:
-x + 1 = 2x² − 2
0 = 2x² + x − 3
0 = (x − 1) (2x + 3)
x = -3/2 or 1
x can't be 1 (can't divide by 0), so x = -3/2.
Perpendicular lines have negative reciprocal slopes.
Let the slope of the linear equation, y = 1/2x — 4 be m1 = 1/2
And the slope of the line perpendicular to y = 1/2x — 4 as m2,
Then it means that the slope of m2 must be -2 (because if you multiply 1/2 with -2, the result will be - 1).
Now that we have our slope for m2, we can find out the equation of the line by using point (4,1) and slope (m) = -2. Plug these values into the slope-intercept form:
y = mx + b
1 = -2(4) + b
1 = -8 + b
Add 8 to both sides to solve for y-intercept, b:
1 + 8 = -8 + 8 + b
9 = b
Since the y-intercept, b = 9, and slope m2 = -2, we can establish the linear equation of the perpendicular line:
y = -2x + 9
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The answer is n trust me.
