Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step explanation:
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We can solve this problem by seeing at which part both of the parts of the graphs of the function are discontinued. Both of the parts of the graph of the function are discontinued at -2, so we will have to find a function that has a value that is undefined for x = -2. We can do this using the denominator of the fraction that's in each of the functions. The function where x = -2 will cause it to be undefined is the third one, so the answer to this question is C.,
f (x) =
+5.
(-4) is the same as x, so looking the conditions that are the results for the function, you realize:
-2 is the result of the function to the values of X that are under -3: the result will be -2 if x < -3
x < -3 ; x = -4 ; -4 < -3 (it's true), in other words, -4 is less than -3, so f(-4) = -2
Answer:2m^2+mn+2m+9n-3
Step-by-step explanation:
m(2+n-m)+3(3n+m^2-1)
open brackets
2m+mn-m^2+9n+3m^2-3
Collect like terms
3m^2-m^2+mn+2m+9n-3
2m^2+mn+2m+9n-3