12^2=144
144 is divided by b which also is an odd interger, there only 2 numbers : 1 and 3
if b=3, a^2=48, then there will be no a available
if b=1 , a^2=144, then a is 12 and 12 can not be divided by 9
The answer is D
Answer:
B
Step-by-step explanation:
Recall that functions are defined only if for each value in the domain produces one and only one value in the range.
If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value
Lets evaluate the options:
A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)
D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
the only choice where this doesn't occur is choice B
Answer:
QN = 43
Step-by-step explanation:
3x-5 = 2x+8+3
3x-5 = 2x+11
x-5 = 11
x = 16
MP = 3x-5
MP = 3(16)-5
MP = 48-5
MP = 43
MP and QN are ≅ so QN = 43
So the right options are:
Further explanation:
Given equation of line is:
2x+5y=10
We have to convert it into point-slope form
The co-efficient of x is the slope of the line
So,
As the required line is parallel to given line, it will also have same slope.
Let m1 be the slope of required line
Then the line will be:
Putting the value of slope
Putting (-5,1) in the equation to find the value of b
Putting the values of slope and b in equation
Multiplying the whole equation by 5 will give us:
5y = -2x-5
2x+5y = -5
Another form of equation of line is Point-slope form
Putting the values of slope and point in the equation, we get
So the right options are:
Keywords: Point-Slope form, Parallel lines
Learn more about point slope form at:
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