Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
Answer:
The correct answer is that there will be 45 remaining apples.
Step-by-step explanation:
So, you start off with 89 and then you take 72 away, that leaves you with 17 apples. Then, you buy 14 more which brings it up to 31. After that, you give 12 more away which brings your total down to 19. Next, you go out and buy 42 more, which adds up to 61 remaining apples. Finally, you give away 16 more, which brings you to a grand total of, 45 apples left.
Hope this helps!
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Answer:
x = 145
Step-by-step explanation:
x and 35 are adjacent angles and are supplementary, sum to 180° , then
x + 35 = 180 ( subtract 35 from both sides )
x = 145
Answer:
true
Step-by-step explanation:
5x + 4x = 9x
3y + 7y = 10y
8 + 34 = 42
Answer:
Step-by-step explanation:
We have to make 5 place serial number with first two as alphabets and last three as digits.
The alphabets are bonded to first 6 ( A, B, C, D, E, F) where as digits are 10 (say 1 to 10).
Let the serial number be S1 S2 S3 S4 S5.
For Alphabets
For S1 we have 6 alphabets.
Now for S2 we are left with 5 alphabets since there is no repetition one alphabet will be fix for S1.
So the possible combination for S1 S2= 6x5=30.
For Digits
We did the same as we did for alphabets, for S3 we have 10 possibilities, and for S4 and S5 9 and 8 respectively due to the no repetition condition.
So the possible combinations for S3 S4 S5 = 10x9x8=720
So the total number of serial numbers are 30+720=750.
