180 = 82 + 2d
98 = 2d
d = 49
Step-by-step explanation:
since they are in order points p and q are in the middle and points O and R are on the end so they say that OR=36 since you don't know the exact lengths of all of the lengths in the middle from O to R then you multiply 5,6 and 1 by x and add
5x+6x+1x=12x
so then the whole length is equal to the ratio of 12x and also 36 so set those to equal each other
12x=36
x=3
so that is just the ratio and since they are asking for the length of O to Q that means that it is just 5x+6x=OQ
11x=OQ
insert x=3
33=OQ
Hope that helps :)
Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)
which can be rearranged as 
.
Substituting this lone y into the first equation, you get:
Move everything to one side:
Factor:
2)
which can be rearranged as 
.
Let's use elimination this time and subtract the first equation from the second:
Factor:
3)
Let's set the two equations equal to each other through substitution:
Move everything to one side:
Factor:
Hope this helps!
Answer is D
remember you can put whole numbers as fractions too
so 7 would be 7/1
you can simply multiple across for fractions:
7/1 * 1/10
