Well, let's use the Euclidean algorithm:
164 = 4×37 + 16
37 = 2×16 + 5
16 = 3×5 + 1
Then working backwards,
1 = 16 - 3×5
1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37
1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37
so that x = 7 and y = -31.
Answer:
Option: D is the correct answer.
The equation of line in point-slope form is given by:
y-9=2(x-1)
Step-by-step explanation:
We know that the point-slope equation of a line is given by:
y-b=m(x-a)
where (a,b) is the point from which the line passes and m is the slope of the line.
Here we are given that:
The line passes through (1,9) and slope of the line is given to be 2.
Hence,
(a,b)=(1,9) and m=2
Hence, the equation of line is given by:
y-9=2(x-1)
Therefore, the point slope intercept equation of the line is: D
the answer is 4.5 ft
Step-by-step explanation:
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
*see attachment showing the line graph
Answer:
2
Step-by-step explanation:
The red line represents the line for women, while the blue line represents the line for men.
Age 45 is the middle of 40 and 45 on the x-axis.
The average number of awakenings during the night for 45 -year-old men ≈ 5
The average number of awakenings during the night for 45 -year-old women = 3
The difference = 5 - 3 = 2 times during the night.
Answer:
(2,8), (3,5),
Step-by-step explanation:
