Find the 75th term of the following arithmetic sequence. 14, 22, 30, 38,
1 answer:
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Answer:
Step-by-step explanation:
for two lines to be parallel they MUST have the same slope but have different Y intercepts ( Y axis crossing values)
parallel lines will never intersect each other
first I use a graphing calcuator to solve the problem
I like to use y intercept form better, but you don't have use it
I will try to solve it directly without going through the y intercept equation
x + 5y = 10 in y intercept form y = mx + b is
5y = -x + 10 divide both sides by 5
y = -x/5 + 10/5
y = -x/5 + 2
Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope = m = -1/5
and a different Y axis crossing point 'b' that we don't know
y = -x/5 + b y = 3 when x = 1 so slove for 'b'
3 = -1/5 + b
3 = -0.2 + b add -0.2 to both sides
3.2 = b
y = -x/5 + 3.2 this is answer in y intercept form
if you multiply both sides by 5
5y = -x + 16 add x to both sides
x + 5y = 16 answer in standard form
THE EASIER WAY TO SOLVE THE PROBLEM IS ......
x + 5y = 10 find a line parallel that passes through x = 1, y = 3
x + 5y = Z Z is an unknown value plug in x and y and solve for Z
1 + 5(3) = Z
Z = 16 so the parallel line in standard form is
x + 5y = 16
same as before, my y intercept method was correct, but not worth the effort
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
or
The distance between -5 and 11 is
Middle point would be from
.
So,
The maximum height will be
The maximum height is 8 feet and the horizontal distance is 16 feet.
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Answer:
There are 20 kids total in the class.
Step-by-step explanation:
15/100 × 20 = 3
You can use direct proportion for any percent calculation.
Compare each number with its percent.
3 i s 15 % of what number? Let the number be x
So, 3 represents 15 % and x represents 100 %
x/ 100 = 3/15
Multiply by 100 to isolate x
x =
x = 20
Check: 15/ 100 × 20 = 3