Answer:
y = x + 4
Step-by-step explanation:
We are to find the equation of line 1 which passes through point (-4,6)
Line 1 is perpendicular to line 2.
The equation of line 2 is; y = x + 5
The slope of line 2 is
Because the product of two perpendicular line is -1;
The slope of line 1 is -1 ÷ =
Taking another point (x,y) on line 1;
Slope = change in y ÷ change in x
=
y - 6 = (x + 4)
y - 6 = x -
y = -
+ 6
y = x + 4
Answer:
The length is of 59 cm.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle with width w and length l is given by:
Width of 49 centimeters and a perimeter of 216 centimeters:
This means that
The length is cm.
We have to solve the equation for l. So
The length is of 59 cm.
Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.