Answer:
The equation of the line is -x + 4y = -8
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -3)/(12 - -4)
m = (1 + 3)/(12 + 4)
m = 4/16
m = 1/4
Now that we have the slope, we can use it and either point in point-slope form and solve for the standard form of the equation.
y - y1 = m(x - x1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
-1/4x + y - 1 = -3
-1/4x + y = -2
-x + 4y = -8
Two rectangles can be similar, but that's not always guaranteed.
In fact, similar shapes have the same angles and correspondant sides in proportion.
All rectangles will always have four right angles, so we only have to worry about the sides.
Let be the sides of a rectangle, with . Let be the sides of a rectangle, with .
Then, the two rectangles are similar if and only if
So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).
Answer: 9
Step-by-step explanation:
Substitute in the values into the expression:
Answer:
63
Step-by-step explanation:
If x units, then 2x tens
Number is: 2x(10)+x = 21x
Reversing digits:
2x units and x tens,
Number is: x(10)+2x = 12x
21x - 12x = 27
9x = 27
x = 27/9 = 3
Original number: 21x = 21(3) = 63
Answer:
Simplified expression is 26y - 18
Step-by-step explanation:
15y - 10 + y(2 + 9) - 8
15y - 10 + 2y + 9y - 8
26y - 18