14n-22 is the answer. Use the distributive property.
Answer:
The ratio of the areas of the smaller rectangle to the larger rectangle is 
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the smaller rectangle
y----> the area of the larger rectangle
so
substitute the values
simplify
That means, the area of the larger rectangle is 9 times the area of the smaller rectangle
------> the scale factor
That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle
Answer:
P(green or purple) = 0.576
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
32 + 47 + 21 + 25 = 125 blocks.
Of those, 47 + 25 = 72 are green of purple
P(green or purple) = 72/125 = 0.576
The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = <u>1</u>
Y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1
Solution = (2, 1)
