Answer: m = -5/8
Step-by-step explanation:
The general equation for slope is rise over run, also known as:
m=(y2-y1)/(x2-x1)
From the points (x, y), we can get all the variables we need.
(-1, -7) gives us x1 = -1 and y1 = -7
(-9, -2) gives us x2 = -9 and y2 = -2
If we plug all the values in, we get:
m = (-2 - (-7))/(-9 - (-1))
m = (-2 + 7)/(-9 + 1) the negatives cancel
m = (5)/(-8)
m = -5/8
Answer:
Step-by-step explanation:
There are
2 yellow
3 magenta
5 blue
marbles in the bag.
So total of 2 + 3 + 5 = 10 marbles
We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).
We denote P(Y1) as probability of yellow on first draw &
P(Y2) as probability of yellow on second draw
Thus,
P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]
Now,
P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]
Now, we multiply:
P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45
The probability is
Let's call the smaller number x:
y-x=5
xy=104
y-x=5 can be rewritten as y=x+5
Substituting this into the second equation gives:
x(x+5)=104
x^2+5x=104
x^2+5x-104=0
Then simply solve as a quadratic:
x^2+13x-8x-104=0
x(x+13) -8(x+13)=0
(x-8)(x+13) = 0
x=8,-13
the question said the numbers are positive, so x=8
if x=8,
y=x+5
y=13
So the two numbers are 8 and 13.
Area of a right triangle is equal to (the length times the height) divided by 2
So the area of each tile is (3 x 3) / 2 = 4.5 square centimeters
200 tiles equal 200 x 4.5 = 900 sq cm
