We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer:
pi r squared divided by 2 for the half circle then add the area of the box to you number and there is your area
I am pretty sure that it would be 13m + 8. All you have to do is combine the like terms.
Answer:
The probability of randomly choosing a slice of veggie pizza is 3/7
Step-by-step explanation:
Probability is the measure of uncertainty of any event. It is the ratio of number of favorable outcomes to the total number of possible outcomes. That is,
Probability, P(A) = (Number of a Favourable outcome) / (Total number of possible outcomes).
From the question,
There are four slices of pepperoni pizza and three slices of veggie pizza, this means
Total number of favourable outcomes = 4 + 3 = 7
The favourable outcome is the veggie pizza, therefore
Number of favourable outcome = 3
Hence,
Probability P (A) = 3 ÷ 7
P(A) = 3/7
The probability of randomly choosing a slice of veggie pizza is 3/7
