The midpoint is (-1/2, 2)
Answer: 13 cats were at the shelter on Thursday.
Step-by-step explanation:
Let x represent the number of cats that were at the shelter on Thursday.
Let y represent the number of dogs that were at the shelter on Thursday.
Camden found a record showing that there were a total of 30 cats and dogs on Thursday. This means that
x + y = 30
The animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. This means that
2.5x + 4y = 100.5 - - - - - - - - - - - - 1
Substituting x = 30 - y into equation 1, it becomes
2.5(30 - y) + 4y = 100.5
75 - 2.5y + 4y = 100.5
- 2.5y + 4y = 100.5 - 75
1.5y = 25.5
y = 25.5/1.5
y = 17
x = 30 - y = 30 - 17
x = 13
Answer:
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 + = C^2
16 + 50 = c^2
66 = c^2
c =
Since we already know that the slope is 0, x cancels out in the equation.
y = mx + b → y = b
We just need to find the y-intercept. Using the coordinate (2, 4) we can substitute with y.
4 = b
Hence, the answer is b) y = 4
Hope This Helped! Good Luck!
Answer:
x = 130
Step-by-step explanation:
iA square has 4 equal sides, so the one side connected to the triangle is also 16cm. Triangle's 4 sided added together is 180.
180 = x + 32 + 16
180 = x + 50
180 - 50 = x
x = 130