Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, 
. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
- A)
- C)
Therefore, the answer is <u>(A) (0, -1)</u>.
Answer:
1/5
Step-by-step explanation:
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:
x + y = 25 and 4x + 3y = 84
The first one would refer to the number of tiles and the second one to number of edges.
We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with x = 25 - y which would look like this:
4 (25 - y) + 3y = 84
Solve.
100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16
Then:
x = 25 -y
x = 25 - 16
x = 9
So the answer is that there are 9 square tiles and 16 triangular tiles.
Answer:
30 feet
Step-by-step explanation:
To find the distance use a trigonometric ratio. Since we are looking for the hypotenuse and we are given the opposite side we will be using the ration of sine. We can set up the equation like this by using x as the measure we are looking for.
Sin of x=Opposite leg/Hypotnuse
Sin of 30= 15/x
Multiply by x and then divide by Sin of 30 to isolate the x.
x=15/Sin of 30
Plug it in to a calculator.
x=30
Answer:
see attached for diagram
a) √13
b) √29
c) 4
Step-by-step explanation:
Equation of the circle: 
⇒ center = (-1, 3)
⇒ radius = √16 = 4
Distance between 2 points formula:
a) let (-1, 3) = 
let (2, 1) = 
b) let (-1, 3) =
let (4, 1) =
c) let (-1, 3) =
let (3, 3) =
