Plug in 2 for x, and -4 for y
2(2)² + 3(2)(-4) - (-4)²
2² = 4(2) = 8
3(2) = 6(-4) = -24
-4² = 16
8 - 24 - 16 = answer
Simplify.
answer = 8 - 40
answer = -32
-32 is your answer
hope this helps
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:
1. T
2. O
3. L
4. C
5.B
6.H
Step-by-step explanation:
Answer:
5. C - 180ft²
6. D - 120m³
Step-by-step explanation:
5.
(6.5 x 11) = 71.5
(6 x 2.5) = 15
(6 x 11) = 66
(2.5 x 11) = 27.5
6.
((7.5 x 4)/2)(8) = 120
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
