Answer:
-p²q² + 9p² + 4q² + 24pq - 36
General Formulas and Concepts:
<u>Algebra I</u>
- Expanding by FOIL-ing (First Outside Inside Last)
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define expression</u>
(p² - 4)(9 - q²) + 24pq
<u>Step 2: Simplify</u>
- Expand by FOIL-ing: 9p² - p²q² - 36 + 4q² + 24pq
- Combine like terms: -p²q² + 9p² + 4q² + 24pq - 36
I think I got it. Correct me if I am wrong.
Parallelogram diagram I believe down below. We must find the height and then the area using Pythagorean theorem. Since the green shaded part is a 30-60-90 triangle, the base is 1/2 the hypotenuse, therefore it is 3. Now we calculate the height with it.
A^2 + B^2 = C^2
A^2 + 3^2 = 6^2
A^2 + 9 = 36
A^2 = 27
A = 3√3
Therefore the height is 3√3
Now calculate the area using A = bh
A = bh
= (12)(3√3)
= 36√3
So the area is 36√3 square units.
I cannot be sure of this answer because you did not provide a diagram.
Answer:
y = 7x - 9
slope = 7
draw on graph
x y
-3. -30
-2. -23
-1. -16
0. -9
1. -2
2. 5
3. 12
y intercepts at x= 0 which is -9
y = 3x -1
slope = 3
x y
-3. -10
-2. -7
-1. -4
0. -1
1. 2
2. 5
3. 8
y intercepts at x= 0 which is -1
for x= 2 , y = 5 in both graphs
so (2,5) is intersection point
or we can solve by equating equation
7x-9 = 3x-1
4x = 8
x=2
y = 3*2 -1 = 5
(x,y) = (2,5)
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
We can write ratios to help us solve
4x 12 +3
---------- = ------------
3x+1 12
Using cross products
4x*12 = (3x+1) * (15)
48x = 45x +15
Subtract 45x from each side
3x =15
Divide by 3
3x/3 =15/3
x=5