Answer:
-72=-12y-20x
Step-by-step explanation:
-72=2y^2-16y-20x
square the 2 keeping the variable
-72=4y-16y-20x
Then combine like terms in this case the numbers followed by y's
-72=-12y-20x
This is the standard form as there is nothing else you can combine to break this down any further
A trick that is good for multiplying 9's is, remember that each time the tens digit changes the number in the ones spaces minuses 1. If you don't understand what I am saying look at the following:-
9
18
27
36
45
54
63
72
81
See the pattern? In the tens place you need to add 1 and in the tens place you need to subtract by 1.
Hope I helped ya!! xD
Call the width of the rectangle x. Call the length of the rectangle x + 2. The area of the rectangle would be the length times the width. We know this is 15 square inches. Set up the equation and solve for x.
(x +2)x = 15
x2 + 2x = 15
x2 + 2x - 15 = 0
Factor the quadratic equation:
(x - 3)(x + 5) = 0
x = 3 or x = -5
Since length can't be negative, discard the answer -5.
If x = 3, then the width is 3 and the length is x + 2 or 5. 5 x 3 = 15 which equals the area.
<span>C. tan P is the answer to your question </span>
Answer:
The right statement is sin(J) = cos(L) ⇒ answer D
Step-by-step explanation:
* Lets describe the figure
- LKJ is a right triangle, where K is a right angle
∵ m∠K = 90°
∵ LJ is opposite to angle K
∴ LJ is the hypotenuse
∵ LJ = 219
∵ KJ = 178
- By using Pythagoras Theorem
∵ (LJ)² = (LK)² + (KJ)²
∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides
∴ (LK)² = (219)² - (178)²
∴ (LK)² = 16277
∴ LK = √16277 = 127.58
* Lets revise how to find the trigonometry function
# sin Ф = opposite/hypotenuse
# cos Ф = adjacent/hypotenuse
# tan Ф = opposite/adjacent
∵ LK is the opposite side to angle J
∵ LJ is the hypotenuse
∵ sin(J) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ sin(J) = 127.58/219 = 0.583
∵ LK is the adjacent side to angle L
∵ LJ is the hypotenuse
∵ cos(L) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ cos(L) = 127.58/219 = 0.583
∴ sin(J) = cos(L)
* The right statement is sin(J) = cos(L)
