Answer:
Option b (1/2,1/3)
Step-by-step explanation:
we have
2x-3y=0 ------> equation A
4x+6y=4 -----> equation B
Solve the system by elimination
Multiply equation A by 2 both sides
2(2x-3y)=2(0)
4x-6y=0 ------> equation C
Adds eqution B and equation C
4x+6y=4
4x-6y=0
-------------
4x+4x=4+0
8x=4
x=1/2
Find the value of y
2x-3y=0
2(1/2)-3y=0
1-3y=0
3y=1
y=1/3
the solution is the point (1/2,1/3)
Let 3<em>n</em> + 1 denote the "number" in question. The claim is that
(3<em>n</em> + 1)² = 3<em>m</em> + 1
for some integer <em>m</em>.
Now,
(3<em>n</em> + 1)² = (3<em>n</em>)² + 2 (3<em>n</em>) + 1²
… = 9<em>n</em>² + 6<em>n</em> + 1
… = 3<em>n</em> (3<em>n</em> + 2) + 1
… = 3<em>m</em> + 1
where we take <em>m</em> = <em>n</em> (3<em>n</em> + 2).
1. No
2. No
3. Yes
4. No, it’s actually 24j -36
Answer:
432
Step-by-step explanation:
b x h (base x height)
the base is 27 yards and the height is 16.
27 x 16 = 432
Answer:
x = 38.2°
Step-by-step explanation:
<u> sin 27° </u> = <u> x° </u>
11 15
15 · (sin 27°) = 11 · x°
cross-multiply:
6.81 = 11x
6.81 / 11 = x
x = 0.619
sin^-1 (0.619) = 38.2°