Answer:
Step-by-step explanation:
We can solve this system just by summing each side of the equation:
So, both left sides will be sum, and both right sides too.
The resulting expression will be:
Ordering and solving both sides:
Hence, the value to the system is
It's important to combine both equation, because the exercise is asking for the solution of the system.
<h3>
Answer: 11.2 inches</h3>
Work Shown:
(real height)/(scale height) = (real length)/(scale length)
(10 feet)/(8 inches) = (14 feet)/(x inches)
10/8 = 14/x
10x = 8*14
10x = 112
x = 112/10
x = 11.2 inches
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Step-by-step explanation:
General line equation: y = mx + c.
2y + 3x = 5
2y = -3x + 5
y = -1.5x + 2.5
Hence m = -1.5 and c = 2.5.
Answer:
4 x 13
Step-by-step explanation:
GCD of 28 and 24 is 4
28 = 4 x 7
24 = 4 x 6
u take the 4 out
4 (7 + 6)
4 x 13
