Answer:
h = 6
Step-by-step explanation:
Given the 2 equations
- 3x + 4y = - 30 → (1)
9x + 5y = 39 → (2)
We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations
Multiply (1) by 5 and (2) by - 4
- 15x + 20y = - 150 → (3)
- 36x - 20y = - 156 → (4)
Add (3) and (4) term by term thus eliminating y
- 51x = - 306 ( divide both sides by - 51 )
x = h = 6
Answer:
a. 7.54385 in^2
Step-by-step explanation:
surface area equation = 3.14 * r^2
diameter is 2 times radius
x=3.14 (1.55^2)
x=7.54385 in^2
Answer:
the first one and the third one
Step-by-step explanation:
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
