Answer:
Let’s rewrite both expressions first
y=3/2x+3
-3x+2y=6
The first expression is already plotted on the graph, so we only need to work on the second one.
Let’s turn the second equation into slope-intercept form. We can later use this to graph.
-3x+2y=6
*add 3x on both sides*
-3x+2y=6
+3x +3x
__________
2y=3x+6
*divide each number by 2*
2y=3x+6
2y/2=3x/2+6/2
y=3/2x+3
Since this is the same equation as the one graphed, it means there are an infinite number of solutions. If one were to graph this, the points would be the same as the original.
Hope this helps comment below for more questions :)
First calculate the missing angle

. By knowing all angles in triangle have a sum of 180°.


Now we required to use angle functions in a right triangle. The cosine of

is equal to the relation of side

and hypotenuse

.
Now we solve this for hypotenuse.


Now put in the numbers.

So we know the length of hypotenuse and length of side

therefore side

can be calculated using Pythagorean theorem:

.
Solve for side

.



So there you go. If you have any questions feel free to ask.
r3t40
Answer:
x = 4
Step-by-step explanation:
6^5x-4=6^4x
6^ (5x-4) = 6^ (4x)
Dividing through by 6
5x - 4 = 4x
Collecting Like Terms
5x - 4x = 4
x = 4
40,619,000 = forty thousand six hundred nineteen
Answer:
y = 6
Step-by-step explanation:
If x varies inversely proportional as y.
, k is constant of proportionality
or
k = xy
When x = 3 and y = 10
k = 3×10
k = 30
Put x = 5,

So, the value of y is 6 when x is 5.