Answer:
X=6 and Y=3
Step-by-step explanation:
Use SOHCAHTOA, SOH, Sin=Opposite/Hypotenuse, Therefore Sin60°=(3√3)/x ; Xsin60°=3√3 and Sin60° without using 4figuretable or calculator is √3/2, Now x=3√3 ÷√3/2 ;. therefore X=3√3×2/√3= 6. X=6 . Using Pythagoras theorem, 6²={(3√3)² +y²}. Y²= 36-27=9. Y=√9, Y=3. Therefore X=6 and Y=3.
Answer:
Step-by-step explanation:
From the given information, we already know two points the line intersects. It states that the line has a y-intercept of 3. The y-intercept is the point at which the line intersects the y-axis. Thus, the line also intersects (0,3). (Remember that all points on the y-axis have an x-value of 0.) Now we have enough information to write an equation.
1) Find the slope of the line with the slope formula,
. Substitute the x and y values of (-5,2) and (0,3) into the formula and solve:

So, the slope of the line is
.
2) Now we can write the equation in slope-intercept form, represented by the formula
. Substitute values for
and
in the formula.
The
represents the slope, so substitute
for it. The
represents the y-intercept, so substitute
for it. This gives the following answer and equation in slope-intercept form:

Combination Formula: (n = distinct objects, r = how many you pick) n!/(r!(n-r)!
So n = 7, r = 5
n! = 7! = 5040
R! = 5! = 120
(n-r) = 2! = 2
120*2=240
5040/240 = 21
21 combinations!