Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = 
cos(50)° = 
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = 
sin(23)° = 
a = 15sin(23)°
a = 5.86
An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.
You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.
y = mx + b
1 = 4(-2) + b
1 = -8 + b
9 = b
Now we can use that and the slope to create the equation y = 4x + 9
Formula:
<span><span>
</span>
<span>
<span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span>
</span>
<span>
Example:
<span>How many different committees of 4 students can be chosen from a group of 15?
</span>
</span>
<span>
Answer:
<span>There are possible combinations of 4 students from a set of 15.</span>
</span>
<span>
<span>
There are 1365 different committees.</span></span></span>
Question 1:
For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels
Question 2:
For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230
The answer is
(2n-3)(n+3)
i hope this helps :)
