y = - 7x - 20
the equation of a line in ' slope- intercept form ' is
y = mx + c → (m is the slope and c the y- intercept)
here m = - 7 ⇒ y = - 7x + c
to find c substitute ( - 4 , 8 ) into the equation
8 = 28 + c ⇒ c = 8 - 28 = - 20
y = - 7x - 20 → equation in slope- intercept form
Answer:
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
We can write Bailey's equation as:
29 + 1.50x
and Riley's equation as:
20 + 2x
Where
x is the number of magazines sold
Since Riley sold 12, her total pay for that day would be:
20 + 2x
20 + 2(12)
20 + 24
$44
Now, how many magazines Bailey need to sell? We equate Bailey's equation to 44 and find x:
29 + 1.5x = 44
1.5x = 44 - 29
1.5x = 15
x = 15/1.5
x = 10
hence, Bailey need to sell 10 magazines to make same money as Riley
Answer: Y = 3/4x + 3
Step-by-step explanation:
If two lines are perpendicular, then the product of the two slopes should be -1.
First change 4x + 3y = 7 to Slope intercept form
(4x - 4x) + 3y = 7 - 4x
3y/3 = 7/3 - 4/3x
Y = -4/3x + 7/3 ( -4/3 is the slope)
Then find the slope of line n
-4/3 x S = -1
(-3/4 x -4/3) x S = -1 x -3/4
S = 3/4
Slope of line n is 3/4
Next find the Y-intercept of line n
Since line n contains (2,3) we can use 3 as the y-intercept of line n
Hence, the equation of line n is Y = 3/4x + 3
19/45 is 0.42222222 if you round that to the nearest thousandth you get 0.422.
