Ths system of equations is
<span>8x+6y=48 ..............>y = 48/6 -8x/6
2x−3y=−6 ..............>y = 6/3 + 2x/3
If we use a graphic tool, we can easily check the solution,
which is
(x,y) = (3,4)
The ordered pair lies in Quadrant I</span>
Answer:
Mean absolute deviation. The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset
Step-by-step explanation:
Hope this helps
Answer:
7x + 3y = 44
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides
7y = 3x + 5 ( divide all terms by 7 )
y =
x +
← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (5, 3) into the partial equation
3 = -
+ c ⇒ c = 3 +
= 
y = -
x +
← in slope- intercept form
Multiply through by 3
3y = - 7x + 44 ( add 7x to both sides )
7x + 3y = 44 ← in standard form
Answer:
36 cups of water
Step-by-step explanation:
Make a proportion, where x is the number of cups of water needed:
= 
Cross multiply and solve for x:
2x = 72
x = 36
So, 36 cups of water will be needed
Answer:
1 + cosa sina
Step-by-step explanation:

cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then

=
← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina