Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve 
and replace the result in the initial equation as:
Then, this equality apply only if the coefficient of 
is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
So, using the first equation and solving for a, we get:
Finally, replacing the value of a in the second equation and solving for b, we get:
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
Let n be a number of balls: n = 14
In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20
Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
The answer is 333.423 hope this helps u
Answer:
$113.81
Step-by-step explanation:
Find the cost for one book:
35.94 / 6 = 5.99
Multiply 5.99 with the number of books buying:
5.99 x 19 = 113.81
