1) BC intercept y at (2,1) (given)
2) The slope of AB ===> m= (-1 - 1)?(14 - 2) ===> m = - 1/6
2) the slope of BC that is perpendicular to AB is the inverse of (1/6) & change the sign, that is 6. To find the function y, apply the formula:
y-y1) = m(x-x1) ===> y-1 = 6(x-2) [the coordinate of B] ==> y= 12x - 11
3) if y= 13, replace y by 13 in the equation:
13 = 12x -11 ===>x = 2
Answer :36 explanation: (39x39)-(15-15)=1296 then square root that and get 36
Answer:
5 units
Step-by-step explanation:
The distance from a point (m, n ) to the line Ax + By + C = 0 is given by
d = 
For the point (- 1, 3 ) , with m = - 1 and n = 3
3x - 4y = 10 ( subtract 10 from both sides )
3x - 4y - 10 = 0
with A = 3 , B = - 4 , C = - 10
d = 
= 
= 
= 
= 5
By solving a system of equations, we will see that you must use 6.67 pounds of chocolate-covered almonds.
<h3>
How to solve the system of equations?</h3>
First, we need to define the two variables:
- x = number of pounds of the $9.99 chocolate-covered almonds used.
- y = number of pounds of the $5.99 chocolate-covered raisins used.
If we mix that, we will get:
x*$9.99 + y*$5.99 = (x + y)*C
That equation means that the cost of the individual elements of the mixture, must be equal to the total cost of the mixture. Where C is the cost of each pound of the mixture, and we know that:
C = $8.75
y = 3
Replacing that, we get:
x*$9.99 + 3*$5.99 = (x + 3)*$8.75
Now we can solve that for x:
x*$9.99 - x*$8.75 = 3*$8.75 - 3*$5.99
x*$1.24 = $8.28
x = $8.28/$1.24 = 6.67
Then you must use 6.67 pounds of the chocolate-covered almonds.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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