if we look at the equation y = -2x - 1, is already in slope-intercept form, therefore,
has a slope of -2.
now, parallel lines have exactly equal slopes, therefore a parallel to that one above, will have also a slope of -2, so we're really looking for a line whose slope is -2 and runs through -1, 7.
![\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{7})\qquad \qquad \qquad slope = m\implies -2\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=-2[x-(-1)]\\\\\\y-7=-2(x+1)\implies y-7=-2x-2\implies y=-2x+5](https://tex.z-dn.net/?f=%20%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-1%7D~%2C~%5Cstackrel%7By_1%7D%7B7%7D%29%5Cqquad%20%5Cqquad%20%5Cqquad%20slope%20%3D%20%20m%5Cimplies%20-2%5C%5C%5C%5C%5C%5C%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-7%3D-2%5Bx-%28-1%29%5D%5C%5C%5C%5C%5C%5Cy-7%3D-2%28x%2B1%29%5Cimplies%20y-7%3D-2x-2%5Cimplies%20y%3D-2x%2B5%20)
Answer: 15L of Orange
10L of Apple
20L of Coconut
Step-by-step explanation:please see attachment for explanation
1.BD=AC
AC^2=(9^2)+(6^2)-2(9)(6)COS115
AC^2=117-108COS115
AC=√71.358
AC=8.447//
Answer:Number of small boxes shipped = 8
Number of large boxes shipped = 13
Step-by-step explanation:
Step-by-step explanation:
Let x be the number of small boxes and let y be the number of large boxes
According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21
According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110
Use the substitution method for solving the equation
Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13
Putting the value of y in equation 1
x+13 = 21
X = 8
Number of small boxes shipped = 8
Number of large boxes shipped = 13
You find the perimeter by adding all of the side lengths.
Hope this helps!