Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
(x₁, y₁) - point
The formula of a slope:
From the table we have the points (-10, 8) and (10, 4). Substitute:
The equation of a line:
Answer:
option B
(−1, 0) and (0, 6)
Step-by-step explanation:
Given in the question two equations,
Equation 1
y =−x² + 5x + 6
Equation 2
−6x + y = 6
plug value of y in second equation
−6x −x² + 5x + 6 = 6
-x² -6x + 5x +6 - 6 = 0
-x² - x + 0 = 0
-x² -x = 0
-x(x+1) = 0
x = 0
and
x = -1
plug value of x in second equation to find y
x = 0
−6(0) + y = 6
0 + y = 6
y = 6
and
x = -1
−6(-1) + y = 6
6 + y = 6
y = 0
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Answer:
x = 35
Step-by-step explanation:
First, we need to add the angles on a straight line and subtract them by 180 (because angles on a straight line adds up to 180)
56 + 51 = 107
180 - 107 = 73
Now that we have found the angle of y, we can find the angle of x now. Because angles in a triangle adds up to 180, we have to add 72 and 73 now.
72 + 73 = 145
And now subtract it from 180
180 - 145 = 35
So x = 35
Answer:
the total cost is $705.77
Step-by-step explanation:
