Answer:
J < T - 5
Step-by-step explanation:
T = The number of juice boxes Thomas had
J = The number of juice boxes Thomas gave to his sisters
Thomas had 12 juice boxes
T = 12
He gave some to his sisters he now has more than 5 left.
T - J > 5
-J > 5 - T
J < -5 + T
J < T - 5
Answer:
Step-by-step explanation:
There were three boxes of parts. one weighed 10 pounds, and you know the other two weigh the same. All three together weigh 30 pounds. How much do the two weigh?
Answer: The factors of 98 are 1, 2, 7, 14, 49, 98
Step-by-step explanation:
1 x 98 = 98, 2 x 49 = 98, 7 x 14 = 98, 14 x 7 = 98, 49 x 2 = 98
Hope this helps fren <3
Answer:
71.6056
Step-by-step explanation:
c² = a² + b² - 2abcosC°
29² = 30² + 15² - 2(30)(15)cosC°
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2