Answer:
The system of equations is the option A
Step-by-step explanation:
Let
x ------> the number of tickets for the roller-coaster
y ------> the number of tickets for the bumper
z ------> the number of tickets for the Ferris wheel
we know that
The system of equations is equal to
<em>John</em>
2x+3y+z=42
<em>Darren</em>
3x+y+2z=36
<em>Shelley</em>
x+2y+3z=32
therefore
The system of equations is the option A
This matrix has 5 rows and 3 columns which means it is a 5x3
Answer:
a. 15/2 or 7.5 sqcm
b. 20 sqcm
Step-by-step explanation:
Area of a triangle is (base × height)/2.
A = (5×3)/2
A = 15/2 = 7.5cm^2
The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.
Area = 4×5
Area = 20 sqcm
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
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
----> by angle addition postulate
substitute the given values
