Answer:
Step-by-step explanation:
<u>We know that:</u>
- Samantha = 15 + 2x
- Matt = 3 + 4x
- Samantha = Matt
- [x = Number of hours]
<u>Solution:</u>
- 15 + 2x = 3 + 4x
- => 15 - 3 = -2x + 4x
- => 12 = 2x
- => x = 6
Hence, after 6 hours of work, Samantha and Matt will have the same amount.
A branch of mathematics that uses variables is algebra
1 < or equal to - v
- 1 > or equal to v
Answer:
The perpendicular line would be y = -2x - 4
Step-by-step explanation:
First we must solve the original equation for y.
x - 2y = 7
-2y = -x + 7
y = 1/2x - 7/2
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x + 3)
y - 2 = -2x - 6
y = -2x - 4
The vertex is the highest point on a downward-opening parabola or the lowest point on an upward-opening parabola.
