Answer:
The equation of the perpendicular line would be y = -5/2x + 7
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
2x - 5y = 6
-5y = -2x + 6
y = 2/5x - 6/5
This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -5/2(x - 2)
y - 2 = -5/2x + 5
y = -5/2x + 7
There are 3.5 pounds of fruit all together
4 x 3+2 x 2+ x −7=0 ... 3.3 Find roots (zeroes) of : F(x) = 4x3+2x2+x-7. Polynomial Roots Calculator is a set of methods aimed at finding values of x
Answer:
B. a + s = 15
6a + 4s = 76
Step-by-step explanation:
The two equations you want to write are for the two resources, tickets and dollars. We want to know the numbers of adult and senior tickets, so we assign the variables "a" and "s" to those numbers, respectively. We need to keep the meaning of these variables in mind as we write the equations.
a + s = 15 . . . . the sum of the numbers of tickets is 15 (resource = tickets)
The amount spent for tickets of a given type will be the number of tickets of that type, multiplied by the cost of tickets of that type. Then 6a represents the amount spent on adult tickets ($6 each for "a" number of tickets).
6a +4s = 76 . . . the total amount Beth spent on tickets (resource = dollars)
In summary, the two equations are ...
- a + s = 15
- 6a +4s = 76 . . . . . . matches choice B
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Beth bought 8 adult tickets and 7 senior tickets.
