Answer:
the equations are dependent; both describe the line y = 2x -6
Step-by-step explanation:
Remove the common factor of 5 from the first equation and you have ...
2x -6 = y
Subtract 6 from the second equation and you have ...
2x -6 = y
The two equations are the same, so describe the same line. The solution set is all points on that line. The equations are dependent, and have an infinite number of solutions.
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
Answer:
(86 – h) + h = 86
Step-by-step explanation:
$70+$260= $330
34 lemonade + 52 hot dogs = 86 items = $330
With 34 lemonade + 52 hotdogs h= 52
(86 – h) + h = 86 = 86-52+52=86
Answer:
Step-by-step explanation:
REF: 060309a
ANS:
(9,−2)
(x,y)-->(x+5,y-4)
Answer:
87.92 m
Step-by-step explanation:
Formula for the circumference of a circle (which is what you're finding with this problem) is pi d
Pi being 3.14 and d being the diameter
Since the radius is 14 the diameter is 2 times that , 28m
Now just multiply 28 and 3.14 which gives you 87.92
