Answer:
Step-by-step explanation:
<u>The first equation:</u>
<u>The second equation:</u>
<u>Convert to slope-intercept form:</u>
- x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.5
- 2x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
- Adult tickets cost $9
- Child tickets cost $7
Answer:
2x in common (slope)
Step-by-step explanation:
similar because they both have a slope of 2
different because the 2nd equation has a y intercept of 3
Answer:
x = 4
Step-by-step explanation:
Equation: 3x + 13 = 25
Step 1: Subtract 13 from both sides.
3x + 13 = 25
<u>- 13 - 13</u>
3x = 12
Step 2: Divide both sides by 3.
<u>3x</u> = <u>12</u>
3 = 3
x = 4
You turn the percentage to a decimal which is 75%=0.75
Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
