Answer:
X=5, Y=0
Step-by-step explanation:
-9Y +4X -20=0
-7Y+16X-80=0
1. We can multiply the first equation by 4. This will equal to -36Y +16X-80=0.
-36Y +16X -80 =0
-7Y+16X-80=0
2. We can subtract these two equations.
-36Y +16X -80 =0
-7Y+16X-80=0
We will get -29Y =0. Y=0.
3. Then we can substitute y into the first equation. -9(0) +4x-20 =0. 4x=20. x=5
X=5, Y=0
Answer:
A=102 and B=0
Step-by-step explanation:
Sub values for X and Y into equation, put into your calculator and you will get the correct answer.
Answer:
A
Step-by-step explanation:
The picture below illustrates a hyperbola.
The intersecting plane does not pass through the vertex of a right circular cone (the vertex of the cone is the point where two nappes meet).
As you can see from the diagram, the plane intersects both nappes of a right circular cone.
Hence, correct option is option A: The plane does not pass through the vertex and intersects both nappes of a right circular cone.
Answer:
The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.
Step-by-step explanation:
Rate of senior tickets to adult tickets:
Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.
The first night, 19 Senior tickets and 57 Adult tickets were sold.
19 out of 19 + 57 = 76. So
19*100%/76 = 25%
The second night, 20 Senior tickets and 62 Adult tickets were sold.
20 out of 20 + 62 = 82. So
20*100%/82 = 24.39%
25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.
First of all, the left triangle is an equilateral triangle. Which means that all the interior angles are 60 degrees.
4w=60
w=15
Then all 3 sides are equal thus we can set up equation 3x-y=4y then simplify,
3x=5y
Going to the triangle on the right its isosceles we can set up equation 2x+50=180
2x=130
x=75
Substitute this back into equation above 3x=5y
5y=3*75
y=45
Therefore
x=75
y=45
w=15
Done!
