Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
Answer:
Total number of people in the concert
= 186
Step-by-step explanation:
There are 80 people in level 2
Then in level one
The dimensions of the room are 62 feet by 31 feet.
15 people fit in a 3 feet by 6 feet space.
Area of the room= 62*31= 1922 feet²
area of 15 people space= 3*6= 18 feet²
To know how many 15 people we get in the 2nd level
=Area of room/area of 15 people space
= 1922/18
= 106.77
= 106 (we round down because this is human being.)
Total number of people in the concert
= 106+80
= 186
Answer: Ox=3,y=11 Ox
Step-by-step explanation:
Answer:
1: $53750
2: $15975
3: 40
4: 90
5: 51
6a: 20%
6b:204
Step-by-step explanation:
1: to calculate this mulitply 50000*1.075= 53750
2: same deal 15000*1.065=15975
3: We have a ratio of 3:2 and then 60:x because we multiplied the first ratio by 20 to get the 60 in the second we multiply the 2 by 20 as well and get x=40
4: This one is kind of tricky. we know that there are 4 dogs for every 3 cats. We also know that there are 210 animals. This means that 4x+3x=210 solve this and get x=30 you then multiply the ratio 4:3 by 30 and get 120:90
5: 1/5*255=51
5a: 1/5=.2=20%
5b: 255-51=204
I tried because I'm in 6th grade sorry
the answer is but it is pie because 2.666666666
