Since y=-1 when x=0 and we can write the equation (we'll turn it into an inequality later) as y=mx-1 from y=mx+b by plugging (0,1) in. Next, y equals 2 when x=1, so we plug those in to get 2=m*1-1. Adding 1 to both sides, we get 3=m, making our equation y=3x-1 (since y and x stay variables). Lastly, we turn it into an inequality, It seems to be inclusive to the line, so it's either
3x-1≤y or 3x-1≥y. Finding a random point in the inequality (4, 1), we plug it in to get 12-1=11, which is clearly larger than 1, so we get 3x-1≥y.
Answer:
20:21
Step-by-step explanation:
Let's first start by converting each ratio so that the number of girls is the same
2:3
4:7
The least common multiple of 3 and 4 is 12 so...
8:12
12:21
We add 8 and 12 to get the number of junior members...
8+12=20
Then we put it in a ratio with the amount of adult members...
20:21
Answer:
<u>13 inches</u>
Step-by-step explanation:
- <u>Area of fabric</u> : 117 square inches
- <u>Height</u> : 18 inches
- Base x Height x 1/2 = Area (Fabric)
- Base x 18 x 1/2 = 117
- Base x 9 = 117
- Base = <u>13 inches</u>
Answer:
A. 7
Step-by-step explanation:
Since the triangle sides are not defined, therefore let the base side have the 12 unit and one of the slant side be 7 unit.
Therefore height of the triangle, h can gotten from the Pythagoras theorem as thus:
7² = (12/2)² + h²
49 = 36 + h²
h² = 49 - 36 = 13
h = √13
knowing the height of the triangle, we can apply same rule to the other unknown slant side, x as thus:
x² = (12/2)² + h²
x² = 36 + 13 = 49
x = √49
x = 7