Perimeter is 24.
Length is 4 greater than the width.
Let's use 'x' for width
we can write this as x+4 + x+4 + x + x
x+4 being the width+4 and x being the width
There are 4 sides to a rectangle so you are adding 4 values
Two length and two widths
so we can then combine the two lengths to make 2x+8
and then combine the two widths to make 2x
Then put it together. 2x+2x+8= 4x+8
4x+8=24
Subtract 8 from both sides
4x=16
divide both sides by 4
x=4
The width is 4.
The line on the graph looks as it is increasing, it is steadily going up to the right.
So the circle is really easy to graph. All you have to do is put a point at (1,2). Then another four points: 8 to the right of the center, 8 up from center, 8 left from center, and 8 down from center. Then contect the outer points.
The parabola is a little harder. So I can't see the equation very well, but I'm going to assume your vertix is correct. So put a point at (0,0).
The focus is 4 up from the center (0,4). The directrix is the same distance from the vertix as the focus, in the opposite direction. But it'll be horizontal or vertical line. This one I, believe, is y=-4.
So the parabola will open away from the directrix and towards the focus. You need two more points to graph this.
If I remember correctly, the other two points should be 2 x the focus/directrix distance. So 8, but even with the focus. Your other two points would be (0,12) (0, -4)
Then just connect the vertix to these two points. The only thing I need to double check is the distance betwen the focus with the two points.
Answer:
The answer is 5 students taking English and Math but not History
Step-by-step explanation:
The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:
- Taking Math only
- Taking English and Math but not History
- Taking Math and History but not English
- Taking English and History but not Math
- Taking triple subjects
The number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22
Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5
Additionally, the number of students in group 1 equals that in group 2.
Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.
