Answer:
11
or 39.66 units.
Step-by-step explanation:
Use the distance formula!
Answer:
0 Siblings: 4 Students
3 or more siblings: 5 students
Step-by-step explanation:
The numbers at the bottom represents how many siblings they have and the dots represent the number of studens so using this we know:
0 Siblings: 4 Students
1 Sibling: 3 Students
2 Siblings: 3 Students
3 Siblings: 1 Student
4 Siblings: 0 Students
5 Siblings: 2 Students
6 Siblings: 1 Student
7 Siblings: 1 Student
3 or more: 1 + 0 + 2 + 1 + 1 = 5
3 or more siblings: 5 students
Answer:
y=40
Step-by-step explanation:
A direct variation is a relationship between two numbers where the output equals the input times a constant.
The equation for a direct variation can be written as
y=kx
We can figure out the y value of the second coordinate by finding out what the constant (k) is. We can do that by plugging in the first coordinates into the equation.
y = kx
10 = 6k
10/6 = k
We can solve for y by plugging this constant, and the second coordinate into the equation.
y=kx
y=10/6(24)
y=40
Answer:
Option D. No solution
Step-by-step explanation:
<u>We have the equation of a line:
</u>

We find their cut points.
<em>Cut point with the y axis. (x = 0)
</em>

<em>Cut point with the x axis. (y = 0)
</em>
.
The line cuts to the x-axis at
and cuts the y-axis at
<u>We have a parabola
</u>

We can factor this quadratic equation by looking for 2 numbers that when multiplied give as result -3 and that when adding these numbers as a result -2. These numbers are -3 and 1.
Then the factors are:

The zeros are 3 and -1. So <em>the parabola cuts to the x axis at points </em><em>3</em><em> and</em><em> -1</em><em>.
</em>
<em>Now we find the cut points with the y axis. (x = 0)
</em>

<em>The parabola cuts to the axis y in y = -3.
</em>
Now we can graph the line and the parabola. Observe the attached image.
<em>The system has no solution because the line and the parabola never intersect or touch each other. The answer is the option D</em>