The equation of the parabola whose focus is at (7, 0) and directrix at y = -7 is
(x-7)^2 = 14(y + 7/2)
Hope this helps
For the scale factor, use the dimensions from similar sides:
Using 18 from the original image you would use 6 from the scaled image.
18 /6 = 3
This means the scaled image is 3 times smaller than the original. Because the scaled image is smaller divide 1 by the scale factor to get 1/3.
Q2:
The scale factor is 1 inch = 12 miles.
Multiply the total inches by 12:
6.5 x 12 = 78 miles.
The answer is 2.
This is because the line crosses the x axis in 2 different places.
Hope this helps!
Answer:
<h2>£8.77</h2>
Step-by-step explanation:
100 - 16 = 84
84 / 100 = 0.84
10.44 x 0.84
=8.77
Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
