Answer:
Step-by-step explanation:
Note that √2x = √2*√x, and so we have √2*√x + 13 = √x + 31.
First subtract 13 from both sides, obtaining: √2*√x = √x + 18.
Next, group the √x terms together: √2*√x - √x = 18.
Now solve this for √x. We get:
√x(√2 - 1) = 18, or
18
√x = --------------
(√2 - 1)
To find x, square both sides:
18^2
x = ---------------
(√2 - 1)^2
3 casseroles feeds 15 people
The ratio is 3:15
If you divide each of those by 3, youll find that 1 casserole feeds 5 people
1 : 5 is the ratio.
Divide 30 by 5 = 6
6 casseroles feeds 30 people.
6 : 30
35 divided by 5 = 7
7 casseroles feed 35 people
7 : 35
Considering the equation of the parabola, the directrix is: x = 1.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of an horizontal parabola, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
The directrix is at x = h - p.
For this problem, the equation is:
(y + 3)² = 8(x - 3).
The relevant coefficients for this problem are:
4p = 8 -> p = 2, h = 3.
Hence the directrix is:
x = h - p = 3 - 2 = 1.
More can be learned about the equation of a parabola at brainly.com/question/17987697
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The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.
The ratio is the representation of the fraction where the fraction is represented by : symbol.
In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.
Here given two ratios are 7:16 and 6:8.
The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.
similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.
As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.
Then multiply 2 in both denominator and numerator of 6:8 will be
6/8= 12/16
Now comparing between 12/16 and 7/16
12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.
Then 6:8 is also greater than 7:16.
So by checking all the options
Option A is correct: from above i is clear that the ratio 7 to 16 should show 7 cells shaded.
Option D is correct: 6:8 is also greater than 7:16.
Learn more about ratio
here: brainly.com/question/2328454
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