The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.
<h3>
What is the calculation for the solution above?</h3>
Recall that the area of the entire wall is 40m².
(10-2x) (16- 2x) = 40
Expanding the brackets, we have
160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0
Using the quadratic equation
x = (-b±√b²-4ac)/2a
Where a = 1
b = 13
c = 30
x = (13 ± 7)/2
Thus x = 10; or x = 3.
x cannot be the answer because it invalidates 16-x<0;
Hence, the correct answer is x = 3
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Okay so you would line them up then you would multiple 5 and 0 then 7 and 5 and then you add a 0 then you would get the answer 350 then you would multiply the same numbers then the answer you would get is 3500 then you add 3500+350=3850
Answer:
C. Centroid
Step-by-step explanation:
The circumcenter is the center of a triangle's circumcircle (circumscribed circle over triangle). It can be found as the intersection of the perpendicular bisectors.
The incenter is the center of the incircle (inscribed circle into a triangle) of a triangle. The incenter can be constructed as the intersection of angle bisectors.
Centroid is the point where the three medians of the triangle intersect.
The intersection of the three altitudes of a triangle is called the orthocenter.
Since three medians intersect at point which divides each median into 2:1 ratio, the answer is centroid.
City A and City B are about 76.5 miles apart because 51*1.5 = 76.5
Answer:
Step-by-step explanation:
If the new fraction is 8/12 I will show how to find it.
Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.
Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12. Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.
Now we just use algebra.
x/(x+4) = 8/12
12x = 8(x+4)
12x = 8x + 32
4x = 32
x = 8
So the original fraction (x-4)/x = (8-4)/8 = 4/8
