Answer:
Area covered by the fences will be 16.1 unit²
Step-by-step explanation:
Let the first parabola is represented by the function f(x) = 6x²
and second parabola by g(x) = x² + 9
point of intersection of the graphs will be determined when f(x) = g(x)
6x² = x² + 9
5x² = 9
x² = 1.8
x = ± 1.34
Now we will find the area between these curves drawn on the graph.
Area = ![\int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx](https://tex.z-dn.net/?f=%5Cint_%7B-1.34%7D%5E%7B1.34%7D%5Bf%28x%29-g%28x%29%5Ddx%3D%5Cint_%7B-1.34%7D%5E%7B1.34%7D%5B6x%5E%7B2%7D-%28x%5E%7B2%7D%2B9%29%5Ddx)
= 
= ![[\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%7D%7B3%7Dx%5E%7B3%7D-9x%5D_%7B-1.34%7D%5E%7B1.34%7D)
= ![[\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%7D%7B3%7D%28-1.34%29%5E%7B3%7D-9%28-1.34%29-%5Cfrac%7B5%7D%7B3%7D%281.34%29%5E%7B3%7D%2B9%281.34%29%5D)
= ![[-4.01+12.06-4.01+12.06]](https://tex.z-dn.net/?f=%5B-4.01%2B12.06-4.01%2B12.06%5D)
= 16.1 unit²
Option A. 5/8 is the correct answer.
Step-by-step explanation:
Square root by factorization will be used to solve this question.
Given
The square root can be applied to numerator and denominator separately
Factorization
Hence,
Option A. 5/8 is the correct answer.
Keywords: Square roots, factorization
Learn more about square root at:
#LearnwithBrainly
Cosα=x/L
x=Lcosα, we are told the ladder is 10ft and α=42.5 so
x=10cos42.5° ft
x≈7.37 ft (to nearest hundredth of a foot)
Answer:
It doesn't form a right triangle
Step-by-step explanation:
According to the Pythagorean theorem, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2 + b^2 = c^2 by substituting the three values, 10, 15, and 20 you should get an equivalent value of the hypotenuse.
10^2 + 15^2 = 20^2
100 + 225 = 400
325 =/= 400
This is false.
Since this is not equivalent, it is NOT a right triangle.
Hope this helped :)
10 + 8c= 42
subtract 10 from both sides
8c= 32
divide both sides by 8
c= 4
CHECK
10 + 8(4)= 42
10 + 32= 42
42= 42
ANSWER: c= 4
Hope this helps! :)
