Answer:
Step-by-step explanation:
20/6 - 4/6= 16/6= 2 4/6= 2 2/3
Answer:
x = 12.5
Step-by-step explanation:
By Pythagoras'
16² = 10² + x²
x² = 16² - 10²
x = √(16² - 10²)
x = 12.489...
x = 12.5 (nearest tenth)
Answer:
8 cm^2
Step-by-step explanation:
If the triangle is isosceles the sides are the same
Let the sides be x
We know that we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2+x^2 = (4 sqrt(2))^2
2x^2 =16(2)
2x^2 = 32
Divide by 2
2x^2/ 32/2
x^2 = 16
Taking the square root of each side
sqrt(x^2) = sqrt(16)
x = 4
The area of the triangle is
A =1/2 bh
A = 1/2 (4) (4)
A = 1/2(16)
A = 8
Answer:
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Equation of the line:
when x is 6:
Answer:
<h2>(f · g)(x) = 4x³ + 4x²</h2>
Step-by-step explanation:
(f · g)(x) = f(x) · g(x)
We have f(x) = 4x² and g(x) = x + 1. Substitute:
(f · g)(x) = (4x²)(x + 1) <em>use the distributive property</em>
(f · g)(x) = (4x²)(x) + (4x²)(1)
(f · g)(x) = 4x³ + 4x²