Factor out the 4 in both equations
8a^2-20^2=(2^2 times a^2 times 2)-(2^2 times 5)
therefor it is also equal to
(2a)^2 times 2-(2^2 times 5)
we can force it into a difference of 2 perfect squares which is a^2-b^2=(a-b)(a+b)
(2a√2)^2-(2√5)^2=((2a√2)-(2√5))((2a√2)+(2√5))
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
<span>Sample answers are 1/9, 1/10, etc.
Explanation:
To write a fraction less than 1/8, you can keep the numerator 1 and make the denominator any number greater than 8. 1/8 is the same as one part out of 8. Imagine having many pizzas the same size, but cut into different numbers of pieces. 1 piece out of 8 would be a bigger piece than 1 piece out of 9, out of 10, or anything more than 8.</span>
Answer:
29.5 square inches
Step-by-step explanation:
Let's divide the shape into 3 parts to make it easy for us to find the area.
- a wide triangle
- a triangle
- a shorter rectangle
For the wider rectangle, the area is;
A1 = 8 × 2 = 16 in²
For the triangle, the area is;
A2 = ½(7 - 2) × 3
A2 = 7.5 in²
For the shorter rectangle, the area is;
A3 = 3 × 2
A3 = 6 in²
Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches
Answer:
The 3rd answer i think
Step-by-step explanation:
