Answer:
√2 + x
Step-by-step explanation:
To obtain the hypotenus, h:
Using Pythagoras rule :
h² = opposite² + Adjacent²
Opposite = √2
Adjacent= x
h² = (√2)² + x²
Take the square root of both sides
h = √2 + x
Hence, the hypotenus is √2 + x
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
Answer:
-24 x^7
Step-by-step explanation:
(-2x^2)^3 ·3x
(-2x^2) (-2x^2) (-2x^2)*3x
-8 x^6 *3x
-24 x^7
<h2>Greetings!</h2>
Answer:
≅ 586.8
Step-by-step explanation:
Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.
The total perimeter is:
(2 * x) + (2 * 5x) because each side has another parallel one.
This means that 2x + 10x = 130
12x = 130
Divide both sides by 12:
x = 
So the area = length * width
x * 5x = area
Substitute the values in:
= 586.8055... ≅ 586.8
So the approximate area is 586.8
<h2>Hope this helps!</h2>
Answer:
About $0.24 per sock
Step-by-step explanation:
12 pairs = 24 socks
5.79/24 = 0.24125
