Answer:
64√2 or 64 StartRoot 2 EndRoot
Step-by-step explanation:
A 45-45-90 traingle is a special traingle. Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem. Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2. 2(x)^2=c^2. You then square root both sides and get c= x√2.
Therefore, the two legs are x and the hypotenuse is x√2. x√2=128 because the question says that the hypotenuse is 128. Solve for x by dividing both sides by √2. X=128/√2. You rationalize it by multiplying the numberator and denominator of the fraction by √2. √2*√2= 2.
X=(128√2)/2= 64√2 cm.
Since X is the leg, the answer would be 64√2
The answer would be -12+8i
Answer:
x = 7, y = 30 and x = 3, y = 10
Step-by-step explanation:
5x - y = 5, then y = 5x - 5
2y - x^2 = 11
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
-x^2 + 10x -10 = 11
-x^2 + 10x -21 = 0
x^2 - 10x + 21 = 0
(x - 7)(x - 3) = 0
x = 7, y = 30
x = 3, y = 10
Answer: 525kg
Step-by-step explanation:
To decrease 700kg by 25% implies
700 - 25% of 700kg
25% of 700 = 25/100 × 700kg
0.25 x 700
= 175
Therefore, to decrease 700kg by 25%, since 25% is 175kg, we subtract 175kg from 700kg
700kg - 125kg
= 525kg
Answer:
Multiplying and simplifying the term 
we get 
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify:
Simplifying the term:
While multiplying, the variables with same bases are multiplied: 
In the given question only x^2 and x^4 are variables with same bases, So we get:
So, multiplying and simplifying the term we get
Option C is correct option.
