Answer: Actually, you must use the Pythagorean Theorem!
a squared plus b squared equals c squared. So if you substitute in the values, a is 2 units and b is three units. 2 squared is 4 and 3 squared is 9.
4 + 9 = 13 so the answer is the square root of 13. (√13)
2x2-5x-3=0
Two solutions were found :
x = -1/2 = -0.500
x = 3
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 3 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-3
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
Answer:
The slope = 3/4
Step-by-step explanation:
m = 3/4
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
