Answer:
ab = 1/2.
Step-by-step explanation:
The sides of the large square have length √5 while the sides of the small one have sides of length 2.
Each corner has a right triangle with legs of length a and b and hypotenuse 2.
So we have the system
a + b = √5
a^2 + b^2 = 2^2 = 4
Using the identity a^2 + b^2 = (a + b)^2 - 2ab:
4 = (√5)^2 - 2ab
4 = 5 - 2ab
2ab = 5 - 4 = 1
ab = 1/2.
Answer:
here's a link to help as well
Step-by-step explanation:
https://www.prodigygame.com/blog/distributive-property/#exponents
Expand the equation.
Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
Combine like terms.
Solve the equation and simplify, if needed.
Answer:
-3
Step-by-step explanation:
If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.
In this case, factoring the polynomial at the top would be helpful.
The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)
The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:
-1-2 = -3
Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.
I hope this helped you.
Answer:
x = 19
Step-by-step explanation:
These are vertical angles, which means that the angle measurements are going to be the same. Set the two angle measurements equal to each other:
3x - 3 = 6(x - 10)
Simplify. First, distribute 6 to all terms within the parenthesis:
3x - 3 = 6(x - 10)
3x - 3 = 6(x) - 6(10)
3x - 3 = 6x - 60
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 3 and subtract 6x from both sides:
3x (-6x) - 3 (+3) = 6x (-6x) - 60 (+3)
3x - 6x = -60 + 3
-3x = -57
Isolate the variable, x. Divide -3 from both sides:
(-3x)/-3 = (-57)/-3
x = -57/-3 = 57/3 = 19
x = 19 is your answer.
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7/12 u need to multiply 3*4 and u keep the numerator the same
