Answer: B. 5root(3)
Use Pythagorean’s theorem to solve this problem. We know one side and the hypotenuse, so we can solve for the other side.
a² + b²= c²
5² + b² = 10² (plug in 5 for one side, and 10 for the hypotenuse)
25 + b² = 100 (square 5 and 25)
b² = 75 (subtract 75 from both sides)
b=√(75) (take the square root of both sides)
b=√(25*3) (factor out a square)
b=5√(3) (simplify radical)
It's simple.
you just subtract the bigger number from the smaller number.
68.7-58.2
let me know if you need further help
We can answer this question by solving each equation for one variable, and then substituting.
3x + y = 11 Given
y = -3x + 11 Subtract 3x from both sides
This equation is now solved for y. Now, let's do the other equation. Make sure to solve it for the same variable.
-2x + y = 1 Given
y = 2x + 1 Add 2x to both sides
Now, let's set both equations equal to each other, since they both equal y.
2x + 1 = -3x + 11 Set both equations equal to each other
1 = -5x + 11 Subtract 2x from both sides
-10 = -5x Subtract 11 from both sides
2 = x Divide both sides by -5
Now, let's substitute x in for one of the equations we found earlier, so that we can find y.
y = 2x + 1 Given
y = (2)(2) + 1 Substitute the x-value, 2
y = 4 + 1 Multiply
y = 5 Add
So, x = 2 and y = 5.
Hope this helps!
Answer:
k=4
Step-by-step explanation: