Answer:
0.76
Step-by-step explanation:
-8+3=-6x^(2/3)
-5=-6 x^(2/3)
-5/-6=x^(2/3)
(2/3)√{5/6}=x
0.76=x
x=0.76
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add to both sides of the equation. b is 16, so this value becomes .
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because and .
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
Answer:
each hamburger costs $3.50
Step-by-step explanation:
he spent $13 in total and bought one hot dog for $2.50 and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equaton,
2.50 + 3h = 13 now solve for x
-2.50 2.50
3h = 10.50
h=3.50
check:
2.50+3(3.50)=13
2.50+10.50=13
13=13
Answer:
Remember that the Pythagorean's theorem says that:
For a triangle rectangle with hypotenuse H and catheti A and B:
H^2 = A^2 + B^2
Here we also need to remember that the area of a square of side length L is:
area = L^2
Now let's solve this.
First, we start with two squares, one of side length a and the other of side length b.
Such that the complete area in the first image is:
area = a^2 + b^2
Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.
in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:
area = c^2
Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:
a^2 + b^2 = area = c^2
a^2 + b^2 = c^2
And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.