<h2>
Answer:</h2>
All we need to do is solve for y.
The answer is <em>A. y = 4x + 11</em>.
Answer: 1/4096
Step-by-step explanation:
4^-2 = 1/16
4^-4 = 1/256
multiplying them gives 1/4096
<span>Answer:
First step is to find out what your x values are. The length of the interval from 2 to 14 is 12. Divide it into six equal parts, which is 2. Then the x points for the left endpoints are: 2, 4, 6, 8, 10, 12 (and the last rectangle goes from 12 to 14), but you don't use 14 unless you are doing right endpoints or trapezoids or something.)
Next step is to find the areas of the rectangles. It is just the base times the height, and the height is the function value of the x value, since the rectangle sits on the x axis and extends vertically up or down to the graph of the function. In integrals an area below the axis is considered to contribute a negative quantity to the integral, so we will do the same for rectangles that extend below the x axis.
f(2) = 3 - (1/2) 2 = 3 - 1 = 2
f(4) = 3 - 4/2 = 1
f(6) = 3 - 6/2 = 0
f(8) = 3 - 8/2 = -1
f(10) = 3 - 10/2 = -2
f(12) = 3 - 12/2 = -3
That should be in a table. Next to it you write the area, multiplied by -1 if f(x) < 0 (I'm saying that because areas are always positive.)
That gives 4, 2, 0, -2, -4, -6 for the six rectangles. Add all that up and it mostly cancels but you get -6 for the final answer.
I have explained as I went along. You do not have to explain so much when you give the answer on a test or homework. Just the computations and not so many words.</span>
Answer: 24, 10, 26 and 4.6, 5, 6.7
Step-by-step explanation: for the first triangle the square with the area 576 has side lengths of 24 because 24 is the square root of 576, the square with the area 676 has a side length of 26 because 26 is the square root of 576, and we already know the side lengths of the third triangle are 10 for the second triange we know the side length of the square with the area 21 is about 4.6 because √21 ≈ 4.6 and the square with the area 25 the side length is 5 because √25 = 5 and the last square the side length is 6.7 because √46 ≈ 6.7
Answer:
Triangle PQR
Step-by-step explanation:
