A classic example of a difference of squares equation:
x^2 - y^2
This equation consists of two perfect squares, x^2 and y^2. It also has 2 terms. We can factor this equation like this: (x-y)(x+y). If there were more than two terms, it would look different.
Also, the equation x^2+ y^2 is unfactorable. "Difference" means something minus another thing. Therefore, one term has to have a plus sign and one term has to have a minus sign.
In your question, we have determined that A, B, and C are all true, so the letter answer is B.
The dot product is a scalar that is the sum of the product of the corresponding components.
For example,
<x1,y1,z1>.<x2,y2,z2> = x1x2+y1y2+z1z2 (scalar).
For v<6,7,-3> and w<-7,5,2>
we have
v.w=<6,7,-3>.<-7,5,2>=6(-7)+7(5)+(-3)(2)=-42+35-6=-13
9514 1404 393
Answer:
a. 21
Step-by-step explanation:
The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.
x^2 +20^2 = 29^2
x^2 = 841 -400
x = √441
x = 21
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<em>Alternate solution</em>
The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...
x^2 = 9(49)
x = (√9)(√49) = 3·7
x = 21
Assuming second number is 211 not 2011
Mean: (204+211+215+253+277+301+308+316+345+362)/10=294.9
Median: Middle value 277
Range : 362-204=158
<em>The number of walls you can build with the boards in the lumber pile is;</em>
<u><em>11 walls.</em></u>
- Number of walls to be built = 9 walls
- Measurement of each wall = 7 ft by 5 ft
- Measurement of the board in the lumber pile;
4 inches by 16 ft = 1/3 ft by 16 ft
There are 75 of these boards in the lumber pile.
Thus total area of boards in lumber pile = 1/3 × 16 × 75 = 400 ft²
Area of 1 wall that measures 7 by 5 ft is
A = 7 × 5
A = 315 ft²
Total number of walls that can be built with the lumber piles = 400/35 = 11.4 walls.
Thus, number of walls you can build is approximately 11 walls.
Read more at; brainly.com/question/10632632