17.5
Divide 7 by 8 to get .875 and multiply that by 20 to get your answer.
1. 3p
2. -b+3
3. 6x
4. -3p
5. -4v
6. R
Step-by-step explanation:
- The area of the blue square will always equal the sum of the area of the orange and red rectangles
The pythagorian theorem:
a²+b² = c²
now let a be the side of the red triangle and b the side of the orange one
so a² is the area of the red triangle and b² is the area of the orange one
Let c be the side of the blue rectangle
so c² is the area of it
then what we concluded is right
- the hypotenuse is the blue side since it is the larger one
Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4 (Multiply the 2 by the x and the 3);
2x+6=x-4 (Now you group like terms)
2x-x=-4-6
x=-10
Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
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<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.