9514 1404 393
Answer:
Step-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
Picture please? It’d be a lot easier just to see what your working with
21160000
just multiply every number you see but make sure you multiply the numbers inside the parentheses first
Answer:
6600 yd²
Step-by-step explanation:
The area of the scale drawing is ...
(5.5 in)(3 in) = 16.5 in²
Each square inch represents an area of the field that is ...
(20 yd)×(20 yd) = 400 yd² . . . . per square inch of drawing
Then the scale drawing represents a field with an area of ...
(16.5 in²)×(400 yd²/in²) = 6600 yd²
Answer: Answers are in the steps read carefully!
Step-by-step explanation:
A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7. The numbers -1 and -6 works out because -6 times -1 is 6 and -6 plus -1 is -7.
Now rewrite the polynomial as
3x^2 - 1x - 6x + 2 Now group it
(3x^2 - 1x) (-6x+2) Factor it by groups
x (3x -1) -2(3x -1) Now factor out 3x-1
(3x -1) (x-2) Done!
B) 2x^2 - x -3 Now the same way.You will have two numbers that their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient 2 by the constant -3. The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.
Rewrite the polynomial as
2x^2 +2x - 3x -3 GRoup them and factor them
(2x^2 + 2x) (-3x-3)
2x(x+1) -3(x+1) Factor out x+1
(x+1) (2x -3) Done!
C) 3x^2 - 16x - 12 Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.
Rewrite the polynomial
3x^2 +2x -18x - 12 GRoup them
(3x^2 + 2x) (-18x - 12) Factor them
x (3x +2) -6(3x +2) Factor out 3x+2
(3x+2) (x -6) Done !
