Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )
Answer:
the area is 26 the perimetier is 52
Step-by-step explanation:
Answer:
Area = 2x^2 + 14x + 24
Step-by-step explanation:
You could set up an expression (2x + 8) * (x + 3), where you multiply 2x by x, 2x by 3, 8 by x, 8 by 3, and then add them all up. 2x * x = 2x^2, 2x * 3 = 6x, 8 * x = 8x, and 8 * 3 = 24. 2x^2 + 6x + 8x + 24 = 2x^2 + 14x + 24, so that is your answer.
Start at point x and count down until you are in line with point y. (This will be five units). From the point you just ended at, count across until you get to point y. (This will be 9 units). Five units and nine units are the lengths of your two legs. The Pythagorean theorem is a^2+b^2=c^2. So you then take 5^2+9^2=c^2, or 25+81=c^2, or 106=c^2. Then square root each side, and get 10.2956=c. Therefore the distance between points x and y is 10.2956, or 10.3 if you choose to round.