Answer:
(5, - 6)
Step-by-step explanation:
Given the 2 equations
6x + 3y = 12 → (1)
6x - 5y = 60 → (2)
Multiply (2) by - 1 and add to (1) will eliminate the term in x
- 6x + 5y = - 60 → (3 )
Add (1) and (3) term by term
(6x - 6x) + (3y + 5y) = (12 - 60)
8y = - 48 ( divide both sides by 8 )
y = - 6
Substitute y = - 6 into (1) or (2) and siolve for x
Using (1), then
6x - 18 = 12 ( add 18 to both sides )
6x = 30 ( divide both sides by 6 )
x = 5
Solution is (5, - 6)
Answer: 6 Kilometers
Step-by-step explanation:
1 kilometer = 1000 meters
6 kilometers=6000 meters
6 x 1000=6000
17) The line that is John is closer to certain but not exactly on certain so I'd say it's "likely"
18) Using that same example as the one above, if 0 means impossible, then 1 means certain. I'd place your label for Sara at 1.
19) Let s = sides of the square. There are 4 sides and all sides are equal so we can set up the equation 4s = 64. Divide both sides by 4. s = 16. Now add 2 to this. 16 + 2 = 18. The length of each side of the original square was 18.
20) If the scale is 1 cm : 1 meter and the height of the model is 16 cm, then the actual plane must be 16 meters.
21) 2x and 100 are supplementary angles meaning together they must add up to 180.
2x + 100 = 180
2x = 180 - 100
2x = 80
Divide both sides by 2
x = 40
22) Assuming 3x is supposed to be the right angle, right angles are 90 degrees.
3x = 90
Divide by 3 on both sides
x = 30.
