Answer:
D. 60
Step-by-step explanation:
4(3x + 3) = 5(x + 8) 12(4) + 12 5(4) + 40
12x + 12 = 5x + 40 48 + 12 20 + 40
-5x -5x 60 60
7x + 12 = 40
-12 -12
7x = 28
x = 4
Answer:
(x+2)(x+8)
Step-by-step explanation:
1.)find factors of the third expression(16)that will add up to give the second expression(10)
16=2×8. 10=2+8
2.)substitute those factors inplace of 10
3.)factorise using grouping method
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
11, 3, -3, -12
Hope this helps :)
