Answer:
We need to flip the symbol at the end of the question.
answer: x<= 6.5
Step-by-step explanation:
Given inequality: 2(x-4)+5<=4(x-4)
Distribute: 2x-8+5<=4x-16
Undo a constant term from left side: 2x-3<= 4x-16
Combining the like terms: 2x-4x<=-16+3
Undo the coefficient term from left: -2x<=-13
Undo the variable term: x<=(13/2)=6.5
Now checking if this is write: Lets take x=6<6.5
Put x=6 in given inequality:
2(6-4)+5<=4(6-4)
2(2)+5<=4(2)
4+5<=8
9<=8 (which is not possible)
so we need to flip the inequality
2(x-4)+5>=4(x-4)
9>8
Answer:
Step-by-step explanation: The X-intercept is where the line touches the X line. So, it would be approximated to 0.5. The Y-intercept is where the line touches the Y line. So, it would be 1.
Answer:
Reflect over y axis and go 7 units down.
Step-by-step explanation:
It will match the triangles.
Hello!
I would say the second option, because it looks like the most reasonable one. The third and fourth options decrease, but we can see by the chart that in fact, the weight increases. Also, it wouldn't be the first option, because its showing that the wight is always constant and rate doesn't change. However, we can see that this is wrong and the rate actually does change. Therefore, the second option looks like the most reasonable for this chart.
Hope this helps!
Answer:
272.17 ft
Step-by-step explanation:
Since the angle of depression of the sighting equals the angle of elevation of the lighthouse from the boat, using trigonometric ratios,
tanθ = x/d where θ = angle of sighting, x = height of lighthouse =55 ft and d = distance of boat from lighthouse at sighting
So, d = x/tanθ
when θ = 8.1°, for the first sighting,
d₁ = 55/tan8.1 = 386.45 ft
when θ = 25.7°, for the second sighting,
d₂ = 55/tan8.1 = 114.28 ft
The distance the boat traveled between the two sightings is thus d₁ - d₂ = 386.45 ft - 114.28 ft = 272.17 ft