Answer:
y = 1/2x
step-by-step explanation:
first find the y-intercept or b
it is 0
next find the slope, rise/run
it is 5/10 or 1/2x
putting those in the equation it would be
y = 1/2x
because the y-intercept is 0 you wouldn’t add it
<h2>
Answer:</h2>
Luke does a work of 308Nm
<h2>
Step-by-step explanation:</h2>
If we have a constant force 
that acts on a body in the same direction as the displacement 
, then the work 
is defined as the product of the force magnitude 
and the displacement magnitude 
. In other words:
, which is valid for a constant force in direction of straight-line displacement.
In this problem:
Therefore:
Answer:
about 252.78 ft
Step-by-step explanation:
Define angle QMP as α. Then ...
MN = 60·sin(α)
NP = 60·cos(α)
area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)
__
PQ = 60tan(α)
area MPQ = (1/2)(MP)(PQ) = 1800tan(α)
__
The ratio of areas is 2.5, so we have ...
1800tan(α) = 2.5·1800sin(α)cos(α)
1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)
cos(α) = √0.4 . . . . . . solve for cos(α)
__
Then the perimeter is ...
Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)
= 60(sin(α) +cos(α) +tan(α) +sec(α))
= 60(0.774597 +0.632456 +1.224745 +1.581139)
= 60(4.212936) = 252.776
The perimeter of the trapezoid is about 252.776 feet.
_____
With perhaps a little more trouble, you can find the exact value to be ...
perimeter = (6√10)(7+√6+√15)
1. The 2nd number line represents the inequality.
Explanation:
In words, the inequality reads "negative six is less than x, which is less than or equal to two". On the number line, the open circle at negative six means that -6 is not a solution to the inequality: -6 < x. The point at positive two means that positive two is a solution to the inequality: x ≤ 2. Therefore, all numbers greater than -6 and less than or equal to +2 are solutions to the inequality. This is shown on the second number line.
2. False
Explanation:
In words, the inequality reads "x is less than negative five". This means that all numbers less than -5 are solutions to the inequality. Positive four is not less than negative five, so it is not a solution to the inequality.
3. x > 2
Explanation:
To solve the inequality, we have to move all the terms that do not contain x to one side. This inequality is simple because it only requires one step: subtraction.
Solve for x: x + 3 > 5
1. Subtract 3 from both sides to get x by itself:
x + 3 - 3 > 5 - 3
2. Simplify
x > 2
Answer:
I think it is A but not 100% sure.
Step-by-step explanation:
