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NNADVOKAT [17]
3 years ago
12

Select all the expressions that are equivalent to 4 - x.

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer

4+(-x),-x+4

Step-by-step explanation:

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What is the slope? <br><br><br> WILL MARK AS BRAINLIEST!! !<br> (picture included ^^^^)
Olin [163]

Answer:

12

Step-by-step explanation:

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3 years ago
A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the
Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0
2 years ago
Answer C and D please
DENIUS [597]

Answer:

C. solution:

3(3c-2) = 5(2c-1)

or, 9c-6 = 10c-5

or, -6+5 =<em> </em>10c-9c

or, -1 = 1c

Hence, c = -1.

D. solution:

5(5-2a) = 4(6-a)

or, 25-10a = 24 - 4a

or, 25-24 = -4a+10a

or, 1 = 6a

or, 1/6 = a

Hence, a = 1/6.

6 0
3 years ago
Prove that A is a subset of B if and only if B complement is a subset of A complement.
WITCHER [35]
Please read the attached file

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3 years ago
Juan rode 72 km on his bike in 4 hours. Find the unite rate.
Westkost [7]

Answer:

18 km/hr

Step-by-step explanation:

To find the unit rate, we must find the rate in kilometers per hour.

Let’s divide the total kilometers by the total number of hours.

unit rate = kilometers/hours

Juan rode 72 kilometers in 4 hours.

unit rate = 72 kilometers/ 4 hours

unit rate = 72 km/4 hrs

unit rate = 18 km / hr

The unit rate is 18 kilometers per hour.

3 0
3 years ago
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