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BabaBlast [244]
4 years ago
8

Solve for u. -4+2 u = -10 Simplify your answer as much as possible.

Mathematics
1 answer:
aliya0001 [1]4 years ago
3 0

Answer:

u = -3

Step-by-step explanation:

Step 1: Write equation

-4 + 2u = -10

Step 2: Solve for <em>u</em>

<u>Add 4 to both sides:</u> 2u = -6

<u>Divide both sides by 2:</u> u = -3

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10

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Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
Evaluate h-²g for h = 4 and g = 32.<br> 2<br> 1/2<br> 8
Hunter-Best [27]

Step-by-step explanation:

h2 - g

Putting values

(4)2 - 32

8 - 32

= - 24

3 0
3 years ago
What the answer? 8x-(2x-3)=12
nevsk [136]

Answer:

x= 3/2 or 1.5

Step-by-step explanation:

First of all, you can take out the parenthesis because 8x is subtracting 2x-3.

8x-2x-3=12

6x-3=12

  +3  +3

6x= 15

6x/6= 15/6

x= 3/2 or 1.5

Hope this helps!

8 0
3 years ago
Simplify. 1+32⋅2−5 A −48 B14 C15 D27
saul85 [17]

Answer:

14

Step-by-step explanation:

im different

8 0
3 years ago
The following steps are used to rewrite the polynomial expression x(x-5y) 2y (x-5y
Mice21 [21]
2x^3y-20x^2y^2+50xy^3
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3 years ago
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