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IgorLugansk [536]
3 years ago
9

Hi can you help me please?)

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

<em>To solve for a variable, you just need to isolate the variable to one side.</em>

<h3>7.</h3>

For this, just divide both sides by r and <u>your answer will be \frac{d}{r}=t</u>

<h3>8.</h3>

For this, divide both sides by nR and <u>your answer will be \frac{PV}{nR}=T</u>

<h3>9.</h3>

Firstly, multiply both sides by T: AT=FV-OV

Next, subtract FV on both sides of the equation: AT-FV=-OV

Lastly, multiply both sides by -1, and <u>your answer will be -AT+FV=OV</u>

<h3>10.</h3>

Firstly, multiply both sides by 1000: 1000C=Wtc

Lastly, divide both sides by tc and <u>your answer will be \frac{1000C}{tc}=W</u>

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Answer:

  x = 3

Step-by-step explanation:

The two right triangles share angle A, so the similarity statement can be written ...

  ΔABC ~ ΔADE

Corresponding sides are proportional, so we have ...

  BC/DE = AB/AD

  x/12 = 3/(3+9)

  x = 3 . . . . . . . . . . multiply by 12

6 0
3 years ago
A water balloon is tossed into the air with an upward velocity of 40 ft/sits height h(t) in ft after t seconds is given by the f
olga_2 [115]

h(t) = -46t² + 40t + 3

We can think this graph by t being the x-axis and h being y-axis

So we want the maximum value to y.

We know by math that the vertex of a parabola is (-b/2a, -Δ/4a)

So the y value of the vertex is -Δ/4a

Let's calculate:

Δ = b² - 4.a.c

Δ = 40² - 4.(-46).3

Δ = 2152

Yvertex = -2152/4.(-46)

Yvertex = 2152/184

Yvertex = 269/23

Now we have the value of y we need to equal it to the equation

269/23 = -46t² + 40t + 3

-46t² + 40t + 3 - 269/23 = 0

-46t² + 40t - 200/23 = 0

Δ = b² - 4.a.c  

Δ = 40² - 4 . -46 . (-200/23)  

Δ = 1600 - 4. -46 . (-200/23)  

Δ = 0

There's 1 real root.

In this case, x' = x'':

x = (-b +- √Δ)/2a

x' = (-40 + √0)/2.-46    

x'' = (-40 - √0)/2.-46

x' = -40 / -92    

x'' = -40 / -92

x' = 0,43478260869565216    

x'' = 0,43478260869565216

So, after approximately 0,4348 seconds the balloon will reach the highest point.

B) height after 2 seconds

h(2) = -46.2² + 40.2 + 3

h(2) = -46.4 + 80 + 3

h(2) = -184 + 83

h(2) = -101

Not sure how it's possible but it would be -101.

4 0
3 years ago
What are the solutions to the equation x² = 169? Choose all answers that are correct. A. 13 B. –13 C. 84.5 D. –84.5
Nimfa-mama [501]
x^{2} = 169

First, we need to take the square root of each side. 
x = \pm \sqrt169

Second, we now have to find the square root of 169 to solve this. Since 13 × 13 = 169, the square root of 169 is 13. The plus-minus symbol means in this case, the solution can be -13 and positive 13. To answer your question, option A) 13, and B) -13 are the solutions to the equation.
x = \pm 13

Answer: \pm13
7 0
3 years ago
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Answer:

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The answer to this is C.
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