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ahrayia [7]
3 years ago
12

Is y=8.5x a proportional relationship? If so, why? If not, why?

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0
Yes it's a proportional relationship since its a constant rate and does not have a y-intercept
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A firefighter training course is taking place in a high-rise building. The high-rise building where they practice is 48 stories
PIT_PIT [208]

Answer:

29 stories - 49 stories = number of stories they need to go

28 - 49 = 21

the answer is 21

they have 21 more stories to go

4 0
3 years ago
Solve this equation. <br> Leave the answer as an improper fraction. <br> 3x^2 + 2 = 11 - x^2
Nikolay [14]

Answer:

x = \frac{3}{2}orx=-\frac{3}{2}

Step-by-step explanation:

The given Equation is

3x^{2} + 2 = 11-x^{2}   .................(i)

Adding ( x^{2} -11 ) on both sides of  (i)

3x^{2}+2+x^{2}-11 = 11-x^{2}+x^{2}-11

solving and cancelling out the terms will give

⇒ 4x^{2} -9=0  

⇒ (2x)^{2} -(3)^{2} = 0     ...................(ii)

Now we Know that

(a)^{2} -(b)^{2} = (a-b)(a+b)  

Applying this on equation (ii)

(2x-3)(2x+3)=0

This will lead us to

Either 2x-3 =0    .......(iii)        or     2x+3=0   ..........(iv)

Solving equation (iii) for value of x

2x - 3 =0

adding 3 on both sides

2x -3 +3 = 0+ 3

2x = 3

Cross multiplying gives

x=\frac{3}{2}

Solving equation (iv) for value of x

2x + 3 =0

adding -3 on both sides

2x -3 +3 = 0- 3

2x = -3

Cross multiplying gives

x=\frac{-3}{2}

so x=\frac{3}{2} and x=\frac{-3}{2}

7 0
3 years ago
What is the slope of the line shown on the graph?
aivan3 [116]

Answer: x/2 or 0.5

Step-by-step explanation:

rise over run a/b

3 0
3 years ago
Read 2 more answers
Solve the system of equations. <br>5y-4x = -7 <br>2y+4y = 14​
timofeeve [1]

Answer:

5y-4x= -7 :

Slope = \frac{1.600}{2.000} = 0.800

<em>x </em>- <em>intercept =  </em>\frac{7}{4} = 1.75000

<em>y - intercept =  - </em>\frac{7}{5} =  -1.40000  <------both of these numbers a negative

----------------------------------------------

2y+4y = 14 :

<em>y = </em>\frac{7}{3} = 2.333

----------------------------------------------

<em>Hope this helped & good luck <333</em>

3 0
3 years ago
What is the volume of the cylinder? Round your answer to the nearest whole number??
andreyandreev [35.5K]

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \pi r^2h, where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

  • \pi * 3^2 * 5

Step 2: Simplify.

  • 3.14 * 9 * 5
  • 28.26 * 5
  • 141.3
  • 141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0
2 years ago
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