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Anna71 [15]
3 years ago
10

What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

y = -4/5x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation in slope-intercept form

5y = -35 - 4x

y = -7 - 4/5x

Step 2: Write parallel line equation

y = -4/5x + 5

A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.

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PLEASE HELP AND SHOW WORK!!
Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

x=6 2/3 min----------both working together

NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0
2 years ago
What is the value of the hypotenuse in the triangle below ?
sattari [20]

Answer:

Step-by-step explanation:

10

8 0
9 months ago
Read 2 more answers
How to tell if a table is a exponential decay function an exponential growth function or neither
aliya0001 [1]

Answer:

Exponential function: a*b^x

if B is less than 1, it is a decay function

if B is more than 1, then it is a growth function  

if B is 0, then the function neither decreases nor increases

Example 1: 100*0.14^x

The y-intercept is decreasing by 86%

Example 2: 3000*1.14^x

The y-intercept is increasing by 14%

Example 3: 400*0

The y-intercept is neither decreasing nor increasing

Going back to the function, <u>a</u> is the y-intercept, and <u>b</u> is the rate

<u>I hope this will help you, I just started to learn about exponential functions..</u>

5 0
2 years ago
What does x equal? 3(x-7)=138+3x
Arturiano [62]
3(x-7) = 138 + 3x      First multiply
3x-21 = 138 + 3x      subtract 3x from both sides 
-21 = 138            

This is a false statement because -21 does not equal to 138 so the answer is no solution.

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!
7 0
3 years ago
Pls help WILL GIVE BRAINLIST
myrzilka [38]

Answer:

<u>135.94 feet</u>

Step-by-step explanation:

Split the problem into two parts :

  1. Distance between viewer and building
  2. Height of the top part of the building

<u>Distance between viewer and building</u>

  • The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
  • Let the distance be called 'd'
  • Therefore, tan37° = 40/d
  • tan37° = 3/4 = 0.75
  • ⇒ 40/d = 0.75
  • ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet

<u>Height of the top part of the building</u>

  • Let the height of the top part be 'h'
  • Therefore, tan61° = h/d = h/53.3
  • tan61° = 1.8
  • ⇒ h/53.3 = 1.8
  • ⇒ h = 53.3 x 1.8 = 95.94 feet

<u>Total height of building</u>

  • Lower part + Top part
  • 40 + 95.94
  • <u>135.94 feet</u>

<u />

3 0
2 years ago
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