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pychu [463]
3 years ago
6

Use slope to determine if the following lines are parallel, perpendicular, or neither.

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

The lines are parallel, with the same slope of 5.

Step-by-step explanation:

Remember that if slopes are the same, then the lines are parallel. If the slopes are opposite reciprocals, they are perpendicular. If they are neither of those cases, then they would be neither.

1) Since y = 5x + 1 is already in slope-intercept format (y = mx + b, in which m represents the slope) we know that 5 is the slope of that equation.

2) To find the slope of -5x + y = 6, let's just convert it to the slope-intercept format by isolating y on the left side like so:

-5x + y = 6 \\y = 5x + 6

(All you need to do is move -5x to the right side of the equation.) So, by looking at y = 5x + 6, we can do the same thing we did from step 1 and find that the slope is 5.

3) Since both of the equations' slopes are 5, they share the same slope - therefore, they are parallel.

Hope this helps! Please do not hesitate to ask any questions.

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Simple: get the Equation
ivanzaharov [21]

Answer:

y=10x+10

Step-by-step explanation:

7 0
3 years ago
Your waiter at a restaurant suggests you leave a tip of $10 on a $50 bill. What percentage is that?
Bezzdna [24]

Answer:

20%

Step-by-step explanation:

To find what percentage is $10 out of $50, we divide 10 by 50:

\frac{10}{50}=0.2

If we want to get the result in percentage form, we simply multiply it by 100%:

0.2\cdot 100\%=20\%

So a tip of $10 on a $50 bill is a tip of 20%.

6 0
3 years ago
What is 23/40 as a decimal
DanielleElmas [232]
It is 0.575000. All you have to do is divide the numerator by the denominator.

7 0
3 years ago
10
irakobra [83]

We have that the total length of paper needed to cover all the tables is

X=288.5ft

From the question we are told that:

Number of tables n=36

Length of tablel=8

Extension e=3 inch =>0.25feet

Generally, the equation for the Total length  tables is mathematically given by

l_t=n*l\\\\l_t=36*8

l_t=288ft

Therefore with an extension of 0.25ft at both end we have the Total length of  tablecloths to be

X=l_t+2(e)\\\\X=288ft+2(0.25)

X=288.5ft

In conclusion

The total length of paper needed to cover all the tables is

X=288.5ft

For more information on this visit

brainly.com/question/12595620

6 0
3 years ago
A rectangular prism has a base area of 56 square feet and a volume of 840 cubic feet. The length of the base is longer than the
katovenus [111]
The answer is 8 ft.

The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w

The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h

So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft

Now, we know that
l + w = 15         ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56

Or: l² - 15l + 56 = 0

Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
  = (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
  = (15 +/- √(225 - 224))/2
  = (15 +/- √1)/2
  = (15 +/-1)/2
 
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7

If l = 8, then w = 15 - 8 = 7.    So, l > w
If l = 7, then w = 15 - 7 = 8.     So, l < w

Therefore, l = 8 ft.
6 0
3 years ago
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