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Maru [420]
3 years ago
6

The slope of two lines are 5/6 and 2/p. determine the value of p that will make the lines

Mathematics
2 answers:
Anni [7]3 years ago
7 0
Parallel:  the lines have = slopes.  We thus need 5/6 to equal 2/p.  then 5p must equal 12, and p = 12/5.   (answer)

Check:  Is 5/6 = 2 / (12/5)?  YES

Perp.:  The lines have slopes that are negative reciprocals of one another.

Then -6/5 = 2/p,  or

 -6      2
---- = ----
  5      p             Thus, -6p = 10, and p = -5/3   (answer)
Romashka-Z-Leto [24]3 years ago
4 0
A) In order to be parallel, the slopes must be the same. To find p, set the slopes equal to each other:

5/6 = 2/p

Cross multiply:

12 = 5p

p = 12/5

B) In order to be perpendicular, the slopes must be opposite reciprocals. So if one line's slope is 5/6, the other line's slope must be -6/5:

-6/5 = 2/p

10 = -6p

p = 10/-6

Reduced, the answer is p = -5/3.





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Aaron says that all
Softa [21]

Answer:

NO

Step-by-step explanation:

Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.

to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by  formula \pi r^2. Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula \pi rl.

Now the surface area of the cone is circumference of the circle plus area of the cone part.

i.e. surface\ Area\ of\ the\ cone=\pi r^{2}+\pi rl

From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus <em>all  cones with a base circumference of 8 inches  will </em><em>not </em><em>have the same surface area.</em>

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5 0
3 years ago
Two lines have the following equations
Mashcka [7]

Answer:

(4,-3)

Step-by-step explanation:

Easiest way to do this without any advanced methods is to use the answer choices to your advantage.  

For a.) we have (1,1) meaning x = 1 and y = 1 if we get a 7 for the first equation and a -2 for the second equation then that is the correct answer.

Let x=1, y =1:

4(1)+3(1)=4+3=7  Correct so far.

1+2(1)=1+2=3      Incorrect since we should have got a -2 if this was the solution


Let (0,-1) x = 0, y = -1:

4(0) + 3(-1) = 0 -3 = - 3 Incorrect so we can stop there next answer choice.


Let (4,-3) x = 4 y = -3:

4(4)+3(-3)=16-9=7   Correct so far.

4+2(-3)=4-6=-2      Both are correct!

Therefore the solution (where the lines intersect) is (4,-3).


4 0
2 years ago
A2 − 6) and (a2 + 4) are the factors of
I am Lyosha [343]

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

<h3>What is a polynomial?</h3>

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example: x²+3x+5 is a polynomial.

The polynomial whose factors are (a²-6) and (a²+4) is,

P(x) =  (a²-6)(a²+4)

      = a⁴ + 4a² - 6a² - 24

      = a⁴ - 2a² - 24

Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

Learn more about Polynomials:

brainly.com/question/27343162

#SPJ1

3 0
1 year ago
Does anyone know algebra? if so, I can really use your help.
SCORPION-xisa [38]

Answer:

yea sure

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Negative5 to the negative2 power is what? How do you figure out a negative power?
Paraphin [41]
<span>Scientific NotationDate: 09/16/97 at 00:42:42 From: Aubin Subject: Scientific notation How do you do this problem? I don't understand how you're supposed to get the answer: 5x10 to the 3rd power = 5,000 5x10 to the -3rd power = -5,000 Is this correct? <span>Date: 11/03/97 at 09:56:46 From: Doctor Pipe Subject: Re: Scientific notation Aubin, The first part of what you wrote is correct; 5x10 to the 3rd power = 5,000. The second part is not correct. Writing a negative exponent, such as 10^-3 (read that as ten to the minus third power) is the same as writing 1/(10^3) (read that as one over ten to the third power). Notice that the exponent is negative when writing 10^-3 and positive when writing 1/(10^3) - yet the two numbers are equal. Remember that any number to the zeroeth power, say 10^0, is equal to 1. 10^0 = 1; 5^0 = 1; 275^0 = 1. Remember also that when multiplying two numbers written as base^exponent, if the base in both numbers is equal then we add together the exponents: 10^5 x 10^6 = 10^(5+6) = 10^11. If we have a number 10^5, what number do we multiply it by to get 1? Well, 10^5 x 10^(-5) = 10^(5 + (-5)) = 10^0 = 1. So if 10^5 x 10^(-5) = 1 then 10^(-5) = 1 / 10^5 So, since 10^3 = 1,000 then 10^(-3) = 1/(10^3) = 1/1,000 = 0.001 . It follows from this that: 5x10 to the -3rd power = 5 x 10^(-3) = 5 x 0.001 = 0.005 . The reason for this can be seen by examining what numbers to the right of the decimal point represent. You know what numbers to the left of the decimal point represent: the units digit represents the numeral times 10^0 (any number to the 0th power is 1), the tens digit represents the numeral times 10^1, the hundreds digit represents the numeral times 10^2, and so on. Well, to the right of the decimal point, the tenths digit represents the numeral times 10^-1, the hundredths digit represents the numeral times 10^-2, the thousandths digit represents the numeral times 10^-3, and so on. It's important to understand exponents because exponents allow us to extend the range of numbers that we can work with by allowing us to easily write and work with very large and very small numbers. It's so much easier to write: 10^23 then to write: 100,000,000,000,000,000,000,000 Or to write: 10^(-23) instead of: 0.00000000000000000000001</span></span>
4 0
3 years ago
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