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malfutka [58]
2 years ago
13

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answe

r in simplest form.
Mathematics
1 answer:
yan [13]2 years ago
4 0

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

<em><u>Recall:</u></em>

  • The slope of a line passing across through two points can be calculated using: m = \frac{y_2 - y_1}{x_2 - x_1}

<em><u>Given two points:</u></em>

(5,−10) and ( 11 , − 12 )

  • Let,

(5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)

  • Substitute

m = \frac{-12 - (-10)}{11 - 5}

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

brainly.com/question/3493733

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What is −13+2z=−56 Thanks
Zinaida [17]
<h3>Original Equation:</h3>

-\frac{1}{3}+2z=-\frac{5}{6}

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}

Now that we have common denominators, add both sides by 2/6:

2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

7 0
3 years ago
Can someone help me simplify this?
ziro4ka [17]
=(14+3i) - (-12-7i) + (6+2i)
=14 + 3i +12 + 7i + 6 + 2i
=32 + 12i
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Can someone please answer my question before this one go to my profile to view
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Answer: Okay, what's the question?

Step-by-step explanation:

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its 14n+21. 7×2n is 14n, and 3×7 is 21

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The formula for circumference is C= 2(pi)(r)^2. Because diameter is double the radius, and the diameter is 8 ft, the radius is 4 ft. So, plug that into the equation, and you get: C=2(pi)(4)^2. The answer is 32 pi ft. If the question asks for the exact answer, keep the pi as it is, but if it says to round, multiply 32 by pi and round.
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