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oksano4ka [1.4K]
3 years ago
9

Slope = -8, passing through (2,5)

Mathematics
1 answer:
Marrrta [24]3 years ago
5 0
Y - y₁ = m(x - x₁)
y - 5 = -8(x - 2)
y - 5 = -8(x) + 8(2)
y - 5 = -8x + 16
<u>  + 5            + 5</u>
     y = -8x + 21
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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
Ann lives 3/10 mile from school. Carlos lives 1/10 mile from school. How much farther from school does Ann live than Carlos?
sattari [20]
3/10 - 1/10 =2/10
Thats what I think
7 0
3 years ago
The number of revolutions made by a figure skater for each type of axel jump is given. Determine the measure of the angle genera
trapecia [35]
For radians, multiply the number of jump revolutions by 2 pi 

<span>For degrees, multiply the number of revolutions by 360

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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4 0
3 years ago
A recipe calls for 3 cups of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?
nasty-shy [4]
The answer is 15 cups
7 0
3 years ago
Bonita said that the product of 5/6 times 1 2/3= 7/3. How can you tell that her answer is wrong?
Masja [62]

Answer:

B. 5/6 of a number cannot be greater than the number.

7/3 = 2 1/3 > 1 2/3

6 0
3 years ago
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