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3 years ago

Write an equation in slope intercept form of the line passing through (8,1) and (1,8)

Mathematics

1 answer:

frosja888 [35]3 years ago

8 0

Answer: y = -x + 9

Step-by-step explanation:

First, to find the slope of the line we will use: (y₂-y₁)/(x₂-x₁)

Using the two points, we get: (8-1)/(1-8)

Simplify it: 7/-7

Finally, the slope is -1

We can now write: y = -x + b

Next we will plug in a point into the equation we have:

(8,1) --> 1 = -8 + b Then solve algebraically

b = 9

Then finish the equation:

y = -x + 9

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What is the solution to this addition sentence? 3/4 + (-1/2) = _____

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$\text{Remove parentheses}\\\frac{3}{4} - \frac{1}{2} \\\text{Simplify}\\\frac{1}{4} \checkmark$

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The answer is A.) A smaller percentage of second-lunch students (18%) eat outside.

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3 years ago

Need help with this question

goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

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3 years ago

I need help ASAP!!

Viktor [21]

Answer:

$\frac{64}{49}$

Step-by-step explanation:

As we can see the given expression as three complex parts and all are being multiplied.

Lets simplify each part separately and then multiply all of them in the end

Part1

$(\frac{8.4.2}{8.7})^{2}$

Cancelling 8 in numerator with 8 in denominator

$(\frac{4.2}{7})^{2}$

$(\frac{8}{7})^{2}$

$\frac{64}{49}$

Part2

$(\frac{8^{0} }{7^{-3} })^{3}$

simpliying

$(\frac{1}{7^{-3} })^{3}$

$({7^{3} })^{3}$

$7^{9}$

Part3

Third part is $7^{-9}$ , and it does not need to be further simplified

Now multiplying all the three parts

$\frac{64}{49}.7^{9}.7^{-9}$

$\frac{64}{49}.7^{9-9}$

$\frac{64}{49}.7^{0}$

$\frac{64}{49}.1$

$\frac{64}{49}$

So our final answer is $\frac{64}{49}$

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3 years ago

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sveticcg [70]

Answer:

x = 1.125

Step-by-step explanation:

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