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qaws [65]
3 years ago
9

Find the value of r so the line that passes through each pair of points has the given slope.

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

\frac{5-r}{6}=\frac{2}{3}

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

5 - r = 4

subtract 5 from both sides

-r=-1

multiply both sides by -1

r=1

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Expand (x-3)(x-8) to form a quadratic expression
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8 0
3 years ago
Given right triangle ABC, what is the value of tan(A)?
Angelina_Jolie [31]
You didn't provide more information regarding triangle but from given options, it seems that triangle has ratio from shortest side to longest side would be 5 : 12 : 13

So 13 would be hypotenuse since it is longest.

Now A cannot be right angle because tangent is not defined at 90°.

Also tan(A) would be ratio of opponent side to adjacent side (think SOH CAH TOA)

So either opposite side would be 5 or 12, and adjacent side would be 12 or 5 respectively.

So the answer is either 5 / 12 or 12 / 5 but only option provided is 12/5 so that would be your answer.

Final answer: 12 / 5
7 0
3 years ago
Read 2 more answers
Given that e= 2i – 5j + 9k and f= 8i + 15j + k, find 3f – 2e.
ipn [44]

Plug in "8i + 15j + k" for "f", and "2i – 5j + 9k" for "e"

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 to (8i + 15j + k) & - 2 to (2i – 5j + 9k)

3(8i + 15j + k) = 24i + 45j + 3k

-2(2i - 5j + 9k) = -4i + 10j - 18k

-------------------------------------------------------------------------------------------------------------------

Simplify. Combine like terms

24i - 4i + 45j + 10j + 3k - 18k

(24i - 4i) + (45j + 10j) + (3k - 18k)

20i + 55j - 15k is your answer, or (C)

-------------------------------------------------------------------------------------------------------------------

hope this helps

5 0
3 years ago
Read 2 more answers
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