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4 years ago

14

Identify an equation in point-slope form for the line perpendicular to y = 1/4 x - 7 that passes through (-2,-6)

1 answer:

Korolek [52]4 years ago

6 0

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{We have}\ y=\dfrac{1}{4}x-7\to m_1=\dfrac{1}{4}.\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{1}{4}}=-4.\\\\\text{The point-slope form}:\ y-y_1=m(x-x_1).\\\\\text{Substitute the value of a slope and coordinates of the point (-2, -6)}:\\\\y-(-6)=-4(x-(-2))\\\\Answer:\ \boxed{C.\ y+6=-4(x+2)}$

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Step-by-step explanation:

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3 years ago

Explain the error in the solution below. What additional step needs to be completed?

Dmitriy789 [7]

Answer:

From step 4 to 9 is the required steps shown below.

Step-by-step explanation:

Given : Solution below,

$\log x -\log_5 3 = 2\log_5 3\\\log x = 3\log_5 3\\\log x = \log_5 33\\x = 27$

To find : The error in the solution and what additional step needs to be completed?

Solution : The mistake is the step 3 and additional step need to be added after it.

Step 1 - $\log x -\log_5 3 = 2\log_5 3$

Step 2 - $\log x = 3\log_5 3$

Step 3 - $\log x =\log_5 3^3$

Step 4 - $\log x=\log_5 27$

Applying change base rule of logarithmic, $\log_b a=\frac{\log a}{\log b}$

Step 5 - $\log x=\frac{\log 27}{\log 5}$

Step 6 - $\log x=\frac{1.431}{0.698}$

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Step 8 - $x=10^{2.050}$

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From step 4 to 9 is the required steps.

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4 years ago

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I need help plz guys asap

loris [4]

Answer:

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Step-by-step explanation:

what you have to do is add 20 and 16 and it will give you the answer

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3 years ago

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Answer:

B.different

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

s +(s -14) = 76

2s = 90 . . . . . . simplify, add 14

s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

<em>Check</em>

Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

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3 years ago

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