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Sophie [7]
3 years ago
5

How to find the angle between two lines given their slopes?

Mathematics
1 answer:
vichka [17]3 years ago
3 0
Tan(tan−1(yx)−θ) is the slope m. Then use "point slope formula" (if you want an equation of the line, that is...) Labeling the origin "O" and the point (x,y) "P", the segment ¯OP makes an angle of tan−1(yx) with the positive x-axis
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Log 10(x + 3) – log 10(x-3) = 1
nadezda [96]

Answer:33/9

Step-by-step explanation:

Log10(x+3)-Log10(x-3)=1

Log10((x+3)/(x-3))=1

(x+3)/(x-3)=10^1

(x+3)/(x-3)=10

Cross multiply

x+3=10(x-3)

Open brackets

x+3=10x-30

Collect like terms

10x-x=30+3

9x=33

Divide both sides by 9

9x/9=33/9

x=33/9

4 0
4 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

6 0
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Evan was carrying forward a balance of $300 from the previous month. His annual interest rate is 30%. Use computation to determi
sattari [20]

<u>Answer</u>:

The interest charged for this month is $7.5

<u>Step-by-step explanation:</u>

Given:

Principal = $300

Interest = 30%

Time =  1 month

To Find:  

The interest charged for this month = ?

Solution:

we know that the  interest charged = principal \times \text {Interest rate} \times time

1 month can also be written as \frac{1}{12}

Substituting the values,

interest charged:

=> 300 \times 30%  \times \frac{1}{12}

=> 300 \times \frac{30}{100} \times \frac{1}{12}

=> 300 \times \frac{3}{120}

=>\frac{900}{120}

=>\frac{30}{4}

=>\frac{15}{2}

=> 7.5

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3 years ago
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