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Luda [366]
3 years ago
8

Find the slope of the line that passes through the points (3, 6) and (5, 3).

Mathematics
2 answers:
Gekata [30.6K]3 years ago
7 0

Answer:-3/2


Step-by-step explanation:

The slope is Y/X so it goes down from 6 to 3 on Y that’s -3,and it goes right 3 to 5 that’s +2 so -3/+2

FromTheMoon [43]3 years ago
3 0
The slope of the line is -3/2
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3 years ago
How do you this question (pre-cal)
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The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).

So I'll take the left hand side and try to turn it into \csc^2( B )

One way we can do that is through the following steps:

\frac{\tan(B) + \cot(B)}{\tan(B)} = \csc^2(B)\\\\\frac{\tan(B)}{\tan(B)} + \frac{\cot(B)}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\frac{1}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\cot(B) = \csc^2(B)\\\\1 + \cot^2(B) = \csc^2(B)\\\\1 + \frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)}{\sin^2(B)}+\frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)+cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{1}{\sin^2(B)} = \csc^2(B)\\\\\csc^2(B)=\csc^2(B) \ \ {\Large \checkmark}\\\\

Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.

4 0
3 years ago
(3x – 1)(2x +9)<br> Multiplying polynomials
ad-work [718]

We can use the FOIL method to simplify.

= (3x – 1)(2x + 9)

= (3x * 2x) + (3x * 9) + (-1 * 2x) + (-1 * 9)

= 6x + 27x + (-2x) + (-9)

= 33x - 11

Hope This Helped! Good Luck!

8 0
3 years ago
Read 2 more answers
Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours
Stolb23 [73]

Answer:

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x×(1 1/2)=1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48=(x×40)+(1.5 x)×3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

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The hourly wage is $8.55 per hour

5 0
3 years ago
1. Find the perimeter.<br> 13 yd<br> 14 yd<br> 7 yd<br> 18 yd
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Answer:

52 yards

Step-by-step explanation:

Perimeter is all sides added together.

13 + 14 + 7 + 18 = 52

4 0
3 years ago
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