Which of the following fractions is in simplest form?

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

romanna [79]

Answer:

11x+y = -28

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

= (-6-5)/ (-2--3)

= -11(-2+3)

= -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

11x+y = -28

This is the standard form of a line

5 0

4 years ago

How do you this question (pre-cal)

Novay_Z [31]

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

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

kirza4 [7]

Remark

Without being given choices, we can get answers but they may not be listed among your. The important think is to be working in the same units

Convert miles/hour to m/sec

$\frac{2.5 mi}{h}*\frac{1 h}{3600 sec}*\frac{1.6 km}{1 mi}*\frac{1000 m}{1 km}$

Now just multiply all the numerators together and divide by all the denominators.

Numerators: 2.5 * 1.6 * 1000 = 4000

Denominators: 3600

numerator/denominator = 4000/3600 m/s = 1.111 m/s

Conclusion

Talia is a much faster swimmer than Alina because 1.8 is greater than 1.11. Both numbers are in m/s.

2.5 miles / hour = 1.

5 0

3 years ago

Read 2 more answers

Round 5.9496 to the nearest thousandth

Evgesh-ka [11]

Answer:

5.95

Step-by-step explanation:

that is because 96 is rounded too 100

so its 5.9500 = 5.95

4 0

3 years ago

Read 2 more answers

What is the probability of rolling a 6 sided die and getting a 4 or a number divisible by 3. A) 1/3 B) 1/18 C) 2/3 D) 1/2

KATRIN_1 [288]

Let
Event A = rolling a 4 on a single die
Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: Choice D) 1/2

6 0

3 years ago