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Neporo4naja [7]
2 years ago
12

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Mathematics
1 answer:
olga_2 [115]2 years ago
7 0

Answer:

5 units

Step-by-step explanation:

±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)

Apply distance formula

This is a topic on coordinate geometry. If you would like to find out more you can give my Instagram page a follow as I'll be updating on this topic soon. In addition, I will be posting other useful materials created by myself at the same platform too!

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Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value
melisa1 [442]

The function that represent this exponential decay is given as y = A(0.85)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: brainly.com/question/12940982

3 0
2 years ago
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
3 years ago
Given this is an odd number function, which of the following are equal to O(9)
Bumek [7]
It is 9 because I think It is equaltion to 9
7 0
3 years ago
Last Tuesday was silly hat day at Molly's school. 90 students wore a silly hat and 810
Elan Coil [88]
There are a total of 900 students at Molly’s school. 810 is 90% of 900. 90% of students did not wear a silly hat.
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2 years ago
Audrey is buying a new car for 32,998.00. She plans to make a down payment of 4,200.00. If she makes a payment of 525 for the ne
Klio2033 [76]
Your answer would be 3.7% i believe.
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