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kolbaska11 [484]
3 years ago
10

Determine the distance between the points (-2.3) and (5. - 3).

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

\sqrt{85}

Hope that helped:)

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Miles jogged in 1 hour at an average rate of 8.5 feet per second?
FromTheMoon [43]
8.5X60 = 510 feet/min 510X60 = 30,600 feet/hour
8 0
4 years ago
PLEASE HELP......<br> brainliest....URGENT
evablogger [386]

Answer:

see below

Step-by-step explanation:

1)  see attached image

2) <u> bearings from A to B</u>

Note: bearing is always clockwise from A and from North.

(i)

bearing 180° + 67°

247° from N

(ii)

bearing 148 + 180

328° from N

(iii)

bearing 180 - 21

159° from N

(iv)

39° from N 

(v)

bearing 90 - 40

50° from N

3) <u>back bearing from each diagram on no. 2</u>

<u />

Note: subtract 200 if bearing is more than 180

         add 180 if the bearing is less than 180

(i) 247 - 200 = 47°

(ii) 328 - 200 = 128°

(iii) 159 + 180 = 339°

(iv) 39 + 180 = 219°

(v) 50 + 180 = 230°

5 0
3 years ago
Solve the simultaneous equations 2x-y=7 3x+y=3
Debora [2.8K]

Answer:

<h2>( 2 , - 3 )</h2>

Step-by-step explanation:

Using elimination method:

2x - y = 7

3x + y = 3

--------------

5x = 10

Divide both sides of the equation by 5

\frac{5x}{5}  =  \frac{10}{5}

Calculate

x = 2

Now, substitute the given value of X in the equation

3x + y = 3

3 \times 2 + y  = 3

Multiply the numbers

6 + y = 3

Move constant to R.H.S and change it's sign

y = 3 - 6

Calculate

y =  - 3

The possible solution of this system is the ordered pair ( x , y )

<h3>( x , y ) = ( 2 , -3 )</h3>

---------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

2 \times 2 - ( - 3) = 7

3 \times 2 - 3 = 3

Simplify the equalities

7 = 7

3 = 3

Since all of the equalities are true, the ordered pair is the solution of the system

<h3> ( x , y ) = ( 2 , - 3 )</h3>

Hope this helps..

Best regards!!

4 0
3 years ago
Is this correct pls help
nikitadnepr [17]

Answer:

I think it's right

but plz let me know if im wrong

Step-by-step explanation:

8 0
3 years ago
Verify the identity
Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

8 0
3 years ago
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