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emmainna [20.7K]
3 years ago
9

6xy — 4 y +6 - 4 x Factorise this expression

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

6xy-4y=2x+2x

2x+2x=4xbox

4xbox answer this fraction

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A 16-ft-long ramp rises at an angle of 18.5 degree. How long is the base of the ramp to the nearest foot?
Brilliant_brown [7]

Answer: 13 ft

Step-by-step explanation: The bottom of the 14 foot ramp is equivalent to about 12.98 feet.

5 0
3 years ago
Examine the work shown. Explain the error and find the
taurus [48]

Answer:6.8

or x = 102/15

step by step explanation:

30x=204

204/30

8 0
3 years ago
Read 2 more answers
A) Find the value of N if, Kn has 105 edges.
blagie [28]

The number of edges can be calculated from the number of vertices.

  • <em>There are 14 vertices for 105 edges</em>
  • <em>There are 200 vertices for 19900 edges</em>

The variable N is used to always represent the number of vertices.

So, we represent the edges as:

E \to Edges

<u />

<u>(a) The value of N for 105 edges</u>

The relationship between N and E is:

E = \frac{N \times (N - 1)}{2}

Substitute 105 for E

105 = \frac{N \times (N - 1)}{2}

Multiply through by 2

210 = N \times (N  - 1)

210 = N^2  - N

Rewrite as:

N^2 - N - 210 = 0

Expand

N^2 +14N - 15N - 210 = 0

Factorize

N(N +14) - 15(N + 14) = 0

Factor out N + 14

(N - 15) (N + 14) = 0

Solve for N

N = 15 or N = -14

The number of vertices (N) cannot be negative. So:

N = 15

<u>(b) The value of N for 19900 edges</u>

We have:

E = \frac{N \times (N - 1)}{2}

Substitute 19900 for E

19900 = \frac{N \times (N - 1)}{2}

Multiply through by 2

39800 = N \times (N  - 1)

39800= N^2  - N

Rewrite as:

N^2 - N - 39800= 0

Expand

N^2 +199N - 200N - 39800= 0

Factorize

N(N +199) - 200(N + 199) = 0

Factor out N + 199

(N + 199) (N - 200) = 0

Solve for N

N = 200 or N = -199

The number of vertices (N) cannot be negative. So:

N = 200

<em>Hence, there are 200 vertices for 19900 edges</em>

Read more about vertices and edges at:

brainly.com/question/22118318

7 0
3 years ago
A plane flies round-trip to Philadelphia. If flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 mi
aleksandrvk [35]
To solve the problem we will use this equation where,

d will be distance.
<span>x is the speed of the plane without tailwind. </span>
<span>y is the speed of the wind affecting the plane.</span>
Going to Philadelphia the speed of the plane affected by wind will be x-y=220 miles/hr
Coming back with a tailwind, the speed of the plane will be x+y= 280 miles/hr.
since time = distance / speed, t1 =d/220 and t2 = d/280
and since the total time traveled is 6.5hrs
d/220 + d/ 280 = 6.5hrs
d = 800.8 miles x 2 (back and forth trip) the answer is 1601.6 miles
5 0
3 years ago
Read 2 more answers
The weather forecast states that the temperature will be lower than –5°F tonight. Let t represent the temperature in degrees Fah
Nadusha1986 [10]
I think it is a because it says the temperature is less than -5 degrees Fahrenheit
so you know the sign will have to be t<-5 degrees Fahrenheit now you are left with is t a positive or negative number a positive number would automatically be greater than -5 degrees Fahrenheit so there is no way it can be a positive number thus leaving you with one option.

Answer: a

7 0
3 years ago
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