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tatuchka [14]
3 years ago
15

Find the equation of the line, given the following information:

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

Step-by-step explanation:

y - 4 = 5(x - 1)

y - 4 = 5x - 5

y = 5x - 1

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Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
Juliette [100K]

Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

3 0
2 years ago
Simplify the difference. (4w^2 – 4w – 8) – (2w^2 + 3w – 6)
Blababa [14]

Answer:

  2w^2 -7w-2

Step-by-step explanation:

(4w^2 – 4w – 8) – (2w^2 + 3w – 6)

Distribute the minus sign

(4w^2 – 4w – 8) – 2w^2 - 3w + 6

I like to line them up vertically

  4w^2 – 4w – 8

– 2w^2 - 3w + 6

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

  2w^2 -7w-2

8 0
3 years ago
Read 2 more answers
What is the domain of the function shown in the mapping
Yuri [45]
The domain { x | x = -5 , -3 , 1 , 2 , 6}
5 0
3 years ago
Read 2 more answers
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
Cerrena [4.2K]

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

4 0
2 years ago
Find the nth term of the arithmetic sequences<br> a1=5,d=6,n=11
ki77a [65]

here's the solution,

  • n = 11
  • a = 5 ( a = first term )
  • d = 6 ( d = common difference )

we know,

=》

nth  \: \: term \:  = a   \: + (n - 1) \times d

=》

11th \:  \: term   = 5 + (11 - 1) \times 6

=》

11th \:  \: term = 5 + (10 \times 6)

=》

11th \:  \: term  = 5 + 60

=》

11th \:  \: term = 65

nth term ( 11th term ) = 65

3 0
2 years ago
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