2 years ago

Eight more than six times a number added to one more than nine times the number

Mathematics

2 answers:

Nonamiya [84]2 years ago

6 0

Eight more than six times a number added to one more than nine times the number
(8 + 6x) + (1 + 9x)
9 + 15x

Citrus2011 [14]2 years ago

5 0

Answer:

$15x+9$

Step-by-step explanation:

We are supposed to write an expression for the given verbal description.

Let x be the required number.

Six times the number would be $6x$ .

Eight more than six times the number would be $6x+8$ .

Nine times the number would be $9x$ .

One more than nine times the number would be $9x+1$ .

Add both expressions:

$6x+8+9x+1$

Combine like terms:

$6x+9x+1+8$

$15x+9$

Therefore, our required expression would be $15x+9$ .

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Rufina [12.5K]

Answer: $(x-2)^2 + (y+3)^2 = 36\\\\$

Work Shown:

$(x-h)^2 + (y-k)^2 = r^2\\\\(x-2)^2 + (y-(-3))^2 = 6^2\\\\(x-2)^2 + (y+3)^2 = 36\\\\$

Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in $(x-h)^2 + (y-k)^2 = r^2\\\\$ form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).