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3 years ago

Factor 4x^2-9x-9 and show work. please explain the steps taken

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

22x2 - 9x) - 9

<u> Trying to factor by splitting the middle term</u>

Factoring 4x2-9x-9

The first term is, 4x2 its coefficient is 4 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3

4x2 - 12x + 3x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (x-3)

Add up the last 2 terms, pulling out common factors :

3 • (x-3)

Step-5 : Add up the four terms of step 4 :

(4x+3) • (x-3)

<u><em>Hope this helps!</em></u>

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3 years ago

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3 years ago

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3 years ago

On another map the distance between saugerties and kingston is 2 inches. Whar would tge distance from saugerties to catskill be

Mariana [72]

The question is incomplete. The map is attached as a photo and here is the complete question:

a. What is the actual distance between Saugerties and

Kingston? ___________________________

b. Catskill is 15 miles from Saugerties. What would the

distance on the map be? ___________________________

c. On another map, the distance between Saugerties and

Kingston is 2 inches. What would the distance from Saugerties to

Catskill be on this map? __________________

Since you have asked the answer for part (c) only, here is the answer:

Answer:

<u>The distance from Saugerties to Catskill would be </u><u>3 inches</u><u> on this map.</u>

Step-by-step explanation:

On the given map, the distance between Saugerties and Kingston is 4 inches and the scale is <u>1 inch = 2.5 miles.</u>

To calculate the actual distance in miles between Saugerties and Kingston, consider the given scale:

1 inch ---------- 2.5 miles

4 inches ------ x miles

Cross multiplying:

1x = 2.5 x 4

x = 10 miles

The actual distance between Saugerties and Kingston is 10 miles.

On another map, the distance between Saugerties and Kingston is 2 inches. Which means the scale is 2 inches = 10 miles. So 1 inch = 10/2 = 5 miles

The scale on the other map is 1 inch = 5 miles.

Catskill is 15 miles from Saugerties (given in the previous part). So on the map:

1 inch -------- 5 miles

y inch ------- 15 miles

Cross multiplying:

15 = 5y

y = 15/5

<u>y = 3 inches.</u>

The distance from Saugerties to Catskill would be 3 inches on this map.

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3 years ago