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quester [9]
3 years ago
6

On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what

is the measure of the third side of the triangle? (Your answer will be an expression)
Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

3x² + 8x + 5

Step-by-step explanation:

Subtract the sum of the 2 given sides from the perimeter, that is

9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)

= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1

= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms

= 9x² + 8x + 5

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1)Choose one of the factors of 24x6 - 1029y3 (24x to the sixth power minus 1029y to the third power) A)3 B)2x2 - 7y C)4x4 + 14x2
grigory [225]
24x⁶ - 1029y³ = 
3(8x⁶ - 343y³) = 
3((2x²)³ - (7y)³) = 
3(2x²-7y)(4x⁴ + 14x²y + 49y²)

Answer is <span>D) All of the above.</span>
5 0
3 years ago
Read 2 more answers
Donna bought 3 pairs of pants for $28.50 each. She also bought a necklace for $12.25. She received a discount of 35% off her ent
oee [108]

Answer:

<em>Donna will have to pay $67.985125 at the register, including the 7% sales tax.</em>

Step-by-step explanation:

Donna bought 3 pairs of pants for $28.50 each.

So, the cost for 3 pair of pants =(28.50\times 3)dollars= 85.50 dollars.

She also bought a necklace for $12.25

Thus, the cost for her entire purchase will be:  (85.50+12.25) dollars = 97.75 dollars.

She received a discount of 35% off her entire purchase. So, the amount of discount =(97.75\times 0.35)= 34.2125 dollars.

Thus, the total selling price will be:  (97.75-34.2125)= 63.5375 dollars.

Percentage of sales tax is 7%. So, the amount of sales tax =(63.5375\times 0.07)= 4.447625 dollars.

Thus, the total amount Donna have to pay at the register =(63.5375+4.447625)=67.985125 dollars.

5 0
4 years ago
One third of a number t is equal to 7
Vikentia [17]
If one third of t is 7 than t is equal to 21
3 0
3 years ago
Read 2 more answers
A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16 tortes. How many
Alenkinab [10]
If you would like to know how many tortes are left, you can calculate this using the following steps:

five chocolate tortes - 2 5/16 tortes = 5 - 2 5/16 = 5 - 37/16 =  80/16 - 37/16 = 43/16 = 2 11/16

The correct result would be D. 2 11/16.
3 0
3 years ago
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A Canadian television station shows 16 minutes of commercials every hour between 8:00 a.m. and 11:00 p.m. every day.
valentinak56 [21]

There are 16 minutes of commercials per hour from 8 A.M to 11 P.M

First, we have to find out how many hours is 8 A.M to 11 P.M

The hours are: 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.

So, it is 16 hours from 8 A.M to 11 P.M

Then, we multiply multiply 16 by 16 to find out how many minutes of commercials are in 16 hours.

16 x 16 = 256

So, there is 256 minutes of commercials in 16 hours.

Lastly, multiply 256 by 365 to see how many minutes of commercials are in one year.

256 x 365 = 93,440

Therefore, there are 93,440 minutes of commercials in a year.

8 0
3 years ago
Read 2 more answers
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