3 years ago

Factor quadratic trinomials 27x^2-90x+27

1 answer:

8 0

27x^2-81x-9x+27 In this case, just in your mind multiply 27 (coefficient of x^2) by the constant value 27(the end value of the quadratic trinomial). Then find factors that give you the value -90 when you add and 729 (27*27) when you multiply.

Factorise the values
27x( x-3)-9(x-3)

Which will give you

(27x-9)(x-3)

You might be interested in

ada writes 10 + 8 = 18 on the board . to use the commutative property of addition to rewrite ada's addition sentence. what numbe

Mashcka [7]

8+10 = 18 is what it is I'm pretty sure

6 0

3 years ago

A school band gives a year-end concert. It is held in a 400-seat auditorium. Each concert ticket sells for $10, and 85% of the t

bazaltina [42]

Answer: $3,400

Step-by-step explanation:

There are 400 seats in the auditorium which means that there are 400 tickets to be sold.

85% of these tickets are sold. The number of tickets sold is:

= 85% * 400

= 340 tickets were sold.

Each ticket sells for a total of $10.

The amount of money made from ticket sales is therefore:

= No. of tickets sold * price of ticket

= 340 * 10

= $3,400

6 0

3 years ago

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet,

MatroZZZ [7]

The two quadrilaterals are given similar .

In any similar figure sides are in proportion.The second largest side of quadrilateral ABCD is 16 ft .Let the second longest side of quadrilateral EFGH be x ft. These sides will be in proportion to each other .

The second shortest side of quadrilateral EFGH that is GF will be proportional to the third longest side of quadrilateral ABCD that is BC

We can form a proportion with the proportional sides:

$\frac{16}{x} =\frac{12}{18}$

To solve for x we cross multiply

12x=(16)(18)

12x=288

Dividing both sides by 12 we get

x=24.

The second longest side of quadrilateral EFGH is 24 ft.

6 0

3 years ago

Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the

lukranit [14]

Answer:

D) $15.99 +$0.50n> $20

Step-by-step explanation:

3 0

3 years ago

Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more

beks73 [17]

Answer:

wait so what is the numbers of distance they have swam?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers