All categories

3 years ago

Expand and combine like terms. (3c^4-5c^6)^2

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

$9c^{8} -30c^{10} + 25c^{12}$

Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

In our example a = 3c^4 and b = 5c^6

$(3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}$

You might be interested in

Help ill give brainliest and a thank you and 5 star if correct

Temka [501]

Answer:

85%

Step-by-step explanation:

The discount is 15% which we can write as 0.15 and we multiply that by 30 to get the discount, which is $4.50. We subtract that from the original price; 30 to get $25.50 as the sale price. We want to find out what percent of 30 25.50 is, so we divide 25.50 and 30 to get 0.85. Multiply that by 100 to get 85%.

5 0

3 years ago

Four out of 18 male student and

prisoha [69]

Answer:

Male 2:9

Female 1:7

Step-by-step explanation:

4 0

3 years ago

The product of negative nine and x

Montano1993 [528]

4 0

3 years ago

The tennis club where you play tennis charges $50.00 per month and $10.00 per hour of court time. If your current month's bill i

anyanavicka [17]

Answer:

Option B. 5 hours

Step-by-step explanation:

The tennis club charges monthly fees = $50.00

and per hour charges of court time = $10.00

Lets assume you play number of hours in a month = x hr

So, per hour charges would be = $10x

Total payment = monthly charges + charges of played hours

$100.00 = $50.00 + 10x

10x = 100 - 50

10x = 50

x = 5

Option B. You used 5 hours court time.

7 0

3 years ago

Joseph's uncle wants to put shingles on the outside walls and solar panel the roof of his barn shown at the right. It costs $2.5

sp2606 [1]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the measurement of the roof is 5 m by 9 m on both sides. Hence:

Area of roof = 2 (5 * 9) = 90 m²

Since solar panels cost $4.00 per square meter, therefore:

Cost of solar panels = $4.00 per square meter * 90 m² = $360

The area of the front wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) - (4 m * 4 m) = 52 m²

The area of the back wall of the barn = (8 m * 7 m) + (1/2 * 8 m * 3 m) = 68 m²

Area of each side wall of barn = 9 m * 7 m = 63 m²

Total area of wall = 52 m² + 68 m² + (2 * 63 m²) = 246 m²

Cost of shingles = $2.50 for each square meter * 246 m² = $615

Total cost of project = $615 + $360 = $975

5 0

3 years ago