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erastova [34]
4 years ago
7

Write the square of the binomial as a polynomial: (-1 1/3p + 6q)^2

Mathematics
1 answer:
Thepotemich [5.8K]4 years ago
5 0

Answer:

\frac{16}{9}p² -16pq + 36q²

Step-by-step explanation:

Given

(- \frac{4}{3}p + 6q)²

= (- \frac{4}{3}p + 6q)(- \frac{4}{3}p + 6q)

Each term in the second factor is multiplied by each term in the first factor, that is

- \frac{4}{3}p(- \frac{4}{3}p + 6q) + 6q(- \frac{4}{3}p + 6q)

= \frac{16}{9}p² - 8pq - 8pq + 36q² ← collect like terms

= \frac{16}{9}p² - 16pq + 36q²

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Laurence, the stadium manager, spends $22,000 on a broadcast TV ad, $30,000 on a cable TV ad, and $6,000 on a radio ad. What per
Vesnalui [34]

38 % of amount is spent on broadcast TV advertising

<em><u>Solution:</u></em>

Given that,

Amount spend on broadcast TV ad = $ 22, 000

Amount spend on cable TV ad = $ 30, 000

Amount spend on radio ad = $ 6000

To find: percentage of broadcast TV advertising

Total amount = $ 22, 000 + $ 30, 000 + $ 6000

Total amount = $ 58000

percentage of broadcast TV advertising = \frac{\text{ amount spend on broadcast tv}}{\text{ total amount}} \times 100

\rightarrow \frac{22000}{58000} \times 100\\\\\rightarrow 0.3793 \times 100 = 37.93 \approx 38

Thus 38 % of amount is spent on broadcast TV advertising

7 0
3 years ago
VE
Firdavs [7]

Answer:

$4167

Step-by-step explanation:

Original Amount: $4167 (rounded)

First Year: $4167 + $416.7 = $4583.7

Second Year $4583.7 + $416.7 = 5000.4

8 0
3 years ago
The lengths of the sides of a square are 5 cm. find the length of the diagonal
jenyasd209 [6]

Answer:

square root (50) = 7.071

Step-by-step explanation:

Using Pthagoras' theorem, the diagonal length is \sqrt{x} ax^{2} +bx^{2}.

Therefore, the diagonal length is the square root of 5^2+5^2,

= \sqrt{x} 25+25

= \sqrt{x} 50

= 7.071

8 0
3 years ago
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
Scrat [10]

Just did a specific one of these; let's do the general case.


The point nearest the origin is (a,b).


The line from the origin through the point is


bx - ay = 0


The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


ax + by = a^2 + b^2


ax + by -( a^2 + b^2) = 0


That's standard form; let's plug in the numbers:


4 x - 4 y - 32 = 0


x - y - 8 = 0



5 0
3 years ago
veena ate lunch at a deli. she ordered a turkey sandwich for $9.25 and a salad for $4.35. the tax was 7.5%. what is the amount o
Lostsunrise [7]
The answer is $1.02
5 0
3 years ago
Read 2 more answers
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