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2 years ago

Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.

Mathematics

1 answer:

Anna007 [38]2 years ago

7 0

The correct expression is (a) n = 100; (x + 10)^2

<h3>How to determine the value of n?</h3>

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

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3 years ago

What is 5(4x + 3.5) equivalent to?

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Answer:

The answer is

20x + 17.5

Step-by-step explanation:

Multiply the 5 by the numbers inside the parenthesis.

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2 years ago

What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small

liraira [26]

Answer:

51/100

Step-by-step explanation:

The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square is equal to the ratio of the area of interest to the total area:

P(inside larger square and outside smaller square) = area of interest / total area

P(inside larger square and outside smaller square) = area inside the larger square and outside the smaller square / area of the larger square

Calculations:

1. Area inside the larger square: side² = (10 cm)² = 100 cm²

2. Area inside the smaller square = side² = (7cm)² = 49 cm²

3. Area inside the larger square and outside the smaller square

100 cm² - 49 cm² = 51 cm²

4. P (inside larger square and outside smaller squere)

51 cm² / 100 cm² = 51/100

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3 years ago

Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.

Gwar [14]

Answer: The required point is A(6, 3) in the attached graph.

Step-by-step explanation: We are to find the point on the given graph that shows the price of 6 ounces of cheese.

The formula to be used is given by

$y=x\div 2\\\\\Rightarrow y=\dfrac{x}{2}~~~~~~~~~~~~~~~~(i).$

Given that,

when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.

when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.

when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.

Therefore, these points satisfy the given relation (i).

Hence, if x = 6, then from equation (i), we have

$y=\dfrac{x}{2}=\dfrac{6}{2}=3.$

Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.

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3 years ago

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tensa zangetsu [6.8K]

38 mins

dbdhshshehhwsh

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