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3 years ago

1.) Use the Pythagorean Theorem to determine if a triangle with side lengths 28ft., 45ft., 53ft. is a right triangle.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

8 0

Answer:

1. Right Triangle

2. Not Right Triangle

3. Not Right Triangle

Step-by-step explanation:

1. 28² + 45² = 2809 --> 53² = 2809

2. 6² + 6² = 72 --> 8² = 64

3. 4² + 10² = 116 --> 12² = 144

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Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)

Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

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1 year ago

Peter is overweight. He is 105 kg. His aim is to lose 500 g per week. If he manages this, how many weeks will it be until he is

charle [14.2K]

Answer:

30 weeks

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Trey pays a $6 monthly fee plus 8. Cents per minute. Last month, Trey's long distance bill was $12.72. For how many minutes was

Anit [1.1K]

Hello!

Since Trey pays a flat monthly $6 fee, we can subtract that from the total bill:

$12.27 - $6 = $6.72

That leaves us with a total of $6.72 paid for minutes. We are told that Trey is charged 8 cents per minute of usage. Using the information above, we can create the following equation:

$0.08 x (minutes) = $6.72

Now divide $0.08 from both sides of the equation and simplify:

$\frac{0.08}{0.08}$ x (minutes) = $\frac{6.72}{0.08}$

minutes = 84

We have now proven that Trey was billed for 84 minutes.

I hope this helps!

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3 years ago

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

weeeeeb [17]

Answer:

the graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).

The vertex is the maximum value.

The axis of symmetry is x = negative one-half.

The domain is all real numbers.

The range is all real numbers.

The function is decreasing from (−∞, 6.75).

Step-by-step explanation:

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2 years ago

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Brian irons 2/9 of his shirt in 3 3/5 minutes. Brian irons at a constant rate. At this rate, how much of his shirt does he iron

Naily [24]

You have to divide both sides by 3 3/5
Or multiply by 5/18, the inverse of 3 3/5.

It should get you 5/81 of his shirt per minute

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3 years ago