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3 years ago

Which of the following is the product of (3x − 5) and (3x + 5)?

Mathematics

1 answer:

Whitepunk [10]3 years ago

4 0

Answer:

Step-by-step explanation:

These binomials make up the difference of squares.

3x * 3x = 9x^2

3x * 5 = 15x

-5 * 3x = - 15x

-5 * 5 = - 25

Notice the 2nd and 3rd terms. They are equal except that one is plus and the other minus. That means they cancel. You are left with

9x^2 - 25

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What is the interquartile range for the data set 12,14,16,16.5,11,18,18,14,20

podryga [215]

Your answer would be 15.6

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4 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

3 years ago

Which of the following is an equation of the line that passes through the point (2, 2) and is parallel to the graph of the equat

pickupchik [31]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = 3x - 4 → B

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4 years ago

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Paladinen [302]

The answers are A and D. Hope this helps!

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3 years ago

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Answer:

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3 years ago

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