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3 years ago

Find the product of (x + 3)(x − 3)

Mathematics

2 answers:

leonid [27]3 years ago

8 0

Answer:

The product of (x+3)(x-3) is x²-9

Step-by-step explanation:

Given: (x+3)(x-3)

We need to find the product of the two factor.

Using distributive property

(a+b)(c+d) = ac+ad+bc+bd

$(x+3)(x-3)=x(x-3)+3(x-3)$

$\Rightarrow x^2-3x+3x-9$

Cancel like terms

$\Rightarrow x^2-9$

Hence, The product of (x+3)(x-3) is x²-9

blsea [12.9K]3 years ago

3 0

Let's run through the steps

1. x(x+3)+(x+3)-3 ---------------------------- Distribute
2. $x^{2} +3x-3x-9$ --------------- Simplify
3. $x^{2} -9$ ------------------------- Simplify

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No scale is shown on this map of a wilderness area. The distance between Rose Lake and the main road is 3.5 mi. On the map it is

vivado [14]

Answer:

The actual distance between Rose Lake and the hiking trail is 7 miles.

Step-by-step explanation:

The actual distance between Rose Lake and the main road is 3.5 miles and the scaled distance on the map is 2 inch.

Suppose, the actual distance between Rose Lake and the hiking trail is $d$ miles.

Given that, the scaled distance from Rose Lake to the hiking trail on the map is 4 inch.

So, according to the ratio of "scaled distance" to the "actual distance", the equation will be......

$\frac{2}{3.5}= \frac{4}{d} \\ \\ 2d=4*3.5=14\\ \\ d=\frac{14}{2}=7$

Thus, the actual distance between Rose Lake and the hiking trail is 7 miles.

4 0

3 years ago

In the diagram below m angleXYZ=138° and m angleWXY=60°.What is m angleXWY?

Mamont248 [21]

Can you please provide the diagram.

5 0

3 years ago

11111111111111111111111

Nat2105 [25]

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

4 0

3 years ago

Help with my homework plz I need it

Rufina [12.5K]

Yarrr maths.....very tough subject

5 0

3 years ago

Britney scored an 85 on her last math test write the prime factorization on 85

7nadin3 [17]

Answer:

$5 \times 17$

Step-by-step explanation:

Just so you know, for your information, composite numbers have more than two factors, and prime numbers have EXACTLY two factors [1 and itself (that number)].

* A common mistake is that people make is that they say that all even numbers are composite, and that is false because there are odd numbers that are PERFECT SQUARES and can be divided evenly without leaving a remainder. So, using the Prime Factorization Method, you can do this in two structures:

Ladder Diagram
Factor Tree

Factor Tree

/ \

17 5

Ladder Diagram

17|85

5|5

In the Ladder Diagram, when you are down to 1, you know that factorization is over and there is nothing else to do.

So, with that being said, the prime factorization of 85 is 17 × 5.

I am joyous to assist you anytime.

5 0

3 years ago