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borishaifa [10]
3 years ago
6

The coordinates for a rectangle are (3,10) (9,10) (9,6) and (3,6). What is the area

Mathematics
2 answers:
GalinKa [24]3 years ago
6 0
Check the picture below.  You can pretty much count the units off the grid for its width and length.

andreev551 [17]3 years ago
4 0
Hello!

First of all, let's look at the horizontal points, (3,6) and (3,10) since they y-axis is 10 and 6, we subtract and get 4 as one side length.

We do the same for the vertical points. The distance between (3,10) and (9,10) is 6 units, so 6 is our other side length.

Now we multiply.

4(6)=24

Therefore the area is 24 square units.

I hope this helps!
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How can this product be simplified 8p(-2p^2+6p-2)
Nikitich [7]

Answer:

-16p³ + 48p² - 16p

Explanation:

In order to simplify the given expression, we need to multiplied 8p with (-2p²+6p-2)

8p*(-2p²+6p-2)

we need to distribute 8p over the brackets or parenthesis.

=8p*(-2p²) + 8p*(6p) + 8p*(-2)

= 8*(-2)*p*p² + 8*6p*p + 8*(-2)* p

= -16p³ + 48p² - 16p

We can't simplify it more, so that's the final answer.

I hope it's help.





8 0
3 years ago
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For questions 1 - 2, use the distributive property to find the product of the binomials.
igor_vitrenko [27]

Answer:

1).  2x^2-3x+20

2). 4x^2-14x+6

Step-by-step explanation:

1. (x-4)(2x+5)

FOIL:

(x)(2x)+5(x)-8(x)+(4)(5)

2x^2+5x-8x+20

=2x^2-3x+20

2. (4x-2)(x-3)

FOIL:

(4x)(x)-(3)(4x)-2(x)-2(-3)

4x^2-12x-2x+6

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What rule can be used to find the next term of the arithmetic sequence? 39, 60, 81, 102, 123, . .
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A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

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Read more about Exponential Growth at; brainly.com/question/27161222

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