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bazaltina [42]
3 years ago
12

Simplify this expression

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0
Hello there!

Let's put these into simpler terms:
-7s + 3s + 2s 
10 - 8 - 7

-7s + 3s = -4s
-4s + 2s = 2s

10 - 8 = 2
2 - 7 = -5

We are now left with:
2s - 5, which is your simplified expression.

I hope this helps!
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Answer:

Step-by-step explanation:

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3 years ago
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)
poizon [28]

(x+2)^{2}+(y-5)^{2}= 34

The equation of a circle in standard form is

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [\frac{1}{2}(xx_{1}+x_{2}, \frac{1}{2}(y_{1}+y_{2}

where (x_{1},y_{1}=(3,8) and (x_{2},y_{2}=(-7,2)

centre = (\frac{1}{2}(3-7),\frac{1}{2}(8+2)) = (-2,5)

Calculate r using the distance formula

r = √(x_{2}-x_{1})²+(y_{2}-y_{1})²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34


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3 years ago
Crystal reads 25 pages in 1 hour. Write an equation to represent the 2
Inessa05 [86]

Answer:

she read 25 pages in 60 minutes

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.

Next hour, it triples again so you now have 1 x 3 x 3=9

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer

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3 years ago
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