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maxonik [38]
3 years ago
12

25^9+5^17 is divisible by 30.

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

1.5 x 10↑11

Hopefully that helps.

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Identify the place of the 4 in the number: 45,348
MAXImum [283]
Ten thousands and tens place.
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3 years ago
38,<br> 50, 59, 70,<br> 83, 98, 115, 134, 155, 178,<br> 203
kap26 [50]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
jolli1 [7]

The vertex is (-1,1)

Explanation:

The equation is f(x)=2x^{2} +4x+3

To find the vertex, we need the equation in the form of f(x)=a (x-h)^{2}+k

Dividing each term by 2 in the equation f(x)=2x^{2} +4x+3

f(x)=2(x^{2} +2x+\frac{3}{2} )

Now, completing the square by adding and subtracting 1, we get,

f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )

The first three terms can be written as (x+1)^{2},

f(x)=2[(x+1)^{2}+\frac{1}{2}  ]

Multiplying 2 into the bracket, we get,

f(x)=2(x+1)^{2} +1

This equation is of the form f(x)=a (x-h)^{2}+k

Now, we shall find the vertex (h,k)

Thus, h=-1 and k=1

Thus, the vertex is (-1,1)

7 0
3 years ago
Mr. Dyer is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is
boyakko [2]

Answer:

5 meters.

Step-by-step explanation:

Given:

Mr. Dyer is leaning a ladder against the side of his house to repair the roof.

The top of the ladder reaches the roof, which is 3 meters high.

The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.

Question asked:

How long is the ladder?

Solution:

<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>

Base = 4 meters

Height = 3 meters

Length of the ladder = ?

<u>By Pythagoras theorem: </u>

Square of longest side = Square of base + Square of height

(Longest\  side)^{2} =  4^{2} +3^{2}

(Longest\  side)^{2} =  16+9

(Longest\  side)^{2} =  25

Taking root both side :-        

\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{25}    

 Longest\  side =  \sqrt[2]{5\times5} \\  Longest\  side =  5

Thus, length of ladder is 5 meters.

         

           

         

         

                 

                

     

4 0
3 years ago
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Each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate
Murljashka [212]
10/3 and simplified 3 1/3


All you do is multiply by 5
4 0
3 years ago
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