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2 years ago

5c+10=40.................

Mathematics

2 answers:

jeka942 years ago

6 0

Answer

c=6

Step-by-step explanation:

subtract both sides by ten

c+10-10=40-10

5c=30

divide both sides by 5

5c/5=3-/5

ANTONII [103]2 years ago

3 0

C = 6

Image provided.

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The Johnson twins were born four years after their older sister. This year, the product of the three siblings ages is exactly 34

svp [43]

Answer:

Step-by-step explanation:

Let age of each twin be x

let age of sister be s

So we can write:

x + 4 = s

The product of the 3 siblings ages is 3482 more than sum. We can write:

$s*x*x=3482+(s+x+x)$

This can be simplified as:

$sx^2=3482+s+2x$

We replace s with "x + 4" and solve:

$(x+4)x^2=3482+x+4+2x\\x^3+4x^2=3486+3x\\x^3+4x^2-3x-3486=0\\x=14$

Note: To solve this cubic, we used technology

Thus, we can say the twins are 14 years old

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3 years ago

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Natasha2012 [34]

As we know that the standard equation of circle is ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ , where r is the radius of circle and centre at (h,k) 

Now , as the circle passes through (2,9) so it must satisfy the above equation after putting the values of h and k respectively

${:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}$

${:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}$

${:\implies \quad \sf 9+16=r^{2}}$

After raising ½ power to both sides , we will get r = +5 , -5 , but as radius can never be -ve . So r = +5 

Now , putting values in our standard equation ;

${:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}$

This is the required equation of Circle

Refer to the attachment as well !

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2 years ago

Determine the most specific name for the figure in the diagram.

Makovka662 [10]

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3 years ago

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Lelu [443]

Answer:

Question 1: y-11x+5 I think; Question 2: I'm not sure

Step-by-step explanation: