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Ierofanga [76]
3 years ago
9

Devaughn is 13 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

26

Step-by-step explanation:

Let D =Devaughn's age

S= Sydney's age

So D+S=64

D=S+12

Now

D+S=64⇒D=64−S

and so

S+12=64−S 2S=52

S=26

Therefore

D=S+12

D=38

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If there is 126 calories in 3/4 cup of milk. How many calories in 1/2 cup of milk?
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A fighter tank targets an enemy helicopter flying at an altitude of 1250 ft. If the ground
madam [21]

By using trigonometric relations, we will see that the angle of elevation must be 55°.

<h3>How to find the angle of elevation?</h3>

We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.

The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.

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1 year ago
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3 years ago
A polynomial has a leading coefficient of 1 and the
Hoochie [10]

Answer:

(A)[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]

Step-by-step explanation:

A polynomial has a leading coefficient of 1 and the  following factors with multiplicity 1:

x-(2+i)\\x-\sqrt{2}

We apply the following to find the factored form of the polynomial.

  • If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.
  • If the polynomial has an irrational root a+\sqrt{b}, where a and b are rational and b is not a perfect square, then it has also a conjugate root a-\sqrt{b}.

\text{Complex conjugate of }x-(2+i)=x-(2-i)\\\\\text{Complex conjugate of }x-\sqrt{2}=x+\sqrt{2}

Therefore, the factored form of the polynomial is:

[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]

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