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4 years ago

What is the length of x

Mathematics

1 answer:

Nat2105 [25]4 years ago

5 0

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the <em>1</em> side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

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[PICTURE ATTACHED] HEEELLPPP

Natali5045456 [20]

The answer to this question would be 8,4,4

6 0

3 years ago

Read 2 more answers

How to factor that polynomial

professor190 [17]

<h3><u>(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.</u></h3>

This polynomial can be factored using difference of squares.

This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)

Because 1 * 1 = 1, we can use this formula to simplify this polynomial.

1 - 25y^2 = (1 + 5y)(1 - 5y)

We can use FOIL to verify this.

(1 + 5y)(1 - 5y)

1 - 5y + 5y - 25y^2

1 - 25y^2

6 0

3 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

If F(x) = log 4 3x, find F -1(x).

jenyasd209 [6]

Answer:

h(-4) = -4

Step-by-step explanation:

Since x is given (x = -4). Then, all you need to do is log in -4 for each value of x

h(-4) =

−

(

−

)

-3(-4)

h(-4) = -(16) + 12 = -4

4 0

3 years ago

Question 20 please thank hou

Mekhanik [1.2K]

$\dfrac{9mn-6m}{25-m^2}\div\dfrac{12mn}{5+m}=\dfrac{3m(3n-2)}{5^2-m^2}\cdot\dfrac{5+m}{3m\cdot4n}\\\\=\dfrac{3n-2}{(5-m)(5+m)}\cdot\dfrac{5+m}{4n}=\dfrac{3n-2}{4n(5-m)}\to\boxed{C.}$

8 0

3 years ago