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3 years ago

PLEASE HELP ME FOR EXTRA POINTS AND BRAINLIEST ANWSER

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

3 0

Recall that tanA = sinA / cosA.

Therefore, tanA = (3/5) / (4/5) = 3/4.

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The explicit formula for the geometric sequence 10,30,90,180

alukav5142 [94]

Answer:

$a_{n}$ = 10 $(3)^{n-1}$

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 10 and r = 30 ÷ 10 = 3, thus

$a_{n}$ = 10 $(3)^{n-1}$

7 0

2 years ago

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Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Dima020 [189]

Answer: OPTION C

Step-by-step explanation:

Remember that:

$\sqrt[n]{a^n}=a$

And the Product of powers property establishes that:

$a^m*a^n=a^{(mn)}$

Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

$18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2$

Substitute into the expression, then:

$\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }$

Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

8 0

2 years ago

Write a situation that could be represented by the algebraic expression below: <br> 2a + 3b

Damm [24]

Answer:

You have 2 mystery boxes and you add them to 3 mystery bags. Each has a different amount of things represented by a and b.

Step-by-step explanation:

6 0

3 years ago

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Nalani says the expression 2+5x cannot be factored using the GCF. Is she correct? Explain why or why not

serious [3.7K]

The correct answer would be D, because there’s no other leading common factors between the two besides one.

5 0

2 years ago

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Solve for x {x+4]= 6

wlad13 [49]

The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have an equation:

x(x + 4) = 6

By distributive property:

x² + 4x = 6

x² + 4x - 6 = 0

a = 1, b = 4, c = -6

Plugging all the values in the formula:

$\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}$

After calculating:

$\rm x = \dfrac{-4 \pm\sqrt{40}}{2}$

$\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}$

Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

6 0

2 years ago

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