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3 years ago

Which verbal expression best describes the algebraic expression 2x ÷ 4?

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

7 0

Answer:

The quotient of two times some number and four

Step-by-step explanation:

Before we can know the verbal expression of the algebraic expression 2x÷4, we need to understand that division means quotient in Mathematics.

2x is the product of 2 and a number 'x' or two times some number x.

2x÷4 will be the quotient of two times some number x and 4

expeople1 [14]3 years ago

3 0

(2x) / 4 ......The quotient of 2 times some number and four

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Find exact values for sin θ, cos θ and tan θ if sec θ = 6/5 and tan θ < 0

k0ka [10]

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{6}{5}\cfrac{\leftarrow hypotenuse}{\leftarrow adjacent}
\\\\\\
$

$\bf \textit{so.. using the pythagorean theorem, we get}
\\\\\\
c^2=a^2+b^2\implies \pm \sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite
\end{cases}
\\\\\\
\textit{that simply means that }\pm \sqrt{6^2-5^2}=b\implies \pm \sqrt{11}=b$

but.. which is it, the positive or negative version of "b"? well.... we know tangent is < 0, that's another way of saying, tangent is negative

now.. .tangent is opposite over adjacent... for tangent to be negative, the sign of those two must differ

so.. where does that happens? well, it happens on the 2nd and 4th quadrants, so..... which quadrant then?

well, we know the hypotenuse is always positive, is just the radius anyway, and in this case is 6
but the adjacent is positive 5, that means the adjacent is positive, thus the opposite must be negative, and that happens on the 4th quadrant

so that means $\bf -\sqrt{11}=b$

so... now, you have all three sides, the hypotenuse, the adjacent, and the opposite, so, just fill those in, in the ratios for cosine, sine and tangent

6 0

3 years ago

Please help me it says find the measure of c and b and I don’t know how if you can help me with this exam it would be much appre

noname [10]

Answer:

b=20

C=160

Step-by-step explanation:

160+b= 180 (sum of angle on the straight line)

b=180-160

b=20

b+c =180 (sum of angle on the straight line)

20+c=180

c=180-20

C=160

6 0

2 years ago

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Answer:

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7 0

3 years ago

Read 2 more answers

The population of a city has decreased by 35% since it was last measured. If the current population is 9100 , what was the previ

Alina [70]

The previous population was 14000.

Explanation

The population decreased by 35% since the last measurement. So the current population is less than the previous population.

current population=9100

previous population =x

current population is 35% less than the previous population x

$9100=x*(100-35)/100\\9100=(x*65)/100\\x=(100*9100)/65=14000$

The previous population was 14000.

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3 years ago

Jeffrey's brother max is 5 years older than twice Jeffrey's age. Write an expression that represents the relationship of Max's a

Illusion [34]

Jeffrey = J
Max = M

M = 2j + 5

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3 years ago