<h2>
Rewriting Words as Equations</h2>
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
- <em>twice</em> = multiply by 2
- <em>difference</em> = subtract
- <em>'a number'</em> = let this be <em>x</em>
- <em>is</em> = equals
<h2>Solving the Question</h2>
We're given:
- Twice the difference of a number and 6 is 5
⇒ twice = (2 ×)
⇒ difference of a number and 6 = (x - 6)
⇒ is 5 = ( = 5)
To solve for <em>x</em>, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x =
<h2>Answer</h2>
favorable
it is unfavorable if the value is less than 0
fair if the value is equal to 0
favorable if the value is more than 0
Answer:
55 =x
Step-by-step explanation:
x+15=2x-40
Subtract x from each side
x-x+15=2x-x-40
15 = x-40
Add 40 to each side
15+40 = x-40+40
55 =x
1) <span>Choose the quadrant in which the terminal side of this standard position angle is located
</span><span>-300°
</span><span>is equivalent to an angle of 60 degrees from the first quadrant
</span><span>therefore
the answer is the option A
I quadrant
2)</span><span>Choose the quadrant in which the terminal side of this standard position angle is located:
120°
</span>is equivalent to an angle of 60 degrees from the second quadrant
the answer is the option B
II quadrant
3)<span>Choose the quadrant in which the terminal side of this standard position angle is located:
-135°
</span>is equivalent to an angle of 45 degrees from the third quadrant
the answer is the option C
III quadrant
Answer:
x = 8.3 is the value of x.
Step-by-step explanation:
Given:
Let Δ ABC be a Right angle Triangle at ∠ C = 90°
AB = x
BC = 6
m∠ B = 44°
To Find:
x = ?
Solution:
We apply Cosine Rule
{tex}\cos B = \frac{\textrm{side Adjacent to angle B}}{Hypotenuse} \\{/tex]
Substituting the given values we get
The value of x is
x = 8.3