(-4n2 - 24 +n- 9n) divided by (2+5)
1 answer:
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Answer:
The correct answer is: "Option [D]".
Step-by-step explanation:
Hi student, let me help you out!
<u>....................................................................................................................................</u>
Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)
P=Parentheses,
E=Exponents,
M=Multiplication,
D=Division,
A=Addition,
S=Subtraction.
Now let's start evaluating our expression, which is
According to PEMDAS, the operation that we should perform is "E-Exponents".
Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain .
See, we raised both the numerator and the denominator to the power of 2.
Now what we should do is subtract fractions.
Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: . Now let's multiply the denominator and the numerator of the first fraction times 9:
.
See, now the fractions have the same denominator. All we should do now is subtract the numerators: .
∴, the answer is Option D.
Hope this helped you out, ask in comments if any queries arise.
Best Wishes!
When two straight lines intersect, the vertical opposite angles
intersect. the other two angles are also equal. Let the known angle be
x, then the other two adjacent angles are obtained subtracting twice of x
from 360 and dividing the result by 2.
Therefore, the table can by filled as follows:
Row 1:
Given <GEF = 120°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.
Row 2:
Given <MEH = 150°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°
<FEM is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.
Row 3:
Given that <FEM = 25°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.
Row 4:
Given that <HEG = 45°
<HEG is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.
Therefore, the table can by filled as follows:
Row 1:
Given <GEF = 120°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.
Row 2:
Given <MEH = 150°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°
<FEM is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.
Row 3:
Given that <FEM = 25°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.
Row 4:
Given that <HEG = 45°
<HEG is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.