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2 years ago

Describe the steps and order you use when solving an equation that involves the distributive property and combining like terms.

1 answer:

6 0

The rule to use is PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction) When there's a number in front of one parenthesis, you distribute that number to the terms on the inside based on PEMDAS. What should also be notified is the exponent rules for multiplication and division. Then combine like terms. They have to have the same base of multiplying or dividing. Combining like terms need to have the same exponent, or whole numbers in groups.

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How do I verify this identity? I know you should write sin2a as sin(a+a).

Kisachek [45]

SOLUTION

Given the question in the image, the following are the solution steps to verify the identity

STEP 1: Write the given identity

$\sin 2\alpha=2\sin \alpha\cos \alpha$

STEP 2: Verify the identity

$\begin{gathered} \sin 2\alpha=2\sin \alpha\cos \alpha \\ \text{Consider the left hand side of the above trigonometry identity.} \\ \text{That is, }\sin 2\alpha\text{.} \\ \text{ Rewrite }\sin 2\alpha\text{ as }\sin (\alpha+a) \\ \text{ It is known that }\sin (a+b)=\sin (a)\cos b+\cos (a)\sin (b) \\ U\sin g\text{ this statement above, we have;} \\ \sin (\alpha+a)=\sin a\cos \alpha+\cos a\sin \alpha \\ \text{It is known that }xy+yx=xy+xy=2\times xy=2xy \\ U\sin g\text{ this statement above, we have;} \\ \sin a\cos \alpha+\cos a\sin \alpha=\sin a\cos \alpha+\sin \alpha\cos \alpha=2\times\sin \alpha\cos \alpha=2\sin \alpha\cos \alpha \\ \text{Hence, }\sin 2\alpha=2\sin \alpha\cos \alpha \end{gathered}$

The verification of the identity is as seen above.

7 0

1 year ago

consider this system of linear equations: y = –3x 5 y = mx b which values of m and b will create a system of linear equations wi

Blizzard [7]

No solution means that the lines are paralell and have differnt y intercepts

paralell means has same slope

y=mx+b
m=slope
b=yint

given equation is
y=-3x+5
slope=-3
yint=5

paralell so
y=-3x+b
wher b is any number except 5
example
y=-3x+4
y=-3x+√3
y=-3x-π

basically

m=-3
b=any number except 5

7 0

3 years ago

Read 2 more answers

Can someone give me a word problem for dividing these two fractions: 6 and 1/3

Alika [10]

Answer: 18

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?

sleet_krkn [62]

Answer:

1135.38

Step-by-step explanation:

100%->1015

100-6=94

94%->954.1

--------------------------------------------------

100%->954.1

119%->1135.379

≈1135.38

3 0

2 years ago

What is the answer for the question 24/p=4

4vir4ik [10]

Answer:

6=p

Step-by-step explanation:

We want to isolate p, so we can first multiply by p on both sides.

24/p=4

24=4p

Then, divide by 4.

6=p

4 0

2 years ago

Read 2 more answers