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pickupchik [31]
3 years ago
5

John is four years younger than Paul who is p years old. How old will John be in two years?

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

In two years, John will be two years younger than Paulś age today, or four years younger than Paul at the time.

Step-by-step explanation:

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anzhelika [568]
The rotation rule would be (-y, x)

Write/mark all your coordinates down. Now plot all your prime points and draw a line connecting them.

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6 0
3 years ago
Which ordered pairs are solutions to the inequality 4x+y>-6
Lilit [14]

Answer:

(-1.5, 0) and (0, -6)

Step-by-step explanation:

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2 years ago
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Please prove this........​
Crazy boy [7]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    →     C = π - (A + B)

                                    → sin C = sin(π - (A + B))       cos C = sin(π - (A + B))

                                    → sin C = sin (A + B)              cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

<u>Proof LHS → RHS</u>

LHS:                        (sin 2A + sin 2B) + sin 2C

\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C

\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C

\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C

\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)

\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]

\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B

\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C    \checkmark

7 0
3 years ago
BRAINLIESTTT ASAP!!! PLEASE HELP ME :)<br><br> Explain your answer please and show your steps/work.
algol [13]

Answer:

√x

Step-by-step explanation:

First, simplify -3⁄6 to -½. Next, according to the Negative Exponential Rule, move the denominator to the numerator to get x¹\²:

bⁿ = 1\b⁻ⁿ

Then, according to the Definition of Rational Exponents [part I], rewrite this as a radical, which in this case would be √x. This is when your numerator is 1:

ⁿ√aᵐ = aᵐ\ⁿ

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have a video that explains all six exponential rules. It is titled "Six Exponential Procedures". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concept.

4 0
2 years ago
Write the expressions "Four times the difference of a number and 1 is equal to six times the sum of the number and three. Find t
DochEvi [55]

Answer:

4(x - 1) = 6(x + 3)

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Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

8 0
3 years ago
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