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3 years ago

Explain what is meant by the following, illustrate with an example: "for any real numbers, p and q, p-q=(-q)."

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

The p represents number 7

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How do you do...<br> cos2x-sin2x=1-2sin2x

Bess [88]

$sin (2 \alpha) =2\cdot sin \alpha \cdot cos \alpha \\cos(2 \alpha )=1-2sin^2 \alpha \\-------------------- \\cos2x-sin2x=1-2sin2x\\cos2x+sin2x=1\\1-2sin^2x+2sinx\cdot cosx=1\\-2sinx(sin x-cosx)=0\\ -2sinx=0\ \ \ \ or\ \ \ \ sinx-cosx=0\\\\1)\ -2sinx=0\ \ \Leftrightarrow\ \ sinx=0\ \ \Leftrightarrow\ \ x_1=k \pi \ \ and\ \ k\in I\\2)\ \ sinx-cosx=0\ \ \Leftrightarrow\ \ sinx=cosx\ /:cosx\ \ \ \ \ \wedge\ \ \ \ cos x \neq 0\\tanx=1\ \ \Leftrightarrow\ \ x_2= \frac{ \pi }{4} +k \pi \ \ and\ \ k\in I$

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3 years ago

Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).

LiRa [457]

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

For RS:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(4-3)^2+(4-2)^2}=2.24 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-3}{4-2}=0.5$

For RT:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-3)^2+(5-2)^2}=4.24 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-3}{5-2}=-1$

For ST:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-4)^2+(5-4)^2}=4.12 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-4}{5-4}=-4$

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

Find out more on linear equation at: brainly.com/question/14323743

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2 years ago

Abby is not a morning person and needs to plan on what time to wake up for a morning class. She

MArishka [77]

Answer:

OF COURSE SHE ISNT A MORNING PERSON. Anyway....

8:45-25 minutes is 8:20. -30 minutes from that, and you get 7:50. PRESUMING she wants to get to class the SECOND the bell rings, she should leave at 7:50!

:))

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1 year ago

Which one is ASA, AAS, HL, SSS, SAS

irina1246 [14]

Answer:

1. ASA

2. AAS

3. AAS

4. SSS

5. SSS

6. not sure which triangles are number 6

7. SAS

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3 years ago

The number of students at maritas school decreased to 98 percent of last years number. Currently, there are 1,170 students. How

Salsk061 [2.6K]

1055 students were in the school last year

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3 years ago