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3 years ago

Okay have reposted it.

Mathematics

2 answers:

Delvig [45]3 years ago

6 0

Answer:

Step-by-step explanation:

vredina [299]3 years ago

5 0

Angle 14 is vertical :)

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What is the slope of the equation y – 3 = –4(x – 5)? –4 –3 20 23

lozanna [386]

Answer:

-4

Step-by-step explanation:

This equation is in point-slope form. y-y = m(x-x). m represents the slope, and -4 is in that spot. Hope this helps!!!!

6 0

3 years ago

Ralph graphs line e through points (3, 6) and (12, 10) and line f through points(4, 1) and (13, 5). What can be concluded about

Lemur [1.5K]

Answer:

I think it’s b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please verify the following trigonometric identities.

Nina [5.8K]

Seems like there is a correction in the first question (RHS is tanx.tany)

(i) For convenience: let tanx = a ; tany = b

Thus, tanx + tany = a + b

Moreover, cotx = 1/tanx = 1/a ; coty = 1/b

Thus,

cotx + coty = 1/a + 1/b = (a + b)/ab

Hence,

=> (tanx + tany)/(cotx + coty)

=> (a + b) / { (a + b)/ab }

=> ab(a + b)/(a + b)

=> ab => tanx.tany , proved.

(ii) For convenience: let sinx = a ; cosx = b

As we know, sin²x + cos²x = 1 => a²+b²=1

=> (a³ + b³)/(a + b)

=> (a + b)(a² + b² - ab) / (a + b)

=> (a² + b² - ab)

=> 1 - ab => 1 - sinx.cosx , proved

(iii): let x/2 = A

=> tan(x/2) + cosx.tan(x/2)

=> tanA + cos2A.tanA

=> tanA [1 + cos2A]

=> tanA (2cos²A) {1+cos2A = 2cos²A}

=> (sinA/cosA) (2cos²A)

=> sinA (2cosA)

=> 2sinAcosA

=> sin2A

=> sin2(x/2)

=> sinx proved

Letting x/2 = A is not mandatory. I did it to decease words*(in a line).

<u>Indentities used</u>:

• sin²A + cos²A = 1

• (a³ + b³) = (a + b)(a² + b² - 1)

• 1 + cosA = 2 cos²(A/2)

• tanA = sinA/cosA.

• 2sinAcosA = sin2A

8 0

3 years ago

Read 2 more answers

What is the LCD of 11/15 and 5/6

wolverine [178]

The LCD of 15 and 6 is 30

3 0

3 years ago

Brand A has packed 24 pencils for 7.49. Brand B pack 28 pencils for 9.97. Find the unit price foe each brand. Then state which b

user100 [1]

The unit price of Brand A pencil is 0.312 and unit price of Brand B pencil is 0.356. Brand A pencil is better to buy based on unit price

<u>Solution:</u>

Given that

Brand A has packed 24 pencils for 7.49

Brand B has packed 28 pencils for 9.97

Need to find the unit price of pencil for each brand.

For Brand A, price of 24 pencils = 7.49

So price of 1 pencil of brand A $=\frac{7.49}{24}=0.312$

For Brand B, price of 28 pencils = 9.97

So price of 1 pencil of brand B $=\frac{9.97}{28}=0.356$

As price if 1 pencil of brand A that is 0.312 is cheaper than 1 pencil of brand B that is 0.356

Hence good deal is to buy Brand A pencil

3 0

3 years ago