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4 years ago

Which statement are true based on the diagram? Select 2 options

Mathematics

2 answers:

Step2247 [10]4 years ago

3 0

Answer:

second and last are true

Step-by-step explanation:

Iteru [2.4K]4 years ago

3 0

Answer:

Points J, K and Q are collinear

and

There is only one line that can be drawn through points L and P

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Prove each of these identities.

Virty [35]

<h3>Answer:</h3>

➲ ( 1 + sec x )( cosec x - cot x ) = tan x

Solving for L.H.S

$\implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }$

$\implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}$

$\implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}$

$\implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}$

$\implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}$

$\implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}$

$\implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }$

$\implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }$

➲ ( 1+ sec x )( 1- cos x ) = sin x. tan x

Solving for L.H.S

$\implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}$

$\implies\quad \sf{\left(1+\dfrac{1}{cos\:x} \right) \left( 1-cos\:x\right)}$

$\implies\quad \sf{ \left(\dfrac{cos\:x+1}{cos\:x} \right)(1-cos \:x)}$

$\implies\quad \sf{\dfrac{1-cos^2 x}{cos\:x} }$

$\implies\quad \sf{\dfrac{sin^2x}{cos\:x} }$

$\implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }$

$\implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }$

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3 years ago

A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues

Katyanochek1 [597]

Answer: The answer to this question is 10 :D

Step-by-step explanation:

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3 years ago

Which two types of cars have equivalent ratios of miles traveled to hours of time during the trip?

dmitriy555 [2]

<h2>Answer: lexus,chevrolet</h2>

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Fraction less than 5/6 with a denominator of 8

e-lub [12.9K]

7/8 is the answer hope this helps

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3 years ago

What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?

vitfil [10]

9514 1404 393

Answer:

x in {-6, -2, 4}

Step-by-step explanation:

The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.

x +6 = 0 ⇒ x = -6

x -4 = 0 ⇒ x = 4

x +2 = 0 ⇒ x = -2

The zeros of the function are the x-values -6, -2, and 4.

5 0

3 years ago