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3 years ago

Which line is the graph of y= -2x+2? D B A C

Mathematics

2 answers:

Lilit [14]3 years ago

8 0

The answer is line b

abruzzese [7]3 years ago

5 0

The answer is b because in y=mx+c, m is the gradient and c is the y-intercept. since the y-intercept is 2, we can safely discard d as an option. when a gradient is -2, it is a negative graph which means a and c is out. so, you’re left with b!

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Please someone help me to prove this.

morpeh [17]

Answer: see proof below

Step-by-step explanation:

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

Proof LHS → RHS

LHS: 2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]

Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]

Distribute: cos²2A + 2cos2A·sin2A + sin²2A

Pythagorean Identity: 1 + 2cos2A·sin2A

Double Angle: 1 + sin4A

LHS = RHS: 1 + sin4A = 1 + sin4A $\checkmark$

6 0

3 years ago

WILL GIVE BRAINIEST TO THE PERSON THAT ANSWERS ALL THREE QUESTIONS ASAP!

Radda [10]

Answer:

1. Your answer would be C) 2√3-5√2.

2. Your answer would be -39.7i.

3. Your answer would be -1.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How do I work this out

alukav5142 [94]

9514 1404 393

Answer:

no, it is good for 2 weeks (almost 3)

Step-by-step explanation:

The volume of the pool is ...

V = LWH

V = (20 m)(8 m)(1.8 m) = 288 m³

Then the amount of chlorine powder needed for 1 week is ...

(300 g/(50 m³)) × (288 m³) = 1728 g

A box of 5000 g holds enough chlorine for ...

(5000 g)/(1728 g/treatment) = 2.89 treatments

A box of chlorine powder is enough for 2 weeks, not 4.

5 0

3 years ago

Last year, Laura had $30,000 to invest. She invested some of it in an account that paid 7% simple interest per year, and she inv

mina [271]

Answer:

it would be 45%

Step-by-step explanation:

7 0

3 years ago

Is C=pi d partial variation or direct or neither

Marizza181 [45]

This is a direct variation

C = pi*d

pi is a constant and it does thru (0,0)

3 0

3 years ago