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vladimir2022 [97]
3 years ago
11

Distribute the expression. 6(3r2 – 4r + 7)

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

18r^2 - 24r + 42

Step-by-step explanation:

Harlamova29_29 [7]3 years ago
5 0
18r^2 - 24r + 42. When you want to express something as squared or with an exponent you put ^ this symbol then the number(s)
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The density of a certain material is such
tamaranim1 [39]

Answer:

0.0768 kilograms per cup

Step-by-step explanation:

I got this answer from DeltaMath. Trust me :)

4 0
2 years ago
I just need no. a please help me to prove this. ​
OleMash [197]

Answer:  see proof below

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

Given: A + B + C = π    and         cos A = cos B · cos C

scratchwork:

  A + B + C = π

               A = π - (B + C)

         cos A = cos [π - (B + C)]                              Apply cos

                    = - cos (B + C)                                    Simplify

                    = -(cos B · cos C - sin B · sin C)          Sum Identity

                    = sin B · sin C - cos B · cos C               Simplify

cos B · cos C = sin B · sin C - cos B · cos C               Substitution

2cos B · cos C = sin B · sin C                                        Addition

                     2=\dfrac{\sin B\cdot \sin C}{\cos B \cdot \cos C}                                     Division

                     2 = tan B · tan C

\text{Use the Sum Identity:}\quad \tan(B+C)=\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}

<u>Proof LHS → RHS</u>

Given:                              A + B + C = π

Subtraction:                     A = π - (B + C)

Apply tan:                  tan A = tan(π - (B + C))

Simplify:                               = - tan (B + C)

\text{Sum Identity:}\qquad \qquad \qquad =-\bigg(\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}\bigg)

Substitution:                        = -(tan B + tan C)/(1 - 2)

Simplify:                               = -(tan B + tan C)/-1

                                            = tan B + tan C

LHS = RHS:   tan B + tan C = tan B + tan C  \checkmark

5 0
2 years ago
Melissa collects data on her college graduating class. She finds out that of her classmates, 60% have brown hair, 20% have blue
Viefleur [7K]

Answer:

your answer is 0.75

Step-by-step explanation:

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Cheryl is now x years old. Her cousin is ⅓ Cheryl’s age. Find her cousin’s age in terms of x.
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x/3= her cousins age

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