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4 years ago

-(3x - 12) = 9x - 4 *Hint: Distributive the negative

Mathematics

1 answer:

Deffense [45]4 years ago

8 0

Answer: x=1+1/3

Step-by-step explanation: -(3x-12)=9x-4

We move all terms to the left:

-(3x-12)-(9x-4)=0

We get rid of parentheses

-3x-9x+12+4=0

We add all the numbers together, and all the variables

-12x+16=0

We move all terms containing x to the left, all other terms to the right

-12x=-16

x=-16/-12

x=1+1/3

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Carissa pays $2.10 each day for lunch. her money is in an account that is deducted each time she buys a lunch. there are 6 days

dlinn [17]

Answer:

15¢

Step-by-step explanation:

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Answer: 15 cents

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2 years ago

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. y=(x-1)(4x+2)-4x^2

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4 years ago

Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she

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3 years ago

If p(not A)= 0.75, what is the value of P(not A)

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7 0

3 years ago

Could you please help for this?<br> Please.

Serggg [28]

Answer:

CD = 6.385 units

Step-by-step explanation:

Given triangle ABC with right angle at C.

And AB = AD + 6 .

Now, consider the triangle ABC.

⇒ cos(∠BAC) = $\frac{AC}{AB}$ (cosФ = adj/hyp)

cos(20) = $\frac{AC}{AB}$ .

0.9397 = $\frac{AD+CD}{AD + 6}$

(since AB = AD + 6 and AC = AD + CD)

⇒ 0.9397 AD + 5.6382 = AD + CD

⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)

⇒ sin(∠BAC) = $\frac{BC}{AB}$ (sinФ = opp/hyp)

sin(20) = $\frac{BC}{AB}$ .

⇒ BC = AB sin(20) . →→→→→(2)

Now, consider the triangle BCD,

sin(∠BDC) = $\frac{BC}{CD}$

⇒ sin(80) = $\frac{BC}{CD}$

CD = $\frac{BC}{sin(80)}$

From (2), CD = $\frac{AB sin(20)}{sin(80)}$ .

⇒ CD = AB (0.3473)

⇒ CD = (AD + 6) (0.3473)

⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)

Now, (1) →→ CD = 0.0603 AD + 5.6382

(3) →→ CD = 0.3473 AD + 2.0838

⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838

0.287 AD = 3.5544.

⇒ AD = 12.3847

⇒ From (1), CD = 0.0603(12.3847) + 5.6382

⇒ CD = 6.385 units

7 0

4 years ago