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ziro4ka [17]
3 years ago
10

Distribute and combine like terms. 3(5a-4b-6)-2(2a+2b+4) I need help

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

11a-16b-26

Step-by-step explanation:

Distribute 3 into first equation.

15a-12b-18.

Distribute -2 into second equation.

-4a-4b-8.

Rewrite as one equation 15a-12b-18-4a-4b-8.

Combine like terms 11a-16b-26

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A scientist discovers a new way to produce vitamin C. In 15 hours, 678 kilograms are produced. In 25 hours, 1018 kilograms are p
satela [25.4K]

Answer:

The equation of the line is y = 34\cdot x + 168.

Step-by-step explanation:

According to Analytical Geometry, we know that any equation of the line can be determined by knowing two distinct points on Cartesian plane. From statement we get that:

y(15\,h) = 678\,kg (1)

y (25\,h) = 1018\,kg (2)

By applying the definition of the equation of the line, we form this system of two linear equations with two variables:

15\cdot m + b = 678 (3)

25\cdot m + b = 1018 (4)

By algebraic mean we get the following solution:

m = 34\,\frac{kg}{h} and b = 168\,kg

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3 years ago
Describe how to find the number of weeks equal to 56 days
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350 is what percentage of 50?
denpristay [2]

Answer:

175

Step-by-step explanation:

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What polynomial should be added to 4x²+5x-8 in order to equal 0?
Klio2033 [76]
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8 0
4 years ago
Sin(-180° + θ) = ________
Svet_ta [14]

Answer:

\sin\left(-180^o+\theta\right)=-\sin\left(\theta\right)

Step-by-step explanation:

We need to find the value of \sin(-180^o+ \theta)

So let's apply formula

\sin\left(A+B\right)=\sin\left(A\right)\cos\left(B\right)+\sin\left(B\right)\cos\left(A\right)

\sin\left(-180^o+\theta\right)=\sin\left(-180^o\right)\cos\left(\theta\right)+\sin\left(\theta\right)\cos\left(-180^o\right)

\sin\left(-180^o+\theta\right)=0\cdot\cos\left(\theta\right)+\sin\left(\theta\right)\cdot\left(-1\right)

\sin\left(-180^o+\theta\right)=0-\sin\left(\theta\right)

\sin\left(-180^o+\theta\right)=-\sin\left(\theta\right)

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