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3 years ago

I just need the answer to 5c - 3 (a + 3a)

Mathematics

2 answers:

alexandr1967 [171]3 years ago

3 0

Answer:

5c - 3 (4a)

Step-by-step explanation:

If you're just grouping and adding them together you would get 5c - 3 (4a).

lutik1710 [3]3 years ago

3 0

Answer:Simplifying

a = 1 + 0.3333333333b + 1.666666667c

Step-by-step explanation:

Simplifying

3a + -1b + -5c = 3

Solving

3a + -1b + -5c = 3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.

3a + -1b + b + -5c = 3 + b

Combine like terms: -1b + b = 0

3a + 0 + -5c = 3 + b

3a + -5c = 3 + b

Add '5c' to each side of the equation.

3a + -5c + 5c = 3 + b + 5c

Combine like terms: -5c + 5c = 0

3a + 0 = 3 + b + 5c

3a = 3 + b + 5c

Divide each side by '3'.

a = 1 + 0.3333333333b + 1.666666667c

Simplifying

a = 1 + 0.3333333333b + 1.666666667c

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The angle between u = (-2,-5) and v = (5,2) is 134 degrees approximately.

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We know that,

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$\text { Now vectors are }(-2 \vec{\imath}-5 \vec{\jmath}) \text { and }(5 \vec{\imath}+2 \vec{\jmath})$

$(-2 \vec{\imath}-5 \vec{\jmath}) \cdot(5 \vec{\imath}+2 \vec{\jmath})=\sqrt{(-2)^{2}+(-5)^{2}} \times \sqrt{5^{2}+2^{2}} \times \cos \theta$

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$\begin{array}{l}{-10-10=\sqrt{29} \times \sqrt{29} \times \cos \theta} \\\\ {-20=29 \times \cos \theta} \\\\ {\cos \theta=\frac{-20}{29}} \\\\ {\theta=\cos ^{-1} \frac{-20}{29}} \\\\ {\theta=133.60}\end{array}$