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2 years ago

6

Find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-x-4

1 answer:

Elena L [17]2 years ago

5 0

Answer: y=x
The slope of the perpendicular line is the opposite reciprocal. So you do -(-1/1) which equals 1. So now we have y=x+b. Plug (3,3) into this and you get 3=3+b. So b=0 and the equation is y=x

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Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co

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Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

Hi

We define

$B_{A}=1oz @ 35\%$ , wich means Brand A has 1 oz containing 35% peanuts.

$B_{B}=1oz @ 25\%$ , wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) $B_{a}+B_{b}=21$

(2) $0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21$ , after fixing it a little

(2) $0.35B_{a}+0.25B_{b}=6.09$

As we can use any method to solve the system, I used a calculator wich thrown the following results $B_{a}=8.4 \ oz$ and $B_{b}=12.6 \ oz$ .

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