Please help

Mathematics

1 answer:

noname [10]3 years ago

3 0

Answer:

D) 8x - 6y = 18

Step-by-step explanation:

The general equation of a line is;

y = mx + c

m is the slope and c is the y-intercept

so for;

4y + 3x = 12

4y = -3x + 12

divide through by 4

y = -3/4x + 3

the slope here is -3/4

To get the other line, we divide -1 by the slope of the first line

This is because when two lines are perpendicular, the product of their slopes is -1

So the slope of the line we are looking for is -1 divide by -3/4 = 4/3

Let us take a look at option D

8x - 6y = 18

6y = 8x - 18

divide through by 2

3y = 4x - 9

divide through by 3

y = 4/3(x) - 3

So as we can see, we have our slope as 4/3 and this option is our answer

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Factor the expression 20k + 50

Yuliya22 [10]

Answer is 10(2k+5)

-----------------------------------

Work Shown:

20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)

Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer

Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.

4 0

3 years ago

I certain brand of coffee comes into sizes a 10.5 ounce package cost $3.24 I 30.6 ounce package cost $9.88 find the unit price f

Fofino [41]

Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded

Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded

ANSWER: The first coffee is a better buy at only $0.31 cents per ounce. The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps! :)

6 0

3 years ago

Hey! Can someone please answer this?

Lelechka [254]

This picture should provide a full answer. What I did was rearrange the equation to get Tan(x) on one side, then in order to get rid of the Tan, I used Arctan, which got us the final answer.