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enot [183]
3 years ago
15

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

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Advocard [28]

Answer:

Option A $29.46 is correct.

Step-by-step explanation:

Credit card's billing cycle  = 31 days

To calculate the average daily balance we must add Carla's balance from each day in the billing cycle and divide by the number of days of the month.

( Total balance × days ) / number of days of the month

(2560 × 15) ÷31 = $1238.71

Her credit card's APR is 28%  Therefore Carla charged

(1238.71 × 0.28 × 31) ÷ 365

10,752.0028 ÷ 365 = 29.4575 Rounded to $29.46

Carla charged in interest for the billing cycle is $29.46.

6 0
3 years ago
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trapecia [35]

Answer:

Step-by-step explanation:

let ∠GEF=x

then ∠GFE=90-x

\frac{GH}{EH}=tan x\\GH=EH~ tan x\\or~ GH=a ~tan x=6 tan x\\\frac{GH}{FH}=tan (90-x)=cot x\\GH=FH*cot x\\GH=b*cot x=27 cot x\\6 tan x=27 cotx\\\frac{tan x}{cot x}=\frac{27}{6}\\tan ^2 x=\frac{27}{6}=\frac{9}{2}\\sec^2x-tan^2x=1\\sec^2 x=1+tan ^2x=1+\frac{9}{2}=\frac{11}{2}\\\frac{EG}{EH}=sec x\\ EG=EH sec x=a sec x= 6 sec x=6\sqrt{\frac{11}{2} } =3\sqrt{22} \approx 14.07

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He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
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Answer:
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measure of each of the smaller angles = 120 degrees

Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
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Now, for an octagon, n=8, this means that:
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This means that:
each one of the smaller angles = x = 120 degrees
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