Answer:
Step-by-step explanation:
No solutions....means the lines are parallel...means ur 2 equations have to have the same slope but different y intercepts
y = 2x + 4 and y = 2x + 3
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Infinite solutions...means u have the same line
y = 2x + 4 and 2y = 4x + 8....notice how if u reduce the 2nd one by dividing everything by 2 u get y = 2x + 4...same line
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1 solution....means ur equations will have different slopes and different y intercepts.
y = 2x + 4 and y = 4x + 2
now, u can pick which one u want :)
2-1 reversed is turning it around : 1-2 which equals -1 because there is one left over. B is your answer and hoped I helped!
Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0
Answer:
1) $30,821 ( loan balance after 3 months in )
2) 8.56%
Step-by-step explanation:
Final Amount of compound interest: A = P ( 1 + i ) ^ n
p = principal = $30,000
r = interest rate = 11.41% = 0.1141
n = number of years
1) Loan balance after 3 months
n = 3/12 = 0.25 years
A = 30,000 ( 1 + 0.1141 ) ^ 0.25
= $30,821 ( loan balance after 3 months in )
2) Loan Balance after 1 year
A = 30,000 ( 1 + 0.1141 ) ^ 1
= $33423
interest on loan = 33423 - 30,000 = $3423
percentage of $40,000 is $3423
= 3423 / 40,000 * 100
= 8.56%