in this problem what you are really looking for is which of these sets is a pathagorean triple. That means it will solve the pathagorean theorem. (a sqaured + b squared = c squared) c is always going to be the largest number or the hypotenuse. if you plug all the number sets into the theorem, only one works and that is 7, 24, 25 which is your answer.
<em>So to solve for a variable, you have to isolate that variable onto one side.</em>
<h3>14.</h3>
Firstly, multiply both sides by j: 
Next, divide both sides by k and <u>your answer will be: 
</u>
<h3>15.</h3>
Firstly, add g on both sides: 
Next, multiply both sides by 5 and <u>your answer will be: 
</u>
<h3>16.</h3>
Firstly, subtract 5p on both sides: 
Next, divide both sides by 9 and <u>your answer will be 
</u>
Let x = amount invested in 2% CD and y = amount invested in 3% CD
x + y = 60000
0.02x + 0.03y = 1600
SOLVE THE 1st EQUATION FOR x AND SUBSTITUTE RESULT IN 2nd
0.02(60000 - y) + 0.03y = 1600
1200 - 0.02y + 0.03y = 1600
0.03y = 400
y = 13333.34
x = 46666.66
W=2L-3
W*L=193
replace W with 2L-3: (2L-3)L=193
2L^2-3L-193=0
Cannot factor
are you sure the numbers are correct?
If it cannot be factored, use the quadratic formula to find out L, then you can find out W
use the Pythagorean theorem to find the diagonal. I don't see an easier way.
X^2 +2x +10 = 0
D = 4 -40 = - 36
x_1,2 = (-2 +/- sqrt(-36))/2 = (-2 +/- 6i)/2 = 2(-1 +/- 3i)/2 = -1 +/- 3i
x_1,2 = -1 +/- 3i or more understandably
x_1 = -1 -3i and x_2 = -1 +3i
hope this will help you
