We have a right triangle with a 15m hypotenuse and a 8m leg. If we use x for the missing leg then the Pythagorean Theorem states that:
Then we have to solve that equation for x:
![\begin{gathered} x^2=15^2-8^2=225-64 \\ x^2=161 \\ x=\sqrt[]{161} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D15%5E2-8%5E2%3D225-64%20%5C%5C%20x%5E2%3D161%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B161%7D%20%5Cend%7Bgathered%7D)
So the answer is the square root of 161.
4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
60x = 45(x+1) + x(x+1)
60x = 45x + 45 + x^2 + x
x^2 - 14x + 45 = 0
(x-9)(x-5) = 0
The answer to this question is that the solutions are x=9 and x=5.
Answer:
The answer is C. 3x+y=7, 6x+2y=10
Step-by-step explanation:
Answer:
$594.03
Step-by-step explanation:
Using the exponential function;
A = Pe^-rt
Principal = $960
Rate r = 12% = 0.12
Time t = 4years
Substitute
A = 960e^-(0.12*)*4
A = 960e^-0.48
A = 960(0.61878)
A = 594.03
HEnce the worth after 4years will be $594.03
Let's call job one x.
Job two can be y.
Jason earned $3,700 more from job y than x. Therefore y = x + 3700
From the two jobs, Jason earned $15,900. This can be written as x + y = 15900.
Now substitute y for x + 3700:
x + x + 3700 = 15900
2x + 3700 = 15900
Subtract 3700 from both sides:
2x = 12200
Divide both sides by 2:
x = 6100
Take the original equation x + y = 15900 and substitute x with 6100:
6100 + y = 15900
y = 9800
Job one (x) paid Jason $6,100.
Job two (y) paid Jason $9,800.
