Answer:
x = 6 or x = -3/2
Step-by-step explanation:
Solve for x:
16 x^2 - 72 x + 145 = 289
Hint: | Write the quadratic equation in standard form.
Divide both sides by 16:
x^2 - (9 x)/2 + 145/16 = 289/16
Hint: | Solve the quadratic equation by completing the square.
Subtract 145/16 from both sides:
x^2 - (9 x)/2 = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 225/16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 9/4)^2 = 225/16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 9/4 = 15/4 or x - 9/4 = -15/4
Hint: | Look at the first equation: Solve for x.
Add 9/4 to both sides:
x = 6 or x - 9/4 = -15/4
Hint: | Look at the second equation: Solve for x.
Add 9/4 to both sides:
Answer: x = 6 or x = -3/2
Answer:
volcano Loihi
Step-by-step explanation:
Distance between volcano top and sea level is the summit elevation :
Summit elevation of volcano kliauea = 1227 miles
Summit elevation of volcano Loihi = - 969 m
The summit closer to sea level is that whose absolute summit level elevation is smaller :
Absolute values :
volcano kliauea = 1227 m
volcano Loihi = |-969| = 969 m
969 < 1227
Hence, volcano Loihi is closer to sea level
So 5/8 of $24
5/8 * 24
15
Joshua spent $15.
Hope this helps :)
<h2>
The required "option B) xy = 12" is correct.</h2>
Step-by-step explanation:
Check the options:
A) 4x = 12
Dividing both sides by 4, we get
⇒ x = 3
4x = 12 is a linear equation in one variable x.
B) xy = 12
xy = 12 is a non-linear equation.
D) 3x - 6y = 12
Dividing both sides by 3, we get
⇒ x - 2y = 4
3x - 6y = 12 is a linear equation in two variables x and y.
Thus, the required "option B) xy = 12" is correct.
