<u>Answer:</u>
D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11
<u>Step-by-step explanation:</u>
We are given the following two expressions:

and

Now if we look at the option D)
and
, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.

and the later part
is already the same.
Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11.
Answer:
Step-by-step explanation:
first we need to find the slope using the slope formula :
slope = (y2 - y1) / (x2 - x1)
(-9,7)...x1 = -9 and y1 = 7
(-6,-3)....x2 = -6 and y2 = -3
now we sub
slope = (-3 - 7) / (-6 - (-9) = -10 / (-6 + 9) = -10 / 3
so our slope is -10/3
now we use y = mx + b....with m representing the slope
slope(m) = -10/3
use either of ur points....I will use (-9,7)...x = -9 and y = 7
we are solving for b, the y intercept
now we sub
7 = -10/3(-9) + b
7 = 30 + b
7 - 30 = b
- 23 = b
so ur equation is : y = -10/3x - 23
Multiply the z-score by the standard deviation:
2 x -1.5 = -3
Now add that to the mean:
49 + -3 = 46 inches.
Answer: $50
Step-by-step explanation:
Answer:

Step-by-step explanation:
we have

Solve the quadratic equation to find the zero's or x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero ( water balloon reach the ground)
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
the solution is 