Answer:
Step-by-step explanation:
-1760 is the answer 83 times 83 minus 93 times 93 is -1760
Answer:
$21.50
Step-by-step explanation:
Mr. Gutierrez had $100 to purchase candy for his students that completed their work.
He bought 8 bags of jolly ranchers
Each bag of jolly ranchers cost $3.25.
Hence, the cost of 8 bags of jolly ranchers = 8 × $3.25
= $26
He also bought 25 bags of assorted chocolate and each bag of assorted chocolate cost $2.10.
Hence, the cost of 25 bags of assorted chocolates = 25 × $2.10
= $52.5
Therefore, the amount of money Mr. Gutierrez has left over after these purchases is calculated as:
Total amount - Sum of ( Cost of 8 bags of jolly ranchers + 25 bags of assorted chocolates)
= $100 - ( $26 + $52.5)
= $100 - $78.50
= $21.50
Answer:
See below
Step-by-step explanation:
I believe that you only had to do letters F, H, and J. In that case, let's go over each one!
F: For isolating
, we need to get rid of the 1/2 first. Let's multiply each side by 2:

After this, we just subtract
from each side to get
. Dark Blue is correct! Let's now plug in those numbers below:

G: Let's isolate the vw^2 on one side by subtracting y from each side:

Let's now divide each side by v, then put each side under a square root to get our final answer:

Orange is correct! Again, let's solve the problem underneath:
w=
H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.

Purple is correct! Let's solve the problem:

Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
