Answer:
5/8,-5√2,{(2x+3)(x-5)}
Step-by-step explanation:
1) 5x-10/8x-16
=5(x-2)/8(x-2)
=5/8
2) √32-3√18
=4√2-3√18
=4√2-9√2
=(4-9)√2
= -5√2
4) 2x^2-7x-15
=2x^2+3x-10x-15
=(2x+3),(x-5)
Answer:
(-2.2, -1.6), (3, 1)
Step-by-step explanation:
You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.
Use the first equation to write an expression for x, then substitute that into the second equation:
x = 2y +1
y^2 -3(2y+1)(y) +8 = 0
-5y^2 -3y +8 = 0
-(5y +8)(y -1) = 0
y = -8/5 or y = 1
The corresponding values of x are ...
x = 2(-8/5)+1 = -11/5
x = 2(1) +1 = 3
The solutions are (x, y) = (-2.2, -1.6) and (3, 1).
Answer:
15
Step-by-step explanation:
Int angle : Ext angle : Total
13 : 2 : 15 (13+2)
We know that, int angle + ext angle = 180
Let's introduce a variable x to help solve this ratio
Our ratio is now - 13 x : 2 x : 15x
Use your total ratio and equate it to your total angle size
15 x = 180
x = 180 / 15 = 12
So,
Int angle = 13 x = 13 (12) = 156
Ext angle = 2 x = 2 × 12 = 24
Now, use this formula.
Ext angle = 360 / n
(n represents your number of sides)
24 = 360 / n
n = 360 / 24 = 15
Answer:
Explained below.
Step-by-step explanation:
Debit resequencing is a practice whereby a bank will process the debit and credit to an account in such a way that it causes account balances to fall faster which in turn leads to a boost in potential overdraft fees.
This is how it works;
For example, if you send two cheques on a given date — one sent to your credit card company for $300 and the second one sent to your local electric company for $150, the credit card company and the local electric company will try to get their money from your account on the same date. Now, you've set up an automatic withdrawal to pay your rent which also hits your account with your rent being is $600.
Now, if on the date that those three amount of money above hits your account, you have a balance of say $175, the bank could clear the $150 charge first, thereby resulting in two overdraft fees.
However, Instead of that process above, many banks use a software that reorders the transactions. This software will first of all present the $600 charge, followed by the $300 charge and then finally the $150 charge. In this way, you will end up paying three overdraft fees rather than just two. Banks normally use this method in order to maximize profit rather than with the aim of pleasing their customers.
Debit resequencing is a practice used by some banks to change the order in which debit card transactions are processed. It often results in additional fees for the account holder as transactions are rearranged based on amounts or types. However, not all banks engage in this practice.
Debit resequencing is a practice used by some banks to change the order in which debit card transactions are processed, often resulting in additional fees for the account holder. This process involves rearranging the order of transactions from highest to lowest amount or by type, such as ATM withdrawals or online purchases.
For example, let's say you have $100 in your account and make two transactions: a $90 purchase followed by a $20 purchase. Instead of processing the transactions in the order in which they occurred, a bank using debit resequencing may instead process the $20 purchase first, resulting in an overdraft fee for the $90 purchase.
Debit resequencing has been a controversial practice as it can lead to unexpected fees for account holders. However, it is important to note that not all banks engage in this practice, and some have implemented policies to prevent debit resequencing.
#SPJ3
b. Segment CB is a hypotenuse.
c. Segment CA is shorter than segment BA.
d. Angle C is congruent to itself.
Answer:
The correct answer is option A.
Step-by-step explanation:
For the given triangles to be similar the segment AD must be an altitude of ΔABC.
We can provide a theorem for the same:
If we draw an altitude from the right angle of any right triangle, then the two triangles formed are similar to the original triangle.
Also all the three triangles are similar to each other.
Like here, in the triangle ABC, we draw an altitude from A to the side BC, thus forming 2 triangles; ΔDBA and ΔDAC. These both will be similar to ΔABC.
So, by the theorem it is proven that ΔABC is similar to ΔDBA.
Therefore, option A is correct.
Q2) x^2-16x+64=144
3Q) x^2-2x+1=81
Answer:
Q2 :) hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.
cos(0.1309 H) = -0.4336 tan (40o 46 minutes) I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.
cos(0.1309 H) = -0.4336 tan (40 46/60 )
cos(0.1309 H) = -0.4336 tan (40.766666667)
cos(0.1309 H) = -0.4336 * -0.074173405
cos(0.1309 H) = 0.032161588
0.1309 H = cos-1(0.032161588)
0.1309 H = 1.538629191
H = 1.538629191 / 0.1309
H = 11.754 which is no where near 15 hours, but it is what the numbers give.
I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.
The other two cities should come to something near this answer.
Answer:
Step-by-step explanation:
Slope= -3/1
plot from point (-2,4)