Answer:
<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>
Step-by-step explanation:
PART A:
The first equation is
The second equation is
Putting the value of y from (a) in the above equation, we get
From (a) we get y = 7 - x = 7 - 15 = -8
PART B:
Here the system of equations are
From (a) we get,
Putting the above value of x in (b) we get,
Hence,
Answer:
x= 2√37
Step-by-step explanation:
First thing you want to do is find the length of the missing side where the the right angle is at. You can find that with the pythagorean theorem of the other triangle, since you are already given 2 sides.
Pythagorean Theorem
a=2
b=?
c=2√2
Plug in and solve for b.
2^2+b^2=(2√2)^2
4+b^2=8
b^2=4
b=2
Now use the pythagorean theorem again to find your x side.
a=2
b=12
c=?
2^2+12^2=c^2
4+144=c^2
148=c^2
c=√148
c=2√37
To find the total amount
The formula is
A=p (1+r)^t
A total amount?
P present value 1050
R interest rate 0.06
T time 25 years
A=1,050×(1+0.06)^(25)=4,506.46
Interest amount
I=A-p
I=4,506.46−1,050
I=3,456.46
Answer:
1/81
Step-by-step explanation:
Answer: 500$
Step-by-step explanation: 150 is 70% off the ORIGINAL price, so 150 is actually 30% off. Divide everything by 3 and you get 50$ = 10%. Multiple 50 by 10 and you get 500, your answer.