Answer:
B
Step-by-step explanation:
Since this right angled triangle has two angles of 45, so according to theorem sides opposite to equal angles are equal
Applying Pythagoras theorem
(4√2)^2=(x)^2+(x)^2
32=x^2+x^2
32=2x^2
x^2=32/2
x^2=16
Taking sq root on both sides we get
x=4
Answer:
im not sure but i think the anwser is its self dont take my anwser its garbadge
Step-by-step explanation:
Answer: x+2 / x+ 9, x = -2, x=-9 ( A )
Solution:
Breakdown the problem into two sets
Step 1: simplify x^2 -10x - 24
Factorize the above equation,
Multiply the last term (24) with the first term coefficient i.e. 1
Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10
x2 - 12x + 2x - 24 >>>> (x2-12x) + (2x-24) >>> take common
>>>> x(x-12) + 2( x-12)
Step 3: (x + 2) (x - 12)
Step 4: Step 1: simplify x^2 - 3x - 108 using the same steps
x2 - 12x + 9x - 108 >>>> take common x(x-12) + 9 ( x -12) >>>
(x + 9) (x - 12) final product
Now, Simplify the equation as a whole
(x + 2) (x - 12) / (x + 9) (x - 12) Note: (x - 12) cancels out
= (x + 2) / (x + 9) with x= -2 and x= -9
Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!
