Answer:
<h2>1 9/20</h2>
Step-by-step explanation:
Convert the fraction to decimals by dividing
7/10 = 0.7 add 2 = 2.7
1/4 = 0.25 add 1 = 1.25
2.7 - 1.25 = 1.45 = 1 9/20
I'm always happy to help :)
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of 
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
__
<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
Answer:
2nd
Step-by-step explanation:
x=10
y²=x²+10²=200
y=10√2
