<span>17 1/3 + (-50 1/3) -5 1/2
= -33 - 5 1/2
= (</span>-33 ) + ( - 5 1/2)
<span>= -38 1/2
</span>
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
The two trains the same distance from Buffalo is 20
Answer:
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the 
we can deduce that 
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is 
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of which is our answer.
