Answer:
x=1/6
Step-by-step explanation:
1/2-1/3=x
x=1×3-1×3/6 [ take l.c.m]
x=3-2/6
x=1/6 .
Answer:
See below
Step-by-step explanation:
By the Triangle Inequality Theorem, if given side lengths 
, 
, and 
, where is the longest side, then 
<u>Problem A</u>
This set of side lengths creates a triangle since 
<u>Problem B</u>
This set of side lengths creates a triangle since 
, which is known as an equilateral triangle since all of its side lengths are equal to each other
<u>Problem C</u>
This set of side lengths creates a triangle since 
The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...
d² = 65² +102²
d = √(4225 +10404) = √14629 ≈ 120.95
The appropriate choice is ...
... c. 121 miles
Answer:
there are 25 students in the class and 15 who wear glasses.
You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.
If this were homework or a test, you'd get full credit only if you follow the directions given.
If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or m =-3. Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.
If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:
m = 14/7 = 2. Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.
Where do the 2 lines intersect? Set the 2 equations equal to one another and solve for x:
</span>y = -3x + 2 = y = 2x + 7. Then 5x = 5, and x=1.
Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.
That results in the point of intersection (2,9).
Doing this problem by graphing, on a calculator, produces a different result: (-1,5), which matches D.
I'd suggest you find and graph both lines yourself to verify this. If you want, see whether you can find the mistake in my calculations.
