Answer:
2 1/3
Step-by-step explanation:
2 1/3
9u+39=6(u+2)
multiply 6 by u and 2
9u+39=6u+12
9u-6u=12-39
3u=-27
u=-27/3
u=-9
hope this helped :)
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Answer:
radius = 5
Step-by-step explanation:
Since the line is a tangent, that means the PT and OP are perpendicular (they make a right angle) Sooo, the triangle is a right triangle. Use Pythagorean Theorem to calculate or Pythagorean Triples for a shortcut (5, 12, 13)
r^2 + 12^2 = 13^2
r^2 + 144 = 169
Subtract 144
r^2 = 25
Squareroot both sides.
sqrt(r^2) = sqrt25
r = 5
The radius is 5.
