KU and UM are equal to each other.
KU = 3x + 3
UM = 4x - 4
3x + 3 = 4x - 4
3x = 4x - 7
-x = -7
x = 7
If you plug that into either one of the equations, you get 24.
3(7) + 3
24
So depending on your question, x is 7, KU is 24, and UM is 24.
Answer:
y=5x+1
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(0,1) and (5,0)
m=(0-1)/(5-0)
m=-1/5
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
m1*m2=-1
m1=-1/5
substitute
(-1/5)*m2=-1
m2=5
step 3
Find the equation of the line with slope m=5 and y-intercept (0,1)
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=5
b=1
substitute
y=5x+1
Answer:
Step-by-step explanation:
xy = 300
x + y = 50 Solve for y
y = 50 - x substitute into xy = 300
x(50 - x) = 300 Remove the brackets.
50x - x^2 = 300 Bring the left to the right.
0 = x^2 - 50x + 300
This is a quadratic. It will have 2 solutions.
a=1
b = - 50
c = 300
Put these into the quadratic equation.
It turns out that x has two values -- both plus
x1 = 42.03
x2 = 6.97
x1 + y1 = 50
42.03 + y = 50
y = 50 - 42.03
y = 7,97
(42.03 , 7.97)
====================
x2 + y2 = 50
6.97 + y2 = 50
y2 = 50 - 6.97
y2 = 43.03
(6.97 , 43.03)
Answer:
72cm
Step-by-step explanation:
2 (l + w) = 254
2(55) + 2w = 254
2w = 144
w = 72cm
The 4th term of the sequence is -38
Given the following recursive function 
and, 
, we need to get the fourth term of the sequence:
For the second term:
a2 = -2a1 - 2
a2 = -2(4) - 2
a2 = -8 - 2
a2 = -10
For the third term:
a3 = -2a2 - 2
a3 = -2(-10) - 2
a3 = 20 - 2
a3 = 18
For the fourth term:
a4 = -2a3 - 2
a4 = -2(18) - 2
a4 = -36 - 2
a4 = -38
Hence the 4th term of the sequence is -38
Learn more on recursive function here: brainly.com/question/9144757
