8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.
Answer:
-2x-5y+8z+4.5=0
Step-by-step explanation:
Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so
Answer:
a_n = 28-2n
Step-by-step explanation:
Given sequence is:
26,24,22,20
We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence
The standard formula for arithmetic sequence is:
Here,
a_n is the nth term
a_1 is the first term
and d is the common difference
So,
d = 24-26
= -2
a_1 = 26
Putting the values of d and a_1
Hence, the recursive formula for given sequence is: a_n = 28-2n ..
Answer:
YES
Step-by-step explanation:
Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.
Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.
Substitute ⁵/4 in y = kx
We would have:
y = ⁵/4x.
Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.
Let's plug in (16, 20) into y = ⁵/4x.
Thus substitute x = 16 and y = 20, we have:
[tex] 20 = \frac{5}{4}(16) [/trex]
[tex] 20 = (5)(4) [/trex]
[tex] 20 = 20 [/trex]
It makes the equation true. Therefore, the point, (16, 20) is a point on line l.
Answer:8
Step-by-step explanation:
