Answer:
The variable y = 2.100
Step-by-step explanation:
Here, we are told to solve for the variable y.
We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;
XZ = XY + YZ
Now, we have that S is between R and T.
Mathematically that means;
RT = RS + ST
from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7
Now, insert these values into the alphabetical equation;
26 = (9y-2) + (y + 7)
26 = 9y-2 + y + 7
26 = 9y+y -2 + 7
26 = 10y + 5
26-5 = 10y
10y = 21
y = 21/10
y = 2.1
Which is y = 2.100 to three decimal places
The answer is C.) An isosceles triangle
The table with x=0, 1,2 y= 2,-1,-4
Answer:
a) 3
b) 9
c) 81
d) x
Step-by-step explanation:
We know the properties of log function as:
1) log(AB) = log(A) + log(B)
2) 
3) log(aᵇ) = b × log(a)
also,
4) 
Given:
a. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(3) × log(3)
using 4, we get
log(y) = 
× log(3)
or
log(y) = 1 × log(3)
taking anti-log both sides
y = 3
b. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(9) × log(3)
using 4, we get
log(y) = 
× log(3)
or
log(y) = log(9)
taking anti-log both sides
y = 9
c. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(81) × log(3)
using 4, we get
log(y) = 
× log(3)
or
log(y) = log(81)
taking anti-log both sides
y = 81
d. y = 
Now,
taking log both sides, we get
log(y) = 
using 3, we get
log(y) = log₃(x) × log(3)
using 4, we get
log(y) = 
× log(3)
or
log(y) = log(x)
taking anti-log both sides
y = x
Answer:
Yes, (6, -2) is a solution.
Step-by-step explanation:
See if it is a solution by plugging in the x and y values into the inequality. If it makes the inequality true, it is a solution. If it makes it false, it is not a solution.
6x - 4y > 24
6(6) - 4(-2) > 24
Simplify:
36 + 8 > 24
44 > 24
This is true, meaning that (6, -2) is a solution to the inequality.
Yes, (6, -2) is a solution.
