Answer:
x=22.5
Step-by-step explanation:
BM||DT
Using Intercept theorem/Intercept theorem
6(9+x)=9*21
54+6x=189
6x=135
x=22.5
At least I think so
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9
y
=
3
2
x
2
+
4
x
−
9
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
[
−
35
3
,
∞
)
Set-Builder Notation:
{
y
∣
∣
∣
y
≥
−
35
3
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
[
−
35
3
,
∞
)
,
{
y
∣
∣
∣
y
≥
−
35
3
}
image of graph
Answer:
3x6
(3)(6)
6+6+6
for represent the situation
Step-by-step explanation:
the dining room has 3 tables
and at each table there are 6 chairs so multiplication is the operation to use to find the total
therefore the other operations do not represent the situation
but 6+6+6 represents because it is also equal to 18
Answer: The required constant of proportionality is 10.
Step-by-step explanation: Given that y is directly proportional to x, and y = 150 when x = 15.
We are to find the constant of proportionality.
According to the given information, we can write
![y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~[\textup{where k is the constsnt of propotionality}].](https://tex.z-dn.net/?f=y%5Cpropto%20x%5C%5C%5C%5C%5CRightarrow%20y%3Dkx~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bwhere%20k%20is%20the%20constsnt%20of%20propotionality%7D%5D.)
When y = 150 and x = 15, we get from the above equation that
Thus, the required constant of proportionality is 10.
We may answer the question above by dividing the expression y² - 10x + 24 with the given factor, y - 4. The division would give an answer of y - 6. Thus,
<span>y² - 10x + 24 = (y - 4)(y - 6)
The answer is the fourth choice, y - 6.</span>
