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babymother [125]
3 years ago
12

If BY = 6, YC = 10, AX = 18, then XC = a: 10.8 b:5 c:30 d:48

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
5 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

BY = 6, YC = 10, AX = 18,

Since we can use the Basic proportionality theorem which states that if a line is drawn i.e. XY parallel to one side of a triangle intersecting other 2 sides i.e. AC and BC, then it divides the two sides in the same ratio.

So,

\frac{CX}{AX}=\frac{CY}{BY}\\\\\frac{CX}{18}=\frac{10}{6}\\\\CX=\frac{18\times 10}{6}\\\\CX=3\times 10\\\\CX=30

The value of CX= 30

Hence, Option 'C' is correct.

vampirchik [111]3 years ago
3 0
To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,

    BY/YC = AX/XC

Substituting the known values,

    6/10 = 18/XC

The value of XC from the equation is 30. The answer is letter C. 
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5 0
2 years ago
Sketch a graph of the polynomial function f(x) =x3− 2x2. Use it to complete the following:
AlladinOne [14]

Answer:

We have the function:

f(x) = x^3 - 2*x^2

To sketch this, we need to graph some points, and then just draw a line that passes through the points.

The graph of this equation is shown below.

Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

If the graph is above the x-axis in some interval, the function is positive in that interval.

If the graph goes up in a interval, then the function is increasing in that interval

If the graph goes down on an interval, then the function is decreasing in that interval.

Then:

1) f is------ on the intervals (−∞, 0) and (0, 2).

Here we can see that the graph is below the x-axis in those intervals, then here we have:

f is negative on the intervals (−∞, 0) and (0, 2).

2) f is------ on the interval (2,∞)

Here the answer is positive:

f is positive on the interval  (2,∞)

3) fi is ------ on the interval (0, 4/3)

In the graph, you can see that the graph goes down in that interval, then the correct answer here is:

f is decreasing on the interval (0, 4/3)

4) f is------ on the intervals (−∞, 0) and (4/3, ∞).

In this case, we can see that the graph goes up in these intervals, then the correct answer here is:

f is increasing on the intervals (−∞, 0) and (4/3, ∞).

5 0
3 years ago
Write an equation of the line.<br><br><br><br> y = _____<br><br><br><br> Use x as your variable.
muminat

Answer:

y= -2x+15

Step-by-step explanation:

5 0
3 years ago
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier
Vlad [161]
Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.
3 0
3 years ago
Question 25
AysviL [449]

Answer:

120

Step-by-step explanation:

First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:

30+(3*30)=30+90=120

Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:

8*30=240

Third, you need to find the difference between both costs:

240-120=120

According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.

8 0
3 years ago
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