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3 years ago

Given: ABC is similar to XYC. If BY = 6, YC = 10, AX = 18, then XC = 10.8 5 30 48

Mathematics

2 answers:

DIA [1.3K]3 years ago

4 0

Answer:

The answer is C

Step-by-step explanation:

Sidana [21]3 years ago

3 0

Answer:

The correct option is 3. The length of XC is 30.

Step-by-step explanation:

It is given that triangle ABC and triangle XYC are similar.

According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.

In triangle ABC and triangle XYC,

$\frac{AB}{XY}=\frac{BC}{YC}=\frac{AC}{XC}$

Let the length of XC be x.

From the below figure it is notices that

$AC=AX+XC=18+x$

$BC=BY+YC=6+10=16$

$\frac{16}{10}=\frac{18+x}{x}$

$16x=180+10x$

$6x=180$

$x=30$

Therefore correct option is 3. The length of XC is 30.

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Write and graph an inequality that represents the numbers that are not solutions of each inequality.

o-na [289]

A.) x + 8 < 14
-8 -8
x < 6
b.) x - 12 >/= 5.7
+12 +12
x >/= 17.7

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3 years ago

Solve for x. <br><br>n(17+x)=34x-r

liq [111]

$x= \frac{17n+r}{n-34}$

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3 years ago

Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc

Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

4 0

4 years ago

Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6)<br> Explain your steps!!

Lapatulllka [165]

So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24

4 0

3 years ago

How to do this question plz answer

weeeeeb [17]

9514 1404 393

Answer:

102

Step-by-step explanation:

The total of ratio units is ...

6 + 3 + 8 = 17

The difference between the Charlie's ratio units and Adrian's ratio units is ...

8 - 6 = 2

That is, the total number of ratio units is 17/2 = 8.5 times that difference.

The actual difference is 12 sweets, so the total number of sweets is ...

8.5 × 12 = 102 . . . . total sweets

4 0

3 years ago