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nikdorinn [45]
3 years ago
9

Find the value of x , this like similar right triangles and geometric means and stuff

Mathematics
1 answer:
insens350 [35]3 years ago
7 0

Answer:

16

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × (x+9)

225 = 81 + 9x subtract 81 from both sides

144 = 9x divide both sides by 9

16 = x

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Solve for the missing information, given that the two triangle in each question are similar
Degger [83]

Answer:

Are you in Connexus ?

Step-by-step explanation:

6 0
3 years ago
The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

6 0
2 years ago
The lee's spend $ 31 on movie tickets for 2 adults and 3 children. The Smith's spent $ 26 on movie tickets for 2 adults and 2 ch
Trava [24]

Answer:

Cost of adult ticket is $8 and Cost of children ticket is $5.

Step-by-step explanation:

Given:

Let the cost of each Adult ticket be 'x'.

Let the cost of each child ticket be 'y'.

Now Given:

The lee's spend $ 31 on movie tickets for 2 adults and 3 children.

Number of adult tickets = 2

Number of children ticket = 3

Total money spent = $31

So we can say that;

Total money spent is equal to sum Number of adult tickets multiplied by cost of each Adult ticket and sum Number of children tickets multiplied by cost of each child ticket.

framing in equation form we get;

2x+3y=31 \ \ \ \ equation \ 1

Also Given:

The Smith's spent $ 26 on movie tickets for 2 adults and 2 children

Number of adult tickets = 2

Number of children ticket = 2

Total money spent = $26

So we can say that;

Total money spent is equal to sum Number of adult tickets multiplied by cost of each Adult ticket and sum Number of children tickets multiplied by cost of each child ticket.

framing in equation form we get;

2x+2y=26 \ \ \ \ equation \ 2

Now Subtracting equation 2 from equation 1 we get;

2x+3y-(2x+2y)=31-26\\\\2x+3y-2x-2y=5\\\\y=\$5

Now substituting the value of y in equation 1 we get;

2x+3y=31\\\\2x+3\times5 =31\\\\2x+15=31\\\\2x=31-15\\\\2x=16x\\\\\frac{2x}{2}\frac{16}{2}\\\\x=\$8

Hence Cost of adult ticket is $8 and Cost of children ticket is $5.

6 0
2 years ago
The square of the product of 4 and a number.
aleksley [76]

the square root of 4x


\sqrt{4x}

8 0
3 years ago
Read 2 more answers
Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of
ale4655 [162]

Answer: 4 seconds

Step-by-step explanation:

Given: The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.

Differentiate the given function with respect to t , we get

h'(t)=-36(2)t+288=-72t+288

Put h'(t)=0

\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4

Also, h''(t)=-72

By second derivative test, h(t) is maximum at t=4.

Hence, the time in Devon which the ball reaches it maximum height = 4 seconds

3 0
2 years ago
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