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2 years ago

What proportion could you use to find the value of x

Mathematics

1 answer:

andrew11 [14]2 years ago

7 0

The proportion that could be used to find the value of x is 3/x= x/11

<h3>How to determine the proportion?</h3>

The complete question is added as an attachment

From the attachment, the common side length between both right triangles is x

While the other sides are adjacent sides.

This means that the proportion is:

3/x= x/11

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3 years ago

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Implicit differentiation in terms of x and y

Volgvan

For implicit differentiation, you are using the chain rule
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Then you solve for dy/dx as if its a variable.
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3 years ago

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2 years ago

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less

den301095 [7]

Answer:

The maximum height of the prism is $12\ m$

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

$A=L*W$

$A\leq 27\ m^{2}$

$L*W\leq 27$ -------> inequality A

$W=x-9$ ------> equation B

$L=W+6$ -----> equation C

Substitute equation B in equation C

$L=(x-9)+6$

$L=x-3$ ------> equation D

Substitute equation B and equation D in the inequality A

$(x-3)*(x-9)\leq 27$ -------> using a graphing tool to solve the inequality

The solution for x is the interval----------> $[0,12]$

see the attached figure

but remember that

The width of the base must be $9$ meters less than the height of the prism

the solution for x is the interval ------> $(9,12]$

The maximum height of the prism is $12\ m$

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3 years ago

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Show me the steps to solve and the solution y-2>1/2(x-2)

aev [14]

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2y - 4 > x - 2

Add 4 to both sides: 2y > x + 2

Div. both sides by 2: y > (1/2)x + 1 (answer)</span>

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3 years ago