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dezoksy [38]
3 years ago
5

23. Which equation represents the circle whose center

Mathematics
1 answer:
arlik [135]3 years ago
4 0
This is b I just took the test and passed
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In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.
Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

3 0
3 years ago
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the n
slamgirl [31]
The number of rolls per wall is one and a half rolls
4 0
3 years ago
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What is the value of this expression when a= - 3 and b=-2?<br> (3a^-2b^6/2a^-1b^5)^2
lisabon 2012 [21]

Answer:

so lets just rewrite it with A=-3 amd B=-2

(-9^4^-9^2^5)^2

which is equal to... 1!

Hope This Helps!!!

7 0
2 years ago
-The dimensions of a rectangular garden were 2 m by 4 m. Each dimension was
posledela

Answer: 4 m

Step-by-step explanation:

Let the amount each dimension was increased by be x.

Now we can set up a equation.

(2+x)(4+x) = 48

8 + 2x + 4x + x^2 = 48

x^2 + 6x - 40 = 0.

We can factor the left side of the equation.

(x+10)(x-4) = 0.

Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.

8 0
2 years ago
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A safety regulation states that the height hh of a guardrail should be 106 centimeters with an absolute deviation of no more tha
iren [92.7K]

Let us say that h is the height of the guardrail. Therefore the inequality equation that we can generate from this scenario is:

| h – 106 | = ± 7

 

There are two ways to solve this, either the equation is positive or negative.

When the equation is positive, therefore:

| h – 106 | = 7

h = 7 + 106 = 113 cm

 

When the equation is negative, therefore:

| h – 106 | = - 7

h = -7 + 106 = 99 cm

 

So the height must be 99 cm to 113 cm

6 0
3 years ago
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