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Anton [14]
2 years ago
11

Write the equation in standard form for the circle with radius 9 centered at the origin.

Mathematics
1 answer:
amid [387]2 years ago
8 0
The standard form of the equation of a circle of radius r, with (assuming centre h, k) is given as:

(X-h)^2 + (y-k)^2 = r^2

As we are required to write an equation in standard form for the circle with radius 9 centred at the origin.
Centre(h,k)=(0,0), r=9

Substituting these values into the standard form of the equation of a circle given above:

(X-0)^2 + (y-0)^2 = 9^2
X^2 + y^2 =81

The standard form is x^2 + y^2 =81

I’m pretty sure this is right
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Anwser the question for brainlist
klasskru [66]

Answer:

there's no question, pal

Step-by-step explanation:

27.9333, use a calculator.

6 0
3 years ago
Correct first step to solving 9 (x + 2)=90
Elina [12.6K]

Answer:

Distribute

Step-by-step explanation:

Distribute . 9x+18=90

Subtract 9x=72

Divide x=8

8 0
3 years ago
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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
A box of cereal states that there are 81 calories in a 7-cup serving. What is the unit rate for calories
mr_godi [17]

Answer:

23.142857143 calories or 23 1/7 calories

The unit rate is calories per cup

Step-by-step explanation:

7- cup serving = 81 calories

2 cups = x calories

Cross Multiply

2 cups × 81 calories = 7 cups × x

x = 2 cups × 81 calories/7 cups

x = 23.142857143 calories or 23 1/7 calories

5 0
3 years ago
What type of graph is shown?
umka2103 [35]

Answer:

Bar graph

Step-by-step explanation:

Let's see the definition of bar graph.

Definition : Bar graph is a graph that presents categorical data with rectangular bars with heights proportional to the values that they represent. The bars can be plotted vertically or horizontally.

Here the horizontal axis represents the category and vertical axis represents the frequency.

Thank you.

6 0
3 years ago
Read 2 more answers
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