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1 year ago

Which is the graph of the circle (x−2)2+(y−1)2=25?

Mathematics

1 answer:

mixas84 [53]1 year ago

8 0

Answer: y=-x+31/2

Step-by-step explanation:

2x-4+2y-2=25

2y=-2x+31

y=-x+31/2

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Consider the quadratic equation x2=4x-5. How many solutions does the equation have

Norma-Jean [14]

The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions

3 0

3 years ago

Read 2 more answers

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iogann1982 [59]

Answer:

srry i need more points

Step-by-step explanation:

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7 0

3 years ago

A super train travels 1,500 miles in 12.5 hours. How many miles does it travel in one hour?

katen-ka-za [31]

Let's treat the speed in one hour as a variable.
We can say that 1500=12.5x
Divide by 12.5
1500/12.5 = x
x = 120
120 mph is your answer.

6 0

2 years ago

Write a function rule that represents the situation. The almond extract a remaining in an 8-oz bottle decreases by 1/6 oz for ea

katen-ka-za [31]

f(b) = -1/6b + 8. Is the function rule if you want. further explanation just ask.

3 0

3 years ago

The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 28, \sigma = 7$

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{40 - 28}{7}$

$Z = 1.71$

$Z = 1.71$ has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0

3 years ago