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monitta
4 years ago
10

Prove or disprove that the circle with equation x^2-4x+y^2=-3 intersects the y axis

Mathematics
1 answer:
wel4 years ago
7 0
The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.

Use completing the square method:

x^2 - 4x + 4 + y^2 = -3 + 4
(x - 2)^2 + y^2 = 1

the center of the circle is (2,0) and r = 1

To check if it intersects the y axis, find the value of the x-intercept. 
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/viewform?hr submission=Chclk4feKBIQ.
Gennadij [26K]

Answer:

c) .22

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 2.5, n = 500

Then

M = z*\frac{\sigma}{\sqrt{n}}

M = 1.96*\frac{2.5}{\sqrt{500}}

M = 0.22

5 0
4 years ago
PLEASE HELP! DUE TONIGHT! The table of ordered pairs shows a the coordinates of the two points on the graph of a line.
erastova [34]
You would graph the two lines. Then use  Y=mX+b
10=5/4(4)+b  5/4 is the slope or distance between the two lines.
solve for b 
10=5+b
-5
5=b 
Y=5/4X+5 would be your answer
4 0
4 years ago
A radio commercial for a loan company states: "You only pay 30cents a day for each $500 borrowed." If you borrow $1,933 for 143
vredina [299]

Answer:

You will repay $1,393

Step-by-step explanation:

6 0
3 years ago
The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School
elena-s [515]

vans = v, buses = b, students = s

8v + 8b =312s ...eqn 1

9v + 4b = 196s ...eqn 2

divide eqn 1 by 2

4v + 4b = 156s ...eqn 3

eqn 2 - eqn 3

5v = 40s

v = 8s

subst v = 8s in eqn 2

72s + 4b = 196 s

b = 31s

answer

each van holds 8 students and each bus holds 31 students

8 0
3 years ago
A spherical water tank with a radius of 21 ft is being filled at a rate of 150 ft3 per hour. How much time must elapse for the w
Scorpion4ik [409]
It’s C, 258.48 I used a calculator
4 0
3 years ago
Read 2 more answers
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