The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The circle has center at (2,-4), hence 
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
The probability that Joe will be accepted at one and only one university
P(A n B ) = 0.1
Step-by-step explanation:
Given data the acceptance rate for applicants with similar qualifications is 25% for University A
P(A) = 25% =0.25
The acceptance rate for applicants with similar qualifications is 40% for University B
P(B) = 40% =0.40
<u>Independent events:</u>
let E and F are said to be independent events then
P(E n F ) = P(E ) P(F)
both universities are independent
The probability that Joe will be accepted at one and only one university
P(A n B ) = P(A) P(B) = 0.25 X 0.40 = 0.1
x/5)+12=16
x/5=4
x=20
Hope this helps! Have a nice day!
Maria needs to save $187.50 per month in order to attend college.
First, subtract the $1,100 scholarship from the cost of college, or $10,100, to get $9,000. This is the amount that she needs to save after 4 years. Next, since she is saving monthly, we need to know how many monthly periods are in 4 years, so multiply 12 months/year by 4 years to get 48 monthly periods. Finally, divide the total amount needed ($9,000) by the monthly periods (48) to get $187.50. This answer would change if she earned any interest on her savings, and depending on the compounding period, if any, for such interest.
Answer:
D = 120° , E = 30° , F = 30°
Step-by-step explanation:
Let D = 4x
Let E&F = x
4x + x + × = 180°[angles in triangle is 180°]
6x = 180°
x = 180/6
x = 30°
E = 30°
F =30°
D =4(30°)
=120°
(Correct me if i am wrong)
