Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle:
(where (h, k) is the center of the circle and r is the radius)
Given equation:
Rewrite in standard form:
Therefore
- center = (3, 0)
- radius = 2
A gift box measures 4.5 cm wide, 2.5 cm deep and 7 cm high. The gift has a volume of 50 cm cubed. After the gift has been packed
1 answer:
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Answer:
Step-by-step explanation:
x+2/3x - 1/x-2 = x-3/3x
LCD is (3x)(x-2). so we multiply the whole equation by LCD
We multiply each term by LCD
Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).
Center of center of dilation is (2,-2).
Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.
Now, we need to apply rule for dilation with the scale factor 5/3.
Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.
We will extend RS to 5 units and TS also 5 units.
The new resulting image would be dilated triangle by a scale factor 5/3.
probability that a randomly chosen college student either has a job or lives on campus.
What is probability?
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
To find the probability that a randomly chosen college student either has a job or lives on campus:
Given: 85% of college students have a job, 54% live on campus, and 42% have a job and live on campus.
So, out of 100 students, 42 students either has a job or live on campus.
43 college students have a job and 12 live on campus.
So, 43 + 42 + 12 = 85 + 54 - 42
85 + 12 = 139 - 42
97 = 97
Therefore, probability that a randomly chosen college student either has a job or lives on campus.
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