The standard form for the equation of a circle is :
(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
where handk are the x and y coordinates of the center of the circle and r is the radius.
The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (7,-4)and(1,-10) is :
((7+(1))/2,(-4+(-10))/2)=(4,-7)
So the point (4,-7) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(7−(4))^2+(-4−(-7))^2=9+9=18
⇒r=√18
Subtituting h=4, k=-7 and r=√18 into EQ(1) gives :
(x-4)^2+(y+7)^2=18
<span>A
gardener has 27 pansies and 36 daises. He planted equal parts of each flowers.
Now we need to find the value of flowers did the gardener planted.
If you’re looking for the greatest number of flowers planted in a row.
We can have 27 pansies and 27 daises.
However, if we want to plant all flowers we can have:
3 rows of pansies with 9 flowers = (3 x 9) = 27
4 rows of daises with 9 flowers = (4 x 9) = 36</span>
Answer:
Each hat is $5
Each mask is $3
Step-by-step explanation:
Hat= x dollars
Mask= y dollars
Now,
3 hats and 4 mask sold = $27
We can write
3x + 4y = 27
Adding the second equation (-1 times 1st equation) gives us;
3x + 6y = 33
-1* (3x + 4y = 27)
3x + 6y = 33
-3x -4y = 27
2y = 6
y = 6/2
***y = 3***
Now we replace y= 3 into 1st equation and solve for x:
3x + 4y = 27
3x + 4(3) = 27
3x + 12 = 27
3x + 15
x = 15/3
***x= 5***
Each hat costs $5
Each mask costs $3
Answer:
<u>A. The probability that a Millennial is married is 0.089 or 8.9%.</u>
<u>B. The probability that a Baby Boomer is single, never married is 0.03 or 3%.</u>
<u>C. The probability that one person selected randomly (female or male) is married is 0.513 or 51.3% </u>
<u>D. The probability that someone who is living with a partner, but not married is a Generation X is 0.025 or 2.5%.</u>
Step-by-step explanation:
According to the information provided on the analysis table, we can answer the questions:
A. The probability that a Millennial is married is 0.089 or 8.9%.
B. The probability that a Baby Boomer is single, never married is 0.03 or 3%.
C. The probability that one person selected randomly (female or male) is married is 0.513 or 51.3% (Millennial 0.089 + Generation X 0.223 + Baby boomer 0.201)
D. The probability that someone who is living with a partner, but not married is a Generation X is 0.025 or 2.5%.
Answer:
<em>A.</em>
<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>
<em />
Step-by-step explanation:
Given
Required
Where and which error did the student make
Given that the angle is in the 4th quadrant;
The value of r is positive, a is positive but b is negative;
Hence;
Since a belongs to the x axis and b belongs to the y axis;
is calculated as thus
Substitute
Rationalize the denominator
So, from the list of given options;
<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>
