You can solve a system using substitution, elimination, or graphing method.
If you solve using substitution or elimination, the variable will cancel out on both sides and you will be left with a number equal to a number. If "number = number" is a TRUE statement, then the solution is ALL Real Numbers. <em>If it is a FALSE statement, then you will have NO solutions.</em>
If you solve using the graphing method and the lines are exactly the same, then the solution is Infinite solutions (aka ALL Real Numbers). <em>If the lines are parallel, then you will have NO solution.</em>
Answer:
x=7
Step-by-step explanation:
6(7-5)=12
The equation of the circle which has a diameter with endpoints (-3,2) and (1,-6) is x² + y² +6x - 4y -15 = 0.
<h3>What is circle?</h3>
Circle is the 2D geometry which is round in shape with radius R.
The diameter with endpoints (-3,2) and (1,-6). is
D = √ [(1+3)²+(-6-2)²]
D = 8.944 units
Radius of circle is R = D/2
R = 8.944 units /2
R =4.4721 units
Given is the general form of the equation of a circle passing through a point and having radius R is
(x -h)² +(y - k)² = R²
Substitute the coordinate (h,k) = (-3,2) and radius R = 4.4721
(x +3)² +(y - 2)² = 4.471²
x² + y² +6x - 4y +5 = 20
x² + y² +6x - 4y -15 = 0
Thus, the equation of the circle which has a diameter with endpoints (-3,2) and (1,-6) is x² + y² +6x - 4y -15 = 0.
Learn more about circle.
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Answer:
0.7557
Step-by-step explanation:
In this question use the Table of Standard Normal Probabilities for Negative z-scores and the Table of Standard Normal Probabilities for Positive z-scores
Where z=2.27 NORMDIST(2.27)=0.9884 (read from table for positive z-scores)
Where z=-0.73 NORMDIST(-0.73)=0.2327 (read from table for negative z-scores)
You know P(-0.73<z<2.27)= 0.9884-0.2327=0.7557
