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The general equation of a circle is x^2 + y^2 = r^2. Here we know that the circle passes thru two points: (-3,2) and (1,5). Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.
Subst. the known values (of the first point) into this equation: (-3)^2 + (2)^2 = r^2. Then 9 + 4 = 13 = r^2.
Let's check this. Assuming that the equation of this specific circle is
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.
(1)^2 + (5)^2 = 13 is not true, unfortunately.
(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).
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<span>The final step in this inequality is to make x the subject. To do this, we divide both sides of the inequality by -2. Whenever we mulitply or divide by a negative number in an inequality, we must swtich the sign. So the inequality becomes -6/-2 > -2x/-2 which simplifies to x < 3. The third option is correct.Hope this helps. Let me know if you need additional help!</span>
Answer:
y = 2327.49 ---> 25 hrs
starting plot points (0,640) and ending (25, 2327.49)
Step-by-step explanation:
b = 640
r = 5.3% = 0.053
t = 25
y = 640 ( 1 + 0.053)^25
y = 640 ( 1.053)^25
y = 2327.49 ---> 25 hrs
starting plot points (0,640) and ending (25, 2327.49)
No 5/8 is not greater then 2/3, 5/8 is just 1/24 smaller then 2/3.
Answer:
x = ± 2
Step-by-step explanation:
Given
x² + 5 = 3x² - 3 ( subtract x² + 5 from both sides )
0 = 2x² - 8 ( add 8 to both sides )
8 = 2x² ( divide both sides by 2 )
4 = x² ( take the square root of both sides )
x = ± 
= ± 2
