Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = 
m = 
m = 
Equation of the line passing through C(4, 5) and slope m =
y - y' = m(x - x')
y - 5 = 
y = 
y = 
If point B(4, 0) lies on the line CD,
0 = 
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.
Answer:
x= -11
Step-by-step explanation:
Answer:
Step-by-step explanation:
= [ 
- 
] ← evaluate for upper limit - lower limit
= ( 
- 
) - ( 
- 
)
= - 8 - 9 +
= 
- 17
=
If the temperature of the egg is x, then if x is below 23 (x<23), they rarely hatch. If x is greater than 33 (x>33), they also rarely hatch. For them to not rarely hatch, then x must be not below 23 (greater than or equal to) and not above 33 (less than or equal to), resulting in our compound equality being
23≤x≤33 and our pair of simple inequalities being x≥23 and x≤33.
Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)
