Answer:
(0, 7]
Step-by-step explanation:
Let's call the width W and the length L. The length is 18 feet more than the width, so:
L = W + 18
The area can be no more than 175, so:
A ≤ 175
LW ≤ 175
Since L = W + 18:
(W + 18) W ≤ 175
W² + 18W ≤ 175
W² + 18W - 175 ≤ 0
(W - 7) (W + 25) ≤ 0
-25 ≤ W ≤ 7
However, the width of the table can't be nonpositive, so:
0 < W ≤ 7
Or in interval notation, (0, 7].
Answer:
Step-by-step explanation:
Both group of points are plotted and attached below.
Red line contains the first group (29) and blue line contains the second group (30).
Both show the collinear points. The answer is yes to both.
Answer:
(c) 
will be perpendicular to the line y = 3x+2
Step-by-step explanation:
We have given the the equation of line as y = 3x+2
We know the equation of line as y = mx+c , here m is slope and c is intercept
On comparing with standard equation of line m = 3
We know that slope of perpendicular line is 
So the slope of the line which is perpendicular to y = 3x+2 will be 
Now (a) Line is given as 
its slope is 
so it will be not perpendicular
(b) Line is given as 
its slope is so it will be not perpendicular
(c) Line is given as its slope is 
so it will be perpendicular to the line y = 3x+2
(d) Line is given as 
its slope is 3 so it will not perpendicular to the line y = 3x+2
Answer:
x=25 =18
Step-by-step explanation:
Right angle =90°
you are given 40, therefore 2x has to equal up to 50.
2x=50 divide both sides by 2
x=25
straight line=180°
you are given 90, therefore 5y has to equal to 90.
5y=90
divide both sides by 5
y=18
Answer:
Step-by-step explanation:
1/4 cup of sugar = 1/2 tea spoon. (1)
Multiplying both sides by 4, we have
1/4 * 4 cup of sugar = 1/2 * 4 tea spoon. (2)
1 cup of sugar = 2 tea spoon
( Required answer)
