The minimum product would be a negative number with the maximum absolute value.
To get a negative number, the numbers must be opposite in sign.
The maximum absolute value would be attained when the two numbers have the same absolute value.
From the above, the minimum product would be -30 * 30 = -900.
(note 30-(-30)=60)
Answer is C I hope it helps
Our current equation is:
-ax + 3b > 5
Our objective is to solve for x, so let's first get -ax by itself.
Subtract 3b from both sides.
-ax > -3b + 5
Now, we have -a multiplying x, so we need to perform the opposite order of operations (like previously shown with 3b).
Divide both sides by -a.
Remember to flip the inequality when multiplying or dividing by a negative.
x <_ (-3b + 5)/-a is your final answer.
I hope this helps!
When you rotate 90 degrees clockwise, (x,y) becomes (y,-x).
Therefore:
G = (3,1)
H = (0, 4)
I = (-2, -3)
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)