Answer:
180 degrees
(x,y) becomes (-x,-y)
270 degrees
(x,y) becomes (y,-x)
90 degrees
(x,y) becomes (-y,x)
Step-by-step explanation:
Here, we want to write a rule for each of the counterclockwise rotation
The rule are as follows;
180 degrees
(x,y) becomes (-x,-y)
270 degrees
(x,y) becomes (y,-x)
90 degrees
(x,y) becomes (-y,x)
The answer c thank me later guys have a great day
4x-3y=-9
The first step is to isolate your y value.
Subtract 4x from both sides to get
-3y=-4x-9
Then, divide your whole equation by -3. This gives you y=4/3+3
To graph, plot (0, 3), or three on your y-axis to get your y-intercept.
For your slope, use the rise/run (go up 4, across 3)
You should have a positive slope.
Answer:
x is less than 1/9
Step-by-step explanation:
Distribute the 3/2 to the (6-18x), which gives you 9-27x is greater than 12. Subtract the 9 over, which gives you -27x is greater than 3. Divide both sides by -27, but when you divide by a negative, you have to flip the sign, so finally, you get x is less than 1/9.
<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
