Answer:
The Opposite Is a Positive Number
Step-by-step explanation:
Ex:
-6 opposite is 6
-19 opposite is 19
8 opposite is -8
If your looking how to plot this on a graph idk but I know its something like 15.00x>200
0.15y<200
I think... I'm not sure... but it would make sense lol :)
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
Learn more about simplification here:
brainly.com/question/12501526
#SPJ1
<u>Vertex</u>
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = <u>-(-6) +/- √((-6)² - 4(-1)(-8))</u>
2(-1)
x = <u>6 +/- √(36 - 32)</u>
-2
x = <u>6 +/- √(4)
</u> -2<u>
</u>x = <u>6 +/- 2
</u> -2
x = <u>6 + 2</u> x = <u>6 - 2</u>
-2 -2
x = <u>8</u> x = <u>4</u>
-2 -2
x = -4 x = -2
y = -x² - 6x - 8
y = -(-4)² - 6(-4) - 8
y = -(16) + 24 - 8
y = -16 + 24 - 8
y = 8 - 8
y = 0
(x, y) = (-4, 0)
or
y = -x² - 6x - 8
y = -(-2)² - 6(-2) - 8
y = -(4) + 12 - 8
y = -4 + 12 - 8
y = 8 - 8
y = 0
(x, y) = (-2, 0)
<u>Axis of Symmetry</u>
The axis of symmetry is equal to -3.
<u />
140 I believe because you subtract 40 from 180 since the two angles equal 180
