Answer:
- 4
Step-by-step explanation:
Using the rule of exponents
• 
× 
⇔ 
• 
⇔ 
= 
= 
and right side
= 
× 
Hence
= 
× 
= 
Equating exponents on both sides gives
a + 10 = - 2a - 2 ( add 2a to both sides )
3a + 10 = - 2 (subtract 10 from both sides )
3a = - 12 ( divide both sides by 3 )
a = - 4
Answer:
can i get a clear look of it
Step-by-step explanation:
Answer:
Negative Coterminal: -5π/4
Positive Coterminal: 11π/4
Step-by-step explanation:
The easiest way to find <em>specific </em>(not infinite) coterminal values is to ±2π. When you subtract 2π, you will get a negative coterminal. When you add 2π, you will get a positive coterminal. Keep in mind though that a tan∅ or cot∅ only needs ±π, not ±2π.
<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 />
Answer:
35% of the sixth grade is in the chess club
Step-by-step explanation:
if there are 100 students consider that as 100%
20 is a fifth of 100
20 x 5 =100
since 7/20 is a fraction you multiple the numerator (7) with the same number you multiplied to the denominator (20) which is 5.
7 x 5 = 35
35/100 = 35%
