Answer:
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Step-by-step explanation:
The ratios are in their simplest form are the ratios that cannot be simplified further.
We will check all the ratios one by one
<u>A 25:24</u>
Cannot be further simplified so it is in the simplest form
<u>B 19:24</u>
Cannot be simplified further.
<u>C 23:24</u>
Cannot be simplified further
<u>D 11:16</u>
Cannot be simplified further
<u>E 27:18</u>
Further simplified, so it was not in simplest form.
Hence,
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Answer:
Cosθ =Adjacent / hypotenuse
Y = (x - 1)² + 2
y = (x² - x - x + 1) + 2
y = (x² - 2x + 1) + 2
y = x² - 2x + (1 + 2)
y = x² - 2x + 3
x² - 2x + 3 = 0
x = <u>-(-2) +/- √((-2)² 4(1)(3))</u>
2(1)
x = <u>2 +/- √(4 + 12)</u>
2
x = <u>2 +/- √(16)
</u> 2<u>
</u>x = <u>2 +/- 4
</u> 2<u>
</u>x = 1 <u>+</u> 2
x = 1 + 2 x = 1 - 2
x = 3 x = -1
y = x² - 2x + 3
y = (3)² - 2(3) + 3
y = 9 - 6 + 3
y = 3 + 3
y = 6
(x, y) = (3, 6)
or
y = x² - 2x + 3
y = (-2)² - 2(-1) + 3
y = 4 + 2 + 3
y = 6 + 3
y = 9
(x, y) = (-1, 9)
V/-8 = 4v
V= -32v
V+32v=0
33v=0
V=0
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
