Answer:
D is the correct answer.
Step-by-step explanation:
The lines are perpendicular as they go thiugh eachother at the center.
Hey there!!
(1) Both the angles sum up to be 180.
(2) Both the angles sum up to be 90
_________________
(1) 4x+5+8x-5=180
... 12x=180
... x= 180/12
... x = 15
________________
(2) 4z+3z+6=90
... 7z+6=90
... 7z=84
... z=84/7
... x=12
__________________
Hope it helps!
Answer:
<h2>A. 4t² - 32t + 64</h2>
Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
Answer:
mean=sum of data/no of data
=12/3
=4
Step-by-step explanation:
therefore mean=4