Answer:
A
Step-by-step explanation:
Put brackets around the first two tems.
y = (x^2 - 8x) + 29
Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.
1/2 (- 8) = - 4
(- 4)^2 = 16
y = (x^2 - 8x + 16) + 29
Subtract 16 outside the brackets.
y = (x^2 - 8x + 16) + 29 - 16
Do the subtraction
y = (x^2 - 8x + 16) + 13
Represent what is inside the brackets as a square.
y = ( x - 4)^2 + 13
The answer is A
Answer:
Yes
Step-by-step explanation:
The base of both the cylinder and Circle are both circles.
Remember, |n|≥0 for all real numbers n
so
-|x|=0
times -1
|x|=0
true, x=0, has a solution
|x|=-15
false, can't have negative absolute value
-|x|=12
|x|=-12
false, no negative absolute value
-|-x|=9
|-x|=-9
false, no negative absolute value
-|-x|=-2
|-x|=2
x=2 or -2
true, has solutions
the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9
Answer:
But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.
Step-by-step explanation:
Answer:
The shortest side has length 24 ft
Step-by-step explanation:
Try this: 3x + 4x + 5x =96 ft, or
12x = 96 ft
Then x = (96 ft) / 12, or x = 8
Multiplying this factor 8 by 3, we get 24. The shortest side has length 24 ft.
The middle-length side is 4(8), or 32.
The longest side is 5(8), or 40.
Check: Do 40 and 32 and 24 add up to 96 ft?
do 72 and 24 add up to 96 ft?
Yes.
