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Scrat [10]
3 years ago
6

Given the numbers x = a and y = –b, which statement is true? A. –|x| = a and –|y| = b B. |–x| = –a and |–y| = b C. |x| = –a and

–|y| = –b D. |x| = a and |y| = b
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

D) |x| = a and |y| = b

Step-by-step explanation:

Given the numbers x = a and y = –b

Absolute function always gives the output as a positive number

Absolute function of |-x|= x

For example |5|= 5  and |-5| = 5

Given x=a

|x| = |a| = a, so |x| = a

Given y=-b

|y| = |-b| = b , so |y| = b

Hence, |x| = a and |y| = b

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3 years ago
A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t s
Zinaida [17]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

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t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

-16t^2+32t+128=0

The above is a quadratic equation. It can be solved by the formula as follows :

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Here, a = -16, b = 32 and c = 128

t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s

Neglecting negative value, the projectile will land after 4 seconds.

4 0
3 years ago
Write the equation. included. in the same set of related facts. as 6×8=48
Natali5045456 [20]
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Answer:

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Step-by-step explanation:

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3 years ago
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