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3 years ago

HELP ASAP PLEASE 25 POINTS

Mathematics

2 answers:

Nonamiya [84]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

f(x) +k is a vertical shift

+k shifts the graph up k units

-k will shift the graph down k units

f(x) -2 will shift the graph of f(x) down 2 units

igor_vitrenko [27]3 years ago

3 0

Answer:

Shifts 2 units downwards

Step-by-step explanation:

f(x) - 2 is a change in range, which is vertical movement

-2 indicates a shift of 2 units downwards

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zhenek [66]

Answer:

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3 years ago

The altitude of this cylinder is-----------------. line BC, segment GC, BC or ray CB there is a b on top of cylinder in center a

VikaD [51]

The altitude of a shape or a polygon can be determined by drawing a perpendicular line from the base to the top most part of the polygon. In this case, the altitude is the segment BC where the ends are on the topmost of the cylinder and the base of the cylinder.

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4 years ago

Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

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2 years ago

1 - 2/4=?????<br>I forgot how too do these T-T

Tema [17]

Answer:

1/2

Step-by-step explanation:

you can simply the fraction making it 1/2 and 1 - 1/2 = 1/2

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mylen [45]

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