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3 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST OR RIGHT/BEST ANSWER

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

8 0

down 3 unit mean -3 outside root

right 2 unit mean -2 inside root,

so the answer is

$y = \sqrt{x - 2} - 3$

djyliett [7]3 years ago

6 0

Answer:

solution D

Step-by-step explanation:

given a function f(x), then

f(x ± c) denotes a horizontal translation parallel to the x- axis

• If c > 0 then translation to the left of c units

• If c < 0 then translation to the right of c units

given a function f(x) then

f(x) ± c denotes a vertical translation parallel to the y- axis

• If c > 0 then translation upwards of c units

• If c < 0 then translation downwards of c units

for a shift of 2 units right then $\sqrt{x-2}$

for a shift 3 units down then $\sqrt{x-2}$ - 3

that is fourth choice in list of options

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INFO: The chairs are evenly spaced around

lana66690 [7]

Answer: About 72 feet

The more accurate value is roughly 71.7260397 feet (however, this value isn't fully exact either).

======================================================

Explanation:

Check out the diagram below. It's effectively the same diagram your teacher provided, but I've added points M and N. I've left out any unnecessary lines.

M = center of the circle
N = location where the cable is anchored to the ground

We're told that "(the length of cable from) E to the ground is 35 feet", so this is the red portion of cable that I've marked this as NE = 35, ie segment NE is 35 feet long. We're also told that NF = 40 feet, which is also shown in red.

The blue portions are chords of the circle. We're given one chord as LE = 80 ft, while the other chord JF is what we want to find out.

-----------------

What we need to find is the radius of this circle. Right away, it's not clear what the radius is; however, we can use the chord LE = 80 to help find it.

It turns out that the chord length c is connected to the radius r and central angle theta like so:

c = 2*r*sin(0.5*theta)

where theta must be in radian mode. The central angle subtends the arc that forms the chord in question.

If we started at point L, and counted the number of spaces to get to E while going clockwise, then we can see that there are 5 spaces

Those five spaces could be written as

The jump from L to A
The jump from A to B
The jump from B to C
The jump from C to D
The jump from D to E

Or you could mark it as such on the diagram for a visual reference. Overall, the circle has been cut into 12 equal slices. So going from L to E, going clockwise, will have us take up 5/12 of the full circle.

There are 2pi radians in a full circle, meaning the central angle LME is (5/12)*2pi = 5pi/6 radians.

-----------------

Plug theta = 5pi/6 and c = 80 into the formula mentioned. Isolate the radius.

c = 2*r*sin(0.5*theta)

80 = 2*r*sin(0.5*5pi/6)

80 = 2*r*sin(5pi/12)

80 = 2*r*0.9659258

80 = 2*0.9659258*r

80 = 1.9318516r

1.9318516r = 80

r = 80/1.931 8516

r = 41.4110483

The radius is approximate. The radius is in feet. Make sure your calculator is in radian mode.

-----------------

Now that we know the radius, we can determine how long chord JF is.

The central angle for chord JF is angle JMF

If we start at J and go to F, along the shorter path, then we've gone 4 spaces. This is 4/12 = 1/3 of the full circle. So the radian measure of angle JMF is (1/3)*2pi = 2pi/3 radians.

So,

c = 2*r*sin(0.5*theta)

c = 2*41.4110483*sin(0.5*2pi/3)

c = 71.7260397

Chord JF is roughly 71.7260397 feet long.

When rounding to the nearest foot, that's about 72 feet.

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Verify if f and g are inverse functions.

Andrej [43]

They are not, because inverse means multiply by -1, therefore, there should be a positive sign in front of 2 and a negative in front of x for G(x) = x - 2

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Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wan

stepan [7]

Answer:

is the correct answer.

Step-by-step explanation:

As per the question statement:

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most = $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

$\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}$

i.e.

$5.50S$

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = $\$3.25+5.50S$

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

$\bold{3.25+5.50S \le 30}$

Please refer to brainly.com/question/17138529 as well.

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Through the origin (0,0)

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