What is the range of the function g(x) = |x – 12| – 2?

f ( x ) = x² + 144

=> x² + 144 = 0

=> ( x + 12 ) ( x - 12 ) = 0

=> x + 12 = 0 and x - 12 = 0

=> x = -12 and x = 12

So,the zeroes of f are -12 and 12 .

Answer:

KN = 72

Step-by-step explanation:

ΔKPL and ΔKNM are similar.

∠KLP = ∠KMN (Because PL and NM are parrallel)

∠KPL = ∠KNM (Because PL and NM are parrallel)

∠NKM = ∠PKL (Same angle, Common)

Now, Both the trianlges are similar just there is a size difference.

First we need to find scale factor, therefore:

[tex]\frac{KL}{LM}[/tex] = [tex]\frac{11}{55}[/tex] = [tex]\frac{1}{5}[/tex]

Now we know the scale factor is  [tex]\frac{1}{5}[/tex] therefore:

[tex]\frac{KP}{PN}[/tex] = [tex]\frac{PK}{60}[/tex]

To find PK we times 60 by [tex]\frac{1}{5}[/tex] therefore:

Answer is 12

Now KN is PK+ PN threfore:

KN is 72

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Answer:d

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer:

x = 7

Step-by-step explanation:

3x-1/9(27) = 18

x = 21/3

=7

Answer:

B. 7

Step-by-step explanation: Took test

Answer:

[tex]14/3[/tex]

Step-by-step explanation:

[tex]4.66666666667[/tex]

[tex]0.66666666667=2/3[/tex]

[tex]4\frac{2}{3}[/tex]

[tex]14/3[/tex]

The fraction form of a number 4.66666666667 is,

⇒ 40 / 9

We have to given that;

A number is,

⇒ 4.66666666667

And, We can change it into fraction.

Let us assume that,

⇒ x = 4.66666666667  .. (i)

Multiply by 10;

⇒ 10x = 46.66666666667 .. (ii)

Subtract (ii) form (i);

⇒ 10x - x = 40

⇒ 9x = 40

⇒ x = 40 / 9

Thus, The fraction form of a number 4.66666666667 is,

⇒ 40 / 9

Learn more about the fraction visit:

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Answer:

40

Step-by-step explanation:

Since the probability to choose a blue marble is 1/9, there must be 5 blue marbles since 45 * 1/9 = 5

Subtract 5 from 45 to get 40, since the rest of the marbles are red.

Answer:

72 / period  of time which is 2 = 36

36 / 3% = 36 / 0.03 = 1200

1200 is your answer

Now double check

1200 x 0.03 = 36

36 x 2 = 72

Hope this helps 1200 is your answer

Step-by-step explanation:

Answer:

2 and 8

1 and 3

Step-by-step explanation:

statement a+b < a*b

-2 + -8 < -2 * -8 => -10 < 16 TRUE

-1 + -3 < -1 * -3 => -4 < 3 TRUE

1+3 < 1*3 => 4 < 3 FALSE

2 + 8 < 2 * 8 => 10 < 16 FALSE

Answer:

1.96

Step-by-step explanation:

a^2 + b^2 = c^2

4.6^2 + b^2 = 5^2

21.16 + b^2 = 25

b^2 = 3.84

b = 1.959591

Answer: 12

Step-by-step explanation:

For this problem, all you have to do is plug in x=2 into all the x you see.

-3(2)+1.5+2.5(2)-4.5+8(2)

-6+1.5+5-4.5+16=12

Answer:

Replace the variable x = 2 in the expression.

−3⋅2+1.5+2.5(2)−4.5+8(2)

Simplify each term.

multiply −3 by 2 .

−6+1.5+2.5(2)−4.5+8(2)

Multiply 2.5 by 2.

Multiply 8 by 2.

−6+1.5+5−4.5+16

Simplify by adding and subtracting.

Tap for fewer steps...

Add −6 and 1.5

−4.5+5−4.5+16

Add −4.5 and 5.

0.5−4.5+16

Subtract 4.5 from 0.5.

−4+16

Add −4 and 16.

= 12

Step-by-step explanation:

Answer:

-23, 5

Step-by-step explanation:

JK = 14 and K = -9

J could be on the left or the right of -9

Add 14 to -9

14+-9 = 5

So J could be at 5

Subtract 14 from -9

-14-9 = -23

Answer:

c

Step-by-step explanation:

Answer:

The value of tan F = 8/15  or  0.533333

Step-by-step explanation:

To find the value of tan F, we will follow the steps below;

We will use trigonometric ratio. that is;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ = adjacent/hypotenuse

tan Ф = opposite/adjacent

if Ф = F

then opposite = DE = 8

adjacent = EF = 15

web can now proceed to insert the values into the formula

tan F = opposite/ adjacent

tan F = 8/15

tan F = 0.5333

tanF = oppos

Answer:

rectangle 32

triangle 16

Step-by-step explanation:

The area of the rectangle is

A = bh

A = 8*4 = 32

The area of the triangle is 1/2 of the area of the rectangle

A =1/2 bh = 1/2 *32 = 16

Answer:

triangle = 16

rectangle = 32

It's the last option

Step-by-step explanation:

A for rectangle = b * h

= 8 * 4

= 32

A for triangle = 1/2 * b * h

= 1/2 * 32

= 16

Hope this helps!

Answer:

1066

Step-by-step explanation:

Fill in the numbers for the letters                                

Solve in the parenthesis

Multiply

Subtract

Answer:

1066

Step-by-step explanation:

substitute;

2×2^2×3^3×5 - 7×2

2×4×27×5 - 7×2

multiply;

1080 - 14 = 1066.

Answer:

the mean is 44 but i don't know the MAD

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

The only thing i could tell you is the mean

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

V = 13 65⁄72 ft3

Step-by-step explanation:

V = 13⁄4 ft × 7⁄3 ft × 11⁄6 ft

V = 1,001⁄72 ft3

V = 13 65⁄72 ft3

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by [tex]\pi r^2l[/tex]

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

[tex]volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe = 213.52[/tex]

volume of pipe is 213.52 cubic ft.

Answer:

0.13

Step-by-step explanation:

change of heat: 35-25 =10 degrees

mass=20

energy=26

c =??

c = Q / (m * ΔT)

   =26/20*10= 26/200=0.13 J/g*k

Answer:

See steps below

Step-by-step explanation:

We need to work with each side of the equation at a time:

Left hand side:

Write all factors using the basic trig functions "sin" and "cos" exclusively:

[tex]tan^2(x)\,cos^2(x)=\frac{sin^2(x)}{cos^2(x)} cos^2(x)=sin^2(x)[/tex]

now, let's work on the right side, having in mind the following identities:

a)  [tex]sec^2(x)-1=tan^2(x)=\frac{sin^2(x)}{cos^2(x)}[/tex]

b) [tex]1-sin^4(x) =(1-sin^2(x))\,(1+sin^2(x))[/tex]

c) [tex]1-sin^2(x)=cos^2(x)[/tex]

Then replacing we get:

[tex]\frac{(sec^2(x)-1)\,(1-sin^4(x))}{1+sin^2(x)} =\frac{sin^2(x)(1+sin^2(x))(1-sin^2(x))}{cos^2(x)(1+sin^2(x)))} =\frac{sin^2(x)(1+sin^2(x))\,cos^2(x)}{cos^2(x)(1+sin^2(x)))}=sin^2(x)[/tex]

Therefore, we have proved that the two expressions are equal.

Answer:

Step-by-step explanWhat i usually do for these problems is because pecent is out of 100, just subtract the percent from 100 percent and multiply that ammount to the original price, so 40 * (100%-30%)= 40 * 70% or 40 * 0.7, so the answer would be 28

Answer:

C is the correct answer

Step-by-step explanation:

Already rode bike 18 miles.

m miles for 6 days.

16+6m

Answer:

its D

Step-by-step explanation:

CHECK THE COMPLETE QUESTION AND ITS ATTACHMENT BELOW

circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

Arc EFC = 253°

Step-by-step explanation:

From the attachment, we know we are dealing with a circle which has

360 degrees.

If we check that attachment we can deduced that we have

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

It an established rule that the central angle of an intercepted arc is equal to the measure of the arc, then if we check the figure again,

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Thefore, Arc EFC = 253°

Answer: c 253

egde 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

What do u need help with? I might be able to help you out :)

Answer:

height = 3000m

Step-by-step explanation:

In order to calculate the height reached by the airplane, you first calculate the distance traveled by the airplane in one minute. The distance is given by:

[tex]d=vt[/tex]    (1)

v: speed of the airplane = 100m/s

t: time = 1 min = 60 s

you replace in the equation (1):

[tex]d=(100m/s)(60s)=6000m[/tex]

The distance traveled by the airplane while it is going up, can be considered as a hypotenuse of a rectangle triangle.

The angle at which the airplane started to fly was 30°. Then, you can use the following trigonometric relation to calculate the height:

[tex]sin(30\°)=\frac{height}{d}\\\\height=dsin(30\°)=(6000m)sin(30\°)=3000m[/tex]

hence, the height reached by the ariplane is 3000m

Answer:

See Explanation

Step-by-step explanation:

[tex]

\because \sin\bigg(\frac{\pi}{2} + x\bigg)= \cos x\\

\&\: \sin (\pi - x) = \sin x\\\\

Now,

\frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} = \cot x\\\\

LHS

= \frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} \\\\

=\frac{\cos x}{sinx} \\\\

= \cot x\\\\

= RHS\\\\

Hence\: Proved

[/tex]

Answer:

101.956 cm

Step-by-step explanation:

You just have to do 7.18 times 14.2 to get the answer.

I hope this helped ;)

Answer:

101.956

Step-by-step explanation:

A=bh

7.18 x 14.2 = 101.956

to check your answer you would do the opposite 101.956/14.2 = 7.18 or 101.956/7.18 = 14.2