(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)

Answer:

Volume of rectangular prism:

V1 = base x height = 4 x 6 x 12 = 288 ft3

Volume of triangular prism:

V2 = base x height = 4 x (6/2) x 6 =  72 ft3

Volume of composite prism:

V= V1 + V2 = 288 + 72 = 360 ft3

Hope this helps!

:)

Answer:

w=v/lh

Step-by-step explanation:

lwh=v

To isolate w, we'd have to divide both sides by (lh)

Therefore, w = v/lh

Hope this helped and have a good rest of your day!

Answer:

1/3

Step-by-step explanation:

To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.

That means, dividing the numerator and denominator by the same integer.

For example, in this case, we divided both the numerator and denominator by 6.

6/6=1

18/6=3

So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.

Answer: [tex]\frac{1}{3}[/tex]: D

Step-by-step explanation:

This is simple, just simplify the fraction.

[tex]\frac{6}{18}[/tex]

You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.

When you divide 6 by 6, you get 1.

When you divide 18 by 6, you get 3.

Therefore, your answer is [tex]\frac{1}{3}[/tex].

Hope this helps! :)

Answer:

-3<3

Step-by-step explanation:

youre welcome

Answer:

45

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.

So imagine putting them together:

So then you do 57+ 46=103

180-103=77

Hence the measure of z is 77 degrees

Answer:

C

Step-by-step explanation:

52 weeks of the year * 1.5

Answer:

The answer is C $78.00 because 52 times 1.50 equals 78 so if you couldn't the amount of weeks from january to december 31 it equals 52.

Step-by-step explanation:52 times 1.50 =78

Answer:

[tex]30cm^3[/tex]

Step-by-step explanation:

the volume of a cylinder is given by:

[tex]v_{cylinder}=\pi r^2 h[/tex]

and the volume of a cone is given by:

[tex]v_{cone}=\frac{\pi r^2 h}{3}[/tex]

since both have the same height and radius, we can solve each equation for [tex]r^2h[/tex] (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

[tex]r^2h=\frac{v_{cylinder}}{\pi}[/tex]

and from the cone's volume formula:

[tex]r^2h=\frac{3 v_{cone}}{\pi}[/tex]

matching the two previous expressions:

[tex]\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}[/tex]

we solve for the volume of a cone [tex]v_{cone}[/tex]:

[tex]v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}[/tex]

substituting the value of the cylinder's volume [tex]v_{cylinder}=90cm^3[/tex]

[tex]v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3[/tex]

Answer:

volume of the cone = 30 cm³

Step-by-step explanation:

first write both the formula for  finding the volume a cone and a cylinder

volume of a cone = [tex]\frac{1}{3}[/tex] πr² h

where r is the radius of the cone and h is the height of the cone

volume of a cylinder = πr²h

where r is the radius of the cylinder  and h is the height of a cylinder

since the cone and the cylinder has the same height and they are congruent which implies they have the same radius, then

volume of  a cone =   [tex]\frac{1}{3}[/tex] πr² h

                               = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

   from the question given, volume of the cylinder = 90 cm³

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                              =[tex]\frac{1}{3}[/tex] × 90

                               = 30 cm³

Therefore, volume of the cone = 30 cm³

Answer:

4 hours.

Step-by-step explanation:

If the first guy is driving at 60 km, in 2 hours he is 120 km away. The second guy, leave two hours after. He will drive and in 2 hours he is 180 km. now if the second car keeps going then

120+ 60 + 60 +60 + 60 = 360

180 + 90 + 90 = 360.

So, the two hours for the guy going at 90 km and another 2 hours is 4 hours, so it will take 4 hours for the second driver to catch up.

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Answer:

77

Step-by-step explanation:

the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77

Answer:

998.4 m to the 3rd power

Step-by-step explanation:

Answer:

Look at the attachment

Answer:

I might be wrong feel free to correct

A:

x+6

B:

5-y

C:

8+N

D:

7*X

x² + 2x + y² + 4y = 20

We complete the square in both x and y.  For each we  add half the linear coefficient, squared.  So (2/2)²=1 for x and (4/2)²=4 for y.  We add them to both sides to keep the equation the same.

x² + 2x  + 1   + y² + 4y + 4  = 20 + 1 + 4

Now the left side is the sum of squares and the right side is the squared radius.

(x + 1)² + (y + 2)² = 5²

Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r.  Note the minus signs.

We read off the answer:

Answer: Center (-1, -2), radius 5.

Answer:

A) y= 1/2 sin(x) -2

Step-by-step explanation:

edge 2020 this is the answer, i just took the quiz

The function shown by the graph is a sine function give. as: y = one-half sine (x) minus 2.

The graph of a sine function has and up-down curve that repeats every 2π radians, or 360°.

The graph starts at 0, heads up to 1 by π/2 radians or 90° and then heads down to −1.

The given graph of the function crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.

Therefore, the function shown by the graph is the sine function; y = one-half sine (x) minus 2.

Learn more about graph of sine function at: https://brainly.com/question/2491845

Answer:

Step-by-step explanation:

4^3 * 4^4 = 4^(3+4) = 4^7

4^7/4^9 = 4^(7-9)

= 4^-2 = 1/4^2

Answer:

23 in

Step-by-step explanation:

Convert the stuff they gave you to inches 4*3*2= 23

then use the volume formula

i hope this helped <33

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

the answer is, no.. she is not correct.

she solved the equation/question incorrectly.

why? Shauna subtracted 9 - 12/3 = 5

she multiplied 5 and 2 = 10

then subtracted by 6.

so she got 4.

but, this how you do it.

subtract 9 and 6, equaling 3.

12/3 x 2= 8

add 8 and 3, which equals 11.

the correct answer is 11!

Answer:

4) undefined

Step-by-step explanation:

When graphing x=3, you'll find that it is a vertical line, that intersects the x axis at 3.

Slope is rise over run.

Our line is rising infinitely for every 0 runs.

So it would pretty much be infinitely/0

Since you can't divide a number by 0, we consider the slope of a vertical line, undefined.

Answer:

Step-by-step explanation:

∠A + ∠B = 180    {supplementary angles}

8x - 25 + 7x - 5 = 180    {bring the like terms together}

8x + 7x - 25 - 5 = 180   {add the like terms}

15x - 30 = 180    {add 30 to both the side}

15x = 180 +30

15x = 210          {divide both sides by 15}

15x/15 = 210/15

x = 14

∠B = 7x - 5 = 7*14 - 5

      = 98 - 5

 ∠B = 93°

Answer:

Step-by-step explanation:

27

Answer:

2+2=4

Step-by-step explanation:

....................

Answer:

5+10=25-10

Step-by-step explanation:

They both equal fifteen so it's good

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Answer:

1st one: DEB

2nd one: HL

Step-by-step explanation:

By segment addition property, the lengths of the hypotenuse side of both

triangles ΔAFC and ΔDEB are equal.

Response:

Please find attached the diagram representing the triangles

ΔAFC and ΔDEB overlap

Point B is located on side [tex]\mathbf{\overline{AC}}[/tex]

Point C is located on side [tex]\mathbf{\overline{BD}}[/tex]

∠AFC = ∠BED = 90°

[tex]\overline{FA}[/tex] ≅ [tex]\overline{ED}[/tex]

[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]

A statement and reason pair that can be used to prove that [tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex] is given as follows;

Statement [tex]{}[/tex]                                               Reasons

[tex]\overline{FA}[/tex] ≅ [tex]\overline{ED}[/tex] [tex]{}[/tex]                                               Given

ΔAFC and ΔDEB are right triangles[tex]{}[/tex]      Definition of right triangles

[tex]\overline{AB}[/tex] = [tex]\overline{CD}[/tex]   [tex]{}[/tex]                                               Definition of congruency

[tex]\overline{BC}[/tex] ≅ [tex]\overline{BC}[/tex]  [tex]{}[/tex]                                               Reflexive property

[tex]\overline{BC}[/tex] = [tex]\overline{BC}[/tex]  [tex]{}[/tex]                                                Definition of congruency

[tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex] + [tex]\overline{BC}[/tex] [tex]{}[/tex]                              Substitution property

[tex]\overline{BD}[/tex] = [tex]\overline{AC}[/tex]  [tex]{}[/tex]                                   Substitution and segment addition property

ΔAFC ≅ ΔDEB  [tex]{}[/tex]                                Hypotenuse leg (HL) rule of congruency

[tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex]  [tex]{}[/tex]                                              CPCTC

CPCTC is the acronym for Corresponding Parts of Congruent Triangles are Congruent

A statement/reason pair that can be used is therefore;

Learn more about congruency theorem here:

https://brainly.com/question/2102943

Answer:

52 people

Step-by-step explanation:

If you place 25 square tables in a line, the 23 tables in the middle can only seat 2 people each since the other two sides are touching two other tables. The end two tables can seat 3 people since only one of their sides is touching another table.

So multiply 23 by 2 to find out how many people are sitting in the middle and then add 6 people for the two tables on the end.

23(2) + 3(2) = 52 people

Answer:

Step-by-step explanation:

298-58=248

248/2=124

small one=124

big one=(124+58)=182

Answer:

2000 meters

Step-by-step explanation:

The first step in this problem is to find 2/3 of 3 kilometers per hour.

2/3 * 3/1 = 6/3. This can be simplified to 2 kilometers per hour.

Now, find the rate of meters per minute. To do so, multiply 2 by 1000.

2 * 1000 = 2000

Therefore, at 2/3 of Lucia's rate, she walks 2000 meters per minute.

Answer:

The answer is 75 meters per minute.

Step-by-step explanation:

Ok I been seeing people say 2000 meter which is WRONG. 1 kilo= 1,000 meters

2/3 of an hour= 40 minutes

3,000 meters/40mins= 75 meters per minute

(Your welcome ladies and gents)