Mathematics College

Match each expression with its equivalent expression.

a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2

1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x

Answers

Answer 1

Answer:

a -> 3

b -> 4

c -> 1

d -> 5

e -> 2

Step-by-step explanation:

We apply the properties to solve this question.

a. √4x^2y^4

[tex]\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2[/tex]

So a -> 3

b. √8x^2y

[tex]\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}[/tex]

So b -> 4

c. √4x^2y

[tex]\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}[/tex]

So c -> 1

d. √16xy^2

[tex]\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}[/tex]

So d -> 5

e. √8xy^2

[tex]\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}[/tex]

So e -> 2

Related Questions

3 liters split into 10 people equally?​

Answers

Answer:

3.3333333333333333333333333333333

Step-by-step explanation:

10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

Find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points.
f (x, y) = x^2 + y^2 + 2xyf(x,y)=x 2 +y 2 +2xy

Answers

Answer:

[tex]y =-x[/tex] ---- critical point

local minima

Step-by-step explanation:

Given

[tex]f(x,y) = x^2 + y^2 + 2xy[/tex]

Required

Determine the critical point

Differentiate w.r.t x

[tex]f_x =2x + 2y[/tex]

Differentiate w.r.t y

[tex]f_y =2y + 2x[/tex]

Equate both to 0

[tex]2x + 2y =0[/tex]

[tex]2y =0-2x[/tex]

[tex]2y =-2x[/tex]

Divide by 2

[tex]y =-x[/tex] ----- in both equations

Hence:

The critical point is: [tex]y =-x[/tex]

Solving (b):

We have:

[tex]f_x =2x + 2y[/tex]

[tex]f_y =2y + 2x[/tex]

This is represented as:

[tex]D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right][/tex]

Calculate the determinant

[tex]|D| =2 * 2 -2 * 2[/tex]

[tex]|D| = 4-4[/tex]

[tex]|D| = 0[/tex]

The critical point is at local minima

PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).

Answers

Using the distance formula I got 13 I’m sorry if it’s wrong bestie
i think -8.6 is the answer for this

Will give Brainliest! 10 points!
Provide reasons for the statements of this proof.

Answers

Answer:

See Below.

Step-by-step explanation:

Statements:                                                  Reasons:

[tex]\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC[/tex]   Given

[tex]\displaystyle 2)\, BD\cong CD[/tex]                                                  Definition of Midpoint

[tex]\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ[/tex]          Definition of Perp. Lines

[tex]\displaystyle 4)\, m\angle ADB=m\angle ADC[/tex]                                 Substitution

[tex]\displaystyle 5) \angle ADB\cong \angle ADC[/tex]                                       Definition of Congruence

[tex]\displaystyle 6)\, AD\cong AD[/tex]                                                  Reflexive Property

[tex]\displaystyle 7)\Delta BDA\cong\Delta CDA[/tex]                                       SAS Congruence

what is the slope of the line that passes through (7,-3) and (-5,-1)

Answers

Answer:

i dont know

Step-by-step explanation:

You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.

Remember that y2 - y1 / x2 - x1 = m

m= slope

Graph the line with slope - 1 passing through the point (-3, 3). ​

Answers

Answer:

Y=-x

Step-by-step explanation:

Y=mx+c

y=3, x= -3, m=-1

(-1)(-3)=3

3-3=0

S0,

c=0

y=-x

Answer:

This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!

Step-by-step explanation:

Which equation is equivalent to f(x) = -3(x-2)^2 + 14?

Answers

Answer:

-3x² + 12x + 2

Step-by-step explanation:

[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]

A square patio has an area of
81 m2
. How long is each side?

Answers

One side is 9 meters

Explanation:
To find an area of square, use this formula:
a^2
a is one side length

9^2 = 81

In this case, area is measure in meters squared:
So the area is 81 m^2 and the side length matches.

I hope this helps

Find the perimeter of the figure.

Answers

Answer:

A) 60

Step-by-step explanation:

P = 5+5+11+9+(5+11)+(9+5)

P = 60

Answer:

A. 60 m

Step explanation:

Perimeter for the small cube

5+5+5+5=20

Perimeter for the rectangle

9+9+11+11=40

Add 20 plus 40 to find the perimeter for the whole shape

20+40=60

Hope this helps

Clue #2: You use a total of 11 base ten blocks to show this number. The
number of tens blocks is greater than the number of ones blocks.


Clue #3: 9,4 and 6 are all not a digit in the number.

Answers

Answer:

12

Step-by-step explanation:

please answer both questions thanks​

Answers

Answer:

5. tan(25) = 12/x

x · tan(25) = 12

x = 12/tan(25)

= 25.734

≈ 25.73

6. tan(52) = x/3.4

x = 3.4tan(52)

= 4.352

≈ 4.4

Solve by factoring: WRITE IT AS A FRACTION
6x^2 - 13r = -2​

Answers

Answer:

2/6

Step-by-step explanation:

how do you solve this math problem
using substitution n=5n n=2/3m-13

Answers

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

explanation please will give brainliest.​

Answers

Answer:

[tex]AC = 28[/tex]

Step-by-step explanation:

Given

[tex]AB = 16[/tex]

[tex]BC = 12[/tex]

Required

Determine AC

Since A, B and C are collinear, then:

[tex]AC = AB + BC[/tex]

So, we have:

[tex]AC = 16 + 12[/tex]

[tex]AC = 28[/tex]

Easy question please help

Answers

Answer:

[tex]y = 3x - 2[/tex]

Step-by-step explanation:

Required

The equation of the above linear function

From the table, we have:

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,4)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{4 -1}{2 -1}[/tex]

[tex]m = \frac{3}{1}[/tex]

[tex]m =3[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 3(x - 1) + 1[/tex]

[tex]y = 3x - 3 + 1[/tex]

[tex]y = 3x - 2[/tex]

Please help ASAP !! Will mark brainless to whoever gets it right

Answers

Answer:

should be 74 degrees,,,

Answer:

74

Step-by-step explanation:

Since angle 74 equals x

All of the following are advantages of self-imposed budgets except:_______.
a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.
b. Motivation is generally higher when individuals participate in setting their own goals than when the goals are imposed from above.
c. Individuals at all levels of the organization are recognized as members of the team whose views and judgments are valued by top management
d. Self-imposed budgeting may allow lower-level managers to create budgetary slack.

Answers

Answer:

a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.

Step-by-step explanation:

The following is the exception in the self-imposed budgets among other listed  statements.

Q6. Yesterday Aaron ran 5 km. This morning Aaron ran 4 km. How far did Aaron run altogether?
warnment elections
Iof the votes for treasurer and
07

Answers

Answer:

9 km

Step-by-step explanation:

you add the distance Aaron ran

Can y’all help me on question 3?!

Answers

9514 1404 393

Answer:

  60 gallons

Step-by-step explanation:

The area of the trapezoid-shaped wall is given by ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.

The area of the wall is ...

  A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²

If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.

Isha needs 60 gallons of paint.

Answer:

Isha needs 60 gallons of paints to the wall.

Step-by-step explanation:

The area of trapezoid shaped like wall is given by :-

Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H

Where,

B ¹ and B ² are the length of bases and H is the perpendicular distance between them.

Area of wall = 1/2 × ( Base¹ + Base²) × Height

Where, according to question we have

Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ft

substitute the values

Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft

add the values of Base¹ and Base ²

Area = 1/2 × 20 ft × 6 ft

multiply

Area = 1 / 2 × 120 ft ²

divide

Area = 120 ft ² / 2 = 60 ft ²

It takes 1 gallon to cover 1 ft ². ... ( given)

So, For covering 60 ft ² it takes 60 gallons .

check

( 1 × 60 ) gallon = 60 ft ²

60 gallon = 60 ft²

How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
I
Use 3.14 for it and round your answer to the nearest millimeter if necessary.
1. What is the height of the cone? Explain how you found the height.
Best complete answer will get mark brainiest

Answers

Step-by-step explanation:

the volume of the cone = ⅓×3.14×20²×h

8,792 = 1,256 h/3

=> h = 3×8,792/1,256

= 21 mm

the height of the cone = 21 mm

the slant s = √20²+21²=√400+441

=√941 = 29 mm

Find the area of the goat pen.
500 m
65 m
O
32,500 m2
32,000 m2
32,500 m3
32,000 m
32,500 m

Answers

Answer:

option a is right hope it may help u

Step-by-step explanation:

cz area unit always comes in square

and volume comes in cube so don't be confused

[tex]32,500 {m}^{2} [/tex]

Hellpppp I’m stuck......

Answers

I’m just gonna guess but I think 6

i think it’s five
Vertical angles are angles that congruent and opposite of each other

How would write 0.5, 0.65, 2.35, and 1.06 in expanded forms

Answers

Can add da da ax casaz

Answer:

0 + 0.5, 0 + 0.6 + 0.05, 2 + 0.3 + 0.05, 1 + 0.06

Step-by-step explanation:

expanded form is just taking the number apart from ones to tenths to hundreds and so on, or from ones to tens to hundreds and then so on. then you just split it and put the numbers in added form.

on the scale of a map 4 cm represent 20 km if the distance between two points is 10 cm what is the actual distance between this points​

Answers

Answer:

50 km

Step-by-step explanation:

Given

[tex]r = 4cm : 20km[/tex] -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

[tex]r =10cm:x[/tex]

Equate both value s of r

[tex]10cm : x = 4cm : 20km[/tex]

Express as fraction

[tex]\frac{x}{10cm } =\frac{20km}{4cm}[/tex]

Multiply by 10cm

[tex]10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm[/tex]

[tex]x =\frac{20km}{4} *10[/tex]

[tex]x =5km *10[/tex]

[tex]x =50\ km[/tex]

Can you figure this out? Math kills me!

Answers

Answer:

m equals 27

Step-by-step explanation:

m+7=34

-7 = -7

m = 27

Answer:

m+7 =34

m=34-7

m=27

First option is the answer

what is 9x+12y
._.
so can you help me ?? ...umm :p

Answers

Simplifying

9x = 12y

Solving

9x = 12y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '9'.

x = 1.333333333y

Simplifying

x = 1.333333333y

answer 2 and 3. Look at the image

Answers

For b it is >
And for c the larger denominator will make the fraction less than one with a smaller denominator

Answer:

answers below.  Let me know if anything didn't make sense.  You definitely need to make sure you understand so you can put it into your own words.  

Step-by-step explanation:

2a:  The fraction bar for 4/5 would be more full.  if you cannot picture ityou may just have to draw it.  use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.

2b:  4/5 > 4/7

2c:  The idea is that as the denominator gets larger, those 4 pieces take up less and less space.  Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7  It ight be easier to envision something like 1/2 and 1/4.  Two 1/4s would make 1/2, so 1/4 is less than 1/2.

3a:  You could try thinking in percents or decimals.  1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%.  Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.  

3b:  the easyness is shown in my second idea in 3a.  it's super easy to cut a number in half.  it will either be a whole number or a number with .5 at the end.  then you can tell if your other fraction is bigger or smaller than 1/2

What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.

fraction 1 over 3 ft3
fraction 1 over 2 ft3
fraction 1 over 9 ft3
fraction 1 over 27 f

Answers

Answer: A

Step-by-step explanation its easy

Answer:

C. fraction 1 over 9 ft3

Step-by-step explanation:

Hope I helped!!

A circular table top has a radius of 24 inches.

What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.

Answers

Answer:

1809 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Circle Formula: A = πr²

r is radius

Step-by-step explanation:

Step 1: Define

Identify

r = 24 in

Step 2: Find Area

Substitute in variables [Area of a Circle Formula]:                                         A = (3.14)(24 in)²Evaluate exponents:                                                                                        A = 3.14(576 in²)Multiply:                                                                                                             A = 1808.64 in²Round:                                                                                                               A ≈ 1809 in²

Answer:

Area of circular table is 1,809 inches².

Step-by-step explanation:

Area of circular table is given by

Area = π r²

substitute the values

Area = 3.14 × ( 24 inches )²

evaluate the exponent

Area = 3.14 × 576 inches²

multiply the numbers

Area = 1,808.64 inches ²

Round

Area = 1,809 inches²

Y = -16x^2 + 119x + 57

Answers

Answer:

y1=-6.92

y2=-0.5146

Step-by-step explanation:

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