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

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:

[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]

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

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

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

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]

Answer:

should be 74 degrees,,,

Answer:

74

Step-by-step explanation:

Since angle 74 equals x

Answer:

12

Step-by-step explanation:

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

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]

Answer:

y1=-6.92

y2=-0.5146

Step-by-step explanation:

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:

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.

Answer:

2/6

Step-by-step explanation:

Answer:

9 km

Step-by-step explanation:

you add the distance Aaron ran

Answer:

1809 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 24 in

Step 2: Find Area

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

Answer: A

Step-by-step explanation its easy

Answer:

C. fraction 1 over 9 ft3

Step-by-step explanation:

Hope I helped!!

I’m just gonna guess but I think 6

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]

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

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

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:

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

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

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]

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

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

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

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.