factorize, completely each of the following expression
1-4h^2

Answers

Answer 1

Answer:

(1 + 2h)(1 - 2h)

Step-by-step explanation:

[tex]1 - 4h^2 = 1 ^2 - (2h)^2[/tex]

          [tex]=(1 - 2h)(1 + 2h)[/tex]                       [tex][ \ a^2 - b^2 = (a - b)(a+b) \ ][/tex]


Related Questions

Suzie bought 17.75 lbs of flour. If the price for 1lb is $19.68, calculate the total amount she paid to the shopkeeper

Answers

17.75 x 19.68 = $349.32 is the answer
17.75 pounds of flour
( excluding the .75)
17 x 19.68 = $334.56
.75 = 3/4
19.68 / 4 = $4.92
($4.92 for every quarter of a pound)
4.92 x 3 = $14.76 ( .75 = 3/4)
334.56 + 14.76 = $349.32
CHECK
17.75 x 4 = 71 ( Figure out how many fourths make 17.75)
71 x 4.92 = $349.32

She paid the shopkeeper $349.32

I need to know what this is? Can someone tell me… Honestly. What is the value of x?

Answers

Answer:

98º

Step-by-step explanation:

The sum of angles in a triangle is 180

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

The missing angle in the triangle

180 - 45 - 53 = 82º

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

x is supplementary to 82º

x = 180 - 82

x = 98º

23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?

Please help?

Answers

Answer:

median = 25. that's the answer

Answer:

Mean - 25

median - 25

range - 10

mode - 25

Which of the following expressions can be used to calculate the area of a square with side lengths 5 inches?
- 5 + 4
- 5 x 4
- 5 x 5
- 5 + 5

Answers

Step-by-step explanation:

5x5

because 5^2 equals the area

please explain fully and i give brainiest thanks and 5 stars

Answers

Answer:

[tex]a=7,\\b=3[/tex]

Step-by-step explanation:

The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.

Therefore, we can write the following system of equations:

[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]

Expand the first equation:

[tex]9a+ab=84[/tex]

Substitute the second equation into the first ([tex]ab=21[/tex]):

[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]

Solving for [tex]b[/tex]:

[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]

Answer:

Step-by-step explanation:

Hope this helps u!!

Please help what’s the answer ??

Answers

Answer:

x = 8

In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.

6 + 6 + 6 = 18

Which expression is equivalent to

Answers

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

pls help me this is due in 30 minnutes

Answers

Answer:

The surface area is 88ft.

Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)

31 x 01111111111111111111111111

Answers

3.4444444444444444444444444444

Answer:

3.444444444444444

Step-by-step explanation:

Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far apart the be in 3 minutes 5 minutes? 10 minutes?​

Answers

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

URGENT PLEASE HELP ME !!!!

Answers

Answer:

CO

Step-by-step explanation:

Conditional: If p, then q.

Converse: If q, then p.

Conditional: If the measure of an angle is 90 degrees, then it is a right angle.

If p, then q.

p = the measure of an angle is 90 degrees

q = it is a right angle

Converse:

If q, then p.

If it is a right angle, then the measure of the angle is 90 degrees.

Answer: CO

28 and/or 29 pls. Find the value of x and y.

Answers

Answer:

Step-by-step explanation:

for y

take 30 degree as reference angle using sin rule

sin 30=opposite/hypotenuse

1/2=9/y (do cross multiplication)

2*9=y

18=y

for x

using pythagoras theorem

a^2+b^2=c^2

9^2+x^2=18^2

81+x^2=324

x^2=324-81

x^2=243

x=[tex]\sqrt{243[/tex]

x=9[tex]\sqrt{3[/tex]

Which grid shows only a translation of the shaded polygon to create the unshaded polygon?
A

B

C

D

Answers

D because the shape match up to the question

0.25 , 0.5 , 0.375 , 2.5 , 0.125 in asending order ..​

Answers

0.125 is the CLOSEST to 0 while 2.5 is the FARTHEST. Using this as a guide, the order is: 0.125, 0.25, 0.375, 0.5, 2.5. Hope this helped :)

2. Which relations are functions? Explain. For each graph, state the domain and range.

Answers

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?

Answers

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the concept of similar shapes to solve this problem.

Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.

Now,

The first container has a height of h1 and can hold v1 units of liquid.

Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.

So,

h2/h1 = (volume of container 2) / (volume of container 1)

Solving for the volume of container 2.

(volume of container 2) = (h2/h1) x (volume of container 1)

Substituting the given values, we get:

(volume of container 2) = (h2/3) x (1000)

where we have converted 1 liter to 1000 cubic centimeters.

Simplifying this expression.

(volume of container 2) = (1000/3) x h2

Therefore,

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

Learn more about expressions here:

https://brainly.com/question/3118662

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Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m

:)

Answers

Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

The values a,b and c.

Answers

Answer:

a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4

Step-by-step explanation:

Given

x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c

with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4

Please Help me. I get so confused doing these questions.

Answers

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle

Answers

Answer:

B

Step-by-step explanation:

a rectangle that is not a square

The plane will be rectangular which is not a square. Then the correct option is B.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.

Let a be the side length of the cube.

The length of the rectangular plane will be

L² = a² + a²

L = a√2

Then the dimension of the plane is 'a' and 'a√2' units.

The plane will be rectangular which is not a square. Then the correct option is B.

More about the rectangle link is given below.

https://brainly.com/question/10046743

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∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 55^\circ55 ∘ 55, degrees. What is the measure of \angle b∠bangle, b? \Large{^\circ} ∘

Answers

Answer:

35

Step-by-step explanation:

Cause they both add up to a right angle which is 90 degrees. so 90-55=35

angle, a and ∠angle, b are complementary angles. ∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees. so we can conclude that ∠b = 35.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

angle, a and ∠angle, b are complementary angles.

∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees.

we want to measure ∠ b

We know that the sum of Complementary angles is equal to 90 degrees.

so to find the measure of angle B we subtract the given angle from 90

∠ b + ∠ a = 90

∠ b + 55 = 90

∠ b = 90-55

∠ b =35

so we can conclude that ∠b = 35.

Learn more about the triangles;

https://brainly.com/question/2773823

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please help me i am in need of serious help or ill flunk :(

Answers

co.op

interest = principle * rate * time in years

8000*0.09*1= 720$

total owed =

principle + interest

8000+720= 8720$

bank

interest = principle * rate * time in years

interest = principle * rate * time in years8000*0.06*1= 480$

principle + interest

8000+480= 8480$

......

6)

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest =

1500(1+0.12)^2

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

she should choose Bank A less total owed

she'll have to pay the bank 2040$

Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how

Answers

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml

Answers

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml

It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can leave to drive to work and arrive by 9:00 am

Answers

8:50 am

1/3 of 30 = 10 min (so it takes 10 min for him to drive to work)

9:00-10min = 8:50

Caio comprou uma lembrancinha para todos os seus amigos e gastou R$12,50. Qual fração pode representar esse valor? 125/2 25/5 125/5 25/2

Me ajuda

Answers

Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

An architect drew plans for an office building.
The building will have the dimensions shown.

Building is made up of 2 cuboids. First cuboid has length as 10 ft, height as 12 ft and width as 10ft. Second cuboid has length as 10 ft, height as 30 ft and width as 10 ft.

Part A
Which is an expression for the total volume of the building?
A. (20 × 10 × 30) + (12 × 10 × 10)
B. (10 × 10 × 30) + (10 × 10 × 12)
C. (30 × 10 × 10) + (10 × 10 × 20)
D. (10 × 20 × 30) + (10 × 12 × 20)
Part B
What is the volume of the building? Enter your answer in the box.

ft3

Answers

Answer:

b

Step-by-step explanation:

What is the median of this data set? {22, 5, 9, 1, 7, 3) Enter your answer in the box median =​

Answers

Answer:

7 is the answer to your question

Help please, my 2nd time asking this question.

Answers

(1 / 4) + (1 / 2)

= (1 / 4) + {(1 × 2) / (2 × 2)}

= (1 / 4) + (2 / 4)

= 1 + (2 / 4)

= 3 / 4

(1 / 2) + (3 / 8)

= {(1 × 4) / (2 × 4)} + 3 / 2

= (4 / 8) + (3 / 8)

= (4 + 3) / 8

= 7/8

Answer:

#3 is [tex]\frac{3}{4}[/tex]    #4 is [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

you must find a common denominator in both problems.

For #3 the common denominator is 4 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{2}{2}[/tex] to get [tex]\frac{2}{4}[/tex] then add the numerators together to get 3 and the denominator stays 4.

[tex]\frac{1}{4} + \frac{2}{4} = \frac{3}{4}[/tex]

For #4 the common denominator is 8 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{8}[/tex]

then add the numerators together to get 7 and denominator stays 8.

[tex]\frac{4}{8} + \frac{3}{8} = \frac{7}{8}[/tex]

Which table represents a linear function?

Answers

Answer would be C b/c it just is okay ! Get me point already

Answer:

c I am pretty sure of deep nuts u am playin it c

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