how to factorise 5h^2-12hg​

Answers

Answer 1

Answer:

[tex]h(5h-12g)[/tex]

Step-by-step explanation:

[tex]5h^2-12hg[/tex]

When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].

[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]

Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.

I hope this helps!


Related Questions

Which of the following expressions represent a value greater than 4/5 ? A: 4/5 x 3/3. B: 4/5 x 1/2. C: 4/5 x 5/4 D: 4/5 x 4/5

Answers

Answer:

C = 1.

Step-by-step explanation:

A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.

B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.

C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.

D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.

Hope this helped!

Select all sports that apply (you may select more than one). The underhand serve is used in...

Badminton
Tennis
Soccer
Pickleball
Voleybal.


Answers

Volleyball, tennis and badminton , I think
Volleyball
Badminton (i believe )

find the perimeter and area of the rectangle with vertices (1, -2), (1, 7), (-3, 7), and (-3, -2)

Answers

Answer:

26

Step-by-step explanation:

9+4+9+4=26

Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?

Answers

Answer:

9%

Step-by-step explanation:

9% of 500 is 45

9% of 400 is 45 is the answer is 9%

I need help on this :)

Answers

Answer:

<

Step-by-step explanation:

Need points :(

Answer:

Step-by-step explanation:

x+23+x=90

2x=67

x=33.5

A radar unit tracks a target which may use interference. If the target does not employ interference, then during on surveillance cycle the unit may detect it with probability p0. If it employs interference, then the unit may detect it with probability p1 < p0. The probability that the interference will be used in one cycle is p and does not depend on the way and time the interference was used in other cycles. Find the probability that the target will be detected at least once in n surveillance cycles.

Answers

Answer:

The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]

Step-by-step explanation:

For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. This means that the binomial probability distribution is used to solve this question:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of detecting a target:

p0 of 1-p (without interference)

p1 of p(with interference). So

[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]

Find the probability that the target will be detected at least once in n surveillance cycles.

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]

[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]

So

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]

The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]

cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto? ​

Answers

Answer:

se necesitan aprox 50 galones para llenarlo por completo

Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

Answer:

3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know

Step-by-step explanation:

Wat is the word form for 8.008​

Answers

Answer:

8.008 in Words: eight and eight thousandths in (US) American English, Number Converted (Spelled Out) to Words.

Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?​

Answers

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121

What is the y-intercept for y = 4x + 7

Answers

Answer: -7 is the y intercept

Step-by-step explanation:

what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left and 6in on the right ​

Answers

So I’m thinking of this as two triangles. So I would do 16x8/2 which equals 64 and 10x6/2 which equals 30. So my guess is that the area is 94in^2. Hope this helps you out!

Please help with this slope problem!!

Answers

The answer would be point-slope= y+4=-4(x+2) and slope-intercept= y=-4x-12

Hope this helps

Have a great day/night
Feel free to ask any questions

Which graph represents the solution to the compound inequality?

–6 < 3x – 12 ≤ 9

A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.

Answers

Answer:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Step-by-step explanation:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Answer:

B

Step-by-step explanation:

edge 2022

Problem 2

An online retailer advertises the following shipping and handling fees for every order:


Order Amount ($)

0 – 49.99

50 – 75.99

76+

Shipping and Handling ($)

3.95

11.95

5.95


The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.

**Assume that the shipping and handling is added after the sales tax is applied to the order.

Part a)

Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)



Part b)

Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)


Part c)

Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)

Answers

Answer:

Let the 'cart' total is x and total payment is y.

The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.

Part A

There are three intervals as below and function added accordingly:

0 < x ≤ 49.99      ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99    ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76                  ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part C

y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.

89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )

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

Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.

What is the value (3/4)3

Answers

Answer:

9/4

Step-by-step explanation:

Answer:

-(11/4)

Step-by-step explanation:

What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1

Answers

Answer:

6

Step-by-step explanation:

6 is the correct answer because-3-3+1

!! IMPORTANT !! WILL GIVE BRAINLIEST !!

Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.

!! PLEASE HELP !! THANKS !!​

Answers

Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   [tex]10x^{2} - 200x = 1250[/tex]

                         [tex]10x^{2} -200x - 1250 = 0[/tex]

                           [tex]10(x^{2} -20x - 125)\\[/tex] = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard

An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $20.00.




15 necklaces and 1 bracelet



8 necklaces and no bracelets



no necklaces and 16 bracelets



3 necklaces and 8 bracelets



no necklaces and 8 bracelets



5 necklaces and 6 bracelets

Answers

Answer:

8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets

Step-by-step explanation:

15 necklaces and 1 bracelet equals $38.75

8 necklaces and no bracelets equals 20

no necklaces and 16 bracelets equals 20

3 necklaces and 8 bracelets equals 17.5

no necklaces and 8 bracelets equals 10

5 necklaces and 6 bracelets equals 20

Find the slope of the line passing through the points (-2,3) a
and
(-9,6).

Answers

Answer:   Slope = -3/7

===================================================

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(-9-(-2))

m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

This means each time you go down 3 units, you go to the right 7 units.

Slope = rise/run = -3/7

rise = -3 and run = 7

6. 5x + 3y = 22
5x – 2y=2

Answers

Answer:

the answer would be (2,4)

x=2 y=4

Answer:(2,4)

Step-by-step explanation: n o t h a n k y o u

If $9450 is invested at a rate of 12.5%,
compounded continuously, how much will it
be worth in 20 years?

Answers

Answer:

The final balance is $113,645.52.

The total compound interest is $104,195.52.

Step-by-step explanation:

12. If AC=4 and CD=4 13 in the figure below, what is cos x? B 45 45° А Xº D A. 2 13 B. 3 12 C. 2 13 D. 2 E. 1 4 C С 4-13​

Answers

Answer:

c

Step-by-step explanation:

Find the value of x.

Answers

Answer:

64

Step-by-step explanation:

Answer:

The answer is 61˙

Step-by-step explanation:

The total trapezoid is supposed to equal to 360

100 + 130 + 66 + x

230 + 66 + x

299 + x

360 - 299 = 61

SOMEONE SAVE ME FROM FAILING PLEASE

Answers

Answer:

Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Answer:

y - 3 = -2(x + 4)

Is borrowing money a

Delegated power
Reserved power
Concurrent power

Answers

I believe that it is a concurrent power

Answer:

C. concurrent power

Step-by-step explanation:

Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.

Which expression is equivalent to 4f/3÷1/4f

Answers

simplified this is 16f^2/3

DI
A rectangle measures x cm
by (x + 4)cm.What are the width and length of the rectangle?​

Answers

Answer:

gggghgbvbbnc niutuyyttttt

please help me with geometry question :)

Answers

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

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

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

True or false

what is always true about an isosceles triangle

1.one of the angles is 90 degrees

2.at least two angles are congruent

3.all of its sides are congruent

4.at least two sides are congruent

5.all of its angles are congruent

Answers

4. at least two sides are congruent
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