1. Show that
(10a + 5)^2 = 100a(a + 1) + 25,
for every a real number. How is this formula explaining the rule we have, to square a number
which ends in 5, such as
25^2 = 625, 35^3 = 1225, 105^2 = 11025^2, etc. ?

Answers

Answer 1

Answer:

 (10a+5)²= 100 a( a+1) + 25

Step-by-step explanation:

Explanation:-

Given

     (10a+5)²

By using (a+b)² = a² +2ab +b²

                   = (10a)²+ 2 × 10a× 5 + (5)²

                   = 100a² + 100a + 25

                   = 100 a( a+1) + 25


Related Questions

7. What is the DEGREE of the following binomial:
3x-2

Answers

I believe the answer is 1

1000-(864%2+336%3+648%2)=

Answers

Answer:

959.72

Step-by-step explanation:

you have to simplify

Step-by-step explanation:

=1000-864%2-336%3-648%2

=1000-17.28-10.08-12.96

=-11123.36

Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.

Answers

Answer:

(a) and (f)

Step-by-step explanation:

Given

[tex]y = 5x + 12[/tex]

See attachment for table and options

First, we calculate the slope of the table

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

Using:

[tex](x_1,y_1) = (2,29)[/tex]

[tex](x_1,y_1) = (4,53)\\[/tex]

So, we have:

[tex]m = \frac{53- 29}{4 - 2}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation is then calculated using:

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

This gives:

[tex]y = 12*(x -2) + 29[/tex]

[tex]y = 12x -24 + 29[/tex]

[tex]y = 12x+5[/tex]

So, we have:

[tex]y = 5x + 12[/tex] --- The given equation

and

[tex]y = 12x+5[/tex] --- The equation of the table

An equation is represented as:

[tex]y = mx + b[/tex]

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: [tex]y = 5x + 12[/tex]

Rate of change = 5

y intercept = 12

For the table: [tex]y = 12x+5[/tex]

Rate of change = 12

y intercept = 5

In conclusion:

(a) [tex]y = 12x+5[/tex] has the greater rate of change:

and

(f) [tex]y = 5x + 12[/tex] has the greater y intercept


5.A store had five different lengths of extension cords for sale. Four of the
lengths were 9 feet, 10 feet, 12 feet, and 8 feet. The range of the lengths
of all the extension cords was 6 feet. Which could be the length of the fifth
size of extension cords?

Answers

Range is the difference between the largest number in a series and the smallest. The problem says the range is 6 feet. So if 12 is the longest, we can subtract 6 from that and see the fifth one is 6 feet long. Another option is to take the 6 (range), and add it to the shortest one we know, 8 feet. 6+8= 14

Your answer is “6 feet or 14 feet”

Answer:

Your answer is 6 feet because if the rang is 6 than the fith number would be 6.

Rang is the maximum number in this cause is 12, minis the minimum.

If my radius is 10 feet, what is my diameter?

Answers

Answer:

Your diameter would be 20.

Step-by-step explanation:

1. Two radius added together is the diameter (if you're talking about a circle.)

2. You add 10+10 because as you said your radius is 10.

3. It would be 20.

Hope this helped!

write an equation to represent the following statement. k divided by 11=7. solve for k. k=?

Answers

Answer:

77

Step-by-step explanation:

77/11=7

Answer:

k=77 because 77/11 is 7

Step-by-step explanation:

The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?

Answers

Answer:

L = 15

W = 11

Step-by-step explanation:

P = 2L + 2W

2L + 2W = 52                         Divide each term by 2

2L/2 + 2W/2 = 52/2

L + W = 26                              Substitute the value for L

W + 4 + W = 26                      

2W + 4 = 26

2W = 26 - 4                            Subtract 4 from both sides

2W = 22                                  Divide by 2

W = 22 /2

W = 11

L = W + 4

L = 11 + 4

L = 15

Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 181818 chocolate candy bars, and the second gift is a pack of 121212 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?

Answers

answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step

Step-by-step explanation:

The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.

Answer:

There are 6 snack bags that Destiny can make.

Step-by-step explanation:

Since we have given that

Number of chocolate candy bars in the first gift =18

Number of cookies in the second gift = 12

Since Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins,

So, Destiny can make the greatest number of snack bags is given by

So, there are 6 snack bags that Destiny can make.

Gym A charges $60 a month plus $4 per visit. The monthly cost at Gym B is represented by y = 4x + 50, where x is the number of visits per month. What conclusion can you draw about the monthly costs of the gyms? Since the rate per visit is less at Gym A , the monthly cost of Gym A is always more than Gym B.

Answers

Answer:

Gym A has 56 visits per month and Gym B has 46 visits per month.

Step-by-step explanation:

y=4x+60, which gives us 56

y=4x+50, which gives us 46

Find four consecutive odd integers if the sun of the first and fourth is 3 less than 3 times the second

Answers

Answer:

5

Step-by-step explanation:

help now pls bby pls

Answers

Answer:

Cities around the country are changing. Faded boards, dull concrete, and old bricks are coming to life. Communities are are turning walls of their buildings, roads, and bridges into colorful murals. Painters might show local scenes, honor a hero or celebrate a culture. Murals can also be great projects for schools. They encourage teamwork, school spirit, and creativity. What would you paint? Your mural could inspire people to recycle, be a volunteer or cheer for a team.

Step-by-step explanation:

there are commas where they are supposed to be

Answer:

yes

Step-by-step explanation:

exact volume of this cylinder ​

Answers

I am taking this quiz but I'm pretty sure its....c

Answer:

Volume=πr2h=π·42·8≈402.12386

Step-by-step explanation:

The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly

Answers

Answer:

d

Step-by-step explanation:

of course it is Charlie as he just walked 11.8 miles

Let the amount of money Tabitha started with be represented by x.
Tabitha then earned $52, spent $40,earned $28, and spent $58.How
much money, in terms of x, does Tabitha have now?

Answers

If Tabitha started with $50, then she would have $38 left.

Step-by-step explanation:

50 + 52 = 102.

102 - 40 = 62.

62 + 28 = 90.

90 - 58 = 38.

Answer:

38

Step-by-step explanation:

hi

A pair of cleats and a pair of crocs is $200 the difference in the cost is $55 determine the cost of each type of footwear

Answers

X= cleats
(X-55)crocs
X +(x-55) = 200
2x=255
X=127.50
127.50-55= 72.5

So one is 127.50 and the other is 72.50

(I’m guessing in the problem it says which one is cheaper) therefore you know what answer correlates with the crocs and cleats

A right triangle has legs e and fand hypotenuse h. The value of e = 10. The angle opposite legfis
35º. Which expression can be used to find the length of the hypotenuse?

Answers

Answer:

[tex]hyp=\frac{10}{cos(35^o)}[/tex]

Step-by-step explanation:

The trigonometric function that uses the value of the angle, the value of the adjacent side (e) and the hypotenuse is the cosine of the angle as shown below:

[tex]cos(35^o)=\frac{adj}{hyp} =\frac{10}{hyp} \\hyp=\frac{10}{cos(35^o)}[/tex]

please help me thank you

Answers

Answer:

y= - 1/6x-2

I hope it helped

HELP AGAIN I NEED IT BADLY

Answers

Answer:

A. 5b - w + 8

Step-by-step explanation:

3w + 6 - 4w + 3b + 2 + 2b

= 3w - 4w + 3b + 2b + 6 + 2

= -w + 5b + 8

= 5b - w + 8

=> A. 5b - w + 8

2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor


esto es de fisica

Answers

àaaaaaaaaaaaass la verdad no se

Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!

Answers

for number 3 it is 56 pints! i’ll do the other ones in a second
3: 7gallons = 56 pints

If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.

Answers

Answer:

All of what he had

Step-by-step explanation:

Answer: jimmy will have it all

Step-by-step explanation:

DASAROLLA:

a) (x+3) (x+5)=

b) (x+4) (x-5)=​

Answers

Answer:

a)[tex]x^{2}[/tex]+8x+15

b)[tex]x^{2}[/tex]-x-20

Step-by-step explanation:

a) (x+3)(x+5)

a)[tex]x^{2}[/tex]+5x+3x+15

a)[tex]x^{2}[/tex]+8x+15

b) (x+4)(x-5)

b) [tex]x^{2}[/tex]-5x+4x-20

b)[tex]x^{2}[/tex]-x-20

a scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 10,080 inches long What is the width of the actual park, in inches

Answers

Shorter Answer:

7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

Answer: 56 000 yards

LongerAnswer (going more into depth):

Area of the actual park is 56000 square yards.

Step-by-step explanation:

A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.

Actual length of the park has been given as 280 yards.

So scale factor used in the drawing is 7 inches = 280 yards

Or 1 inch = 40 yards

Since width of the rectangular park is = 5 inch  

So actual width of the park will be = 5×40 = 200 yards

Now we can calculate the area of the park.

Actual area of the park = Length × Width

= 280×200

= 56000 yards²

Therefore, area of the actual park is 56000 square yards.

convert 120 grains to dram

Answers

Answer: 4.38856

Simplified Answer: 4.4

Hope This Helped

Is the point (1,5)a solution to the equation y=2x+3?​

Answers

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{ G \: I \: V \: E \: N \: \: P \: O \: I \: N \: T}}}} : [/tex]

( 1 , 5 )

✰ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\: E \: N \: \: E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]

y = 2x + 3

✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\:I \: N \: D}}} }: [/tex]

Whether the point ( 1 , 5 ) , a solution to the equation y = 2x + 3 or not.

[tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]

Assuming the the value of x and y as 1 and 5 respectively. Now , plug the values of x and y in the given equation & let's see whether the point ( 1 ,5 ) , solution to the equation y = 2x + 3 or not !

⟶ [tex] \large{ \tt{5 = 2 \times 1 + 3}}[/tex]

⟶ [tex] \large{ \tt{5 = 2 + 3}}[/tex]

⟶ [tex] \large{ \tt{5 = 5}}[/tex]

Since we got 5 on R.H.S & L.H.S, So yeah! The point ( 1 , 5 ) is a solution to the equation y = 2x + 3.

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

1. Estimate the y intercept for the line of best fit for the data

2. What kind of correlation exists between the data graph

Answers

Answer:

10)  (15, 2)

11)  5

12)  positive

Step-by-step explanation:

find product of 3/8 × 4​

Answers

Answer:

1 and 1/2 or 1.5

Step-by-step explanation:

3/8 × 4/1 = 3/2 = 1 and 1/2

Result in decimals: 1.5

Calculation steps:

3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8

12 ÷ 4 = 3

8 ÷ 4 = 2

= 3/2 = 1 and 1/2

Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6

Answers

Answer:

The ans is 3,4,5

Step-by-step explanation:

Hope it helps you Tq

Decide if the following is a true or false statement - explain how you know

(- 1/2) - (4.25) is positive

Answers

Answer:

False

Step-by-step explanation:

The equation equals -1/2 - 4.25 which is -4.75, which is negative.

Hope that helps!

3x+2>29. solve for x

Answers

Answer:

x>9

Step-by-step explanation:

3x+2−2>29−2

3x>27

divide by 3

3x/3>27/3

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