(x+a)^2 -7 = x^2 +10x +b

Work out the value of a and b.

Answers

Answer 1

Answer:

(x+a)²-7=x²+10x+b

simplifying,we get

x²+2ax+a²-7=x²+10x+b

the coefficient of x on both sides should be equal

therefore

2a=10

a=10/2=5

also for b

a²-7=b

5²-7=25-7=b

b=18

a=5


Related Questions


AABC-ADEF so if BC = 10, EF = 25 and AB = 20, then DE =

Answers

7.2.....................................

Carey Enterprises sold equipment on January 1, 2014 for $10,000. The equipment had cost $48,000. The balance in Accumulated Depreciation at January 1 is $40,000. Requirements: 1. Compute the gain or loss on sale 2. Prepare journal entries to record the sale of the equipment

Answers

The sale of an equipment is referred to as disposal of an asset. The required answers are:

1. Gain on disposal = $2000

2.    Journal entry for the disposal of the equipment.

                              Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000  

Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.

1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.

Thus, to determine the gain or loss on disposal;

                                         $'000

Cost                                     48

Accum. Depreciation          40

Carrying amount                   8

Gain or loss on disposal = Selling price - carrying amount

                                         = $10000 - $8000

                                         = $2000

The gain on disposal is $2000.

2.                           Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000                              

For more on disposal of asset, check: https://brainly.com/question/24098024

If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK

Answers

Answer:

the input number is -10

Step-by-step explanation:

output is always y

input is always x

so instead of y, put -52

-52=5x-2  add 2 to each side to ger 5x by itself

-50=5x     divide both sides by 5 to get x by itself

-10=x

x is the input so the input is -10

What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30
(6, 3)
(3, 6)
(7, –6)
(–6, 7)

Answers

Answer:

Step-by-step explanation:

For x+3y=15

Take (6,3) and substitute the points:

6+3(3)=15

6+9=15

15=15

For 4 x + 2 y = 30 and substitute the points:

4(6)+2(3)=30

24+6=30

30=30

So, (6,3) is the solution of the given system of equations.

If you need to ask any questions, let me know.

In the inequality -2 < 2, which number appears farther right on a number line and why?​

Answers

Answer:

2

Step-by-step explanation:

2 is farther right on the number line because it is a positive number while -2 is negative.

Find the value of x and y.

Answers

Answer:

x = 4

y = 12°

Step-by-step explanation:

Since each angles are equal ,

So each angle is 60°.

=> 5y = 60°

=> y = 60/5°

=> y = 12°

Again all sides will be equal ,

=> 5x - 6 = 3x + 2

=> 5x - 3x = 6+2

=> 2x = 8

=> x = 4

please help me! i dont understand this D:

Answers

Answer:

562.39

Step-by-step explanation:

506.13+451.26=957.39

957.39-395=562.39

can you HELP PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give 50

Answers

The product of 3542 and 8 using the partial product is 28,336

To create a partial product of the value using an array, we will follow the following steps

Draw an array or a box

Break the given integers into values that can be easily worked with. For instance, 3542 can be broken down into (3000+500+40+2)

Take the product as shown below;

[tex]3542\times8=(3000+500+40+2)\times 8\\3542\times8 = 3000(8) + 500(8) + 40(8) +2(8)\\3542\times8=24000+4000+320+16\\3542\times8=28000+336\\3542\times8=28,336[/tex]

Find the array box attached

Learn more on the partial product using array here: https://brainly.com/question/11612565

A cube has volume 1331cm3. Calculate the length of one edge of the cube.

Answers

Answer:

answer=11 cm.

Step-by-step explanation:

Step-by-step explanation:

V = Volume of cube

a = edge

Formula of volume of cube:

V = a³

[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]

The length of each edge is 11 cm.

What is the slope of this graph?

a: 1/3
b: 3
c: -3
d: -1/3​

Answers

Answer:

-3

remember, slope is rise over run. It's negative because the line is declining.

After the temperature rose 6°, the thermometer read 64°F.

What is an equation that can be used to find x, the temperature before the 6° increase.

Drag the number, symbol, or operation sign to each box to complete the equation.

Answers

Answer: 64 - 6 = x

Step-by-step explanation:

Answer:

64-6=x

Step-by-step explanation:

I took the test.

Find 6.3×10−59×10−3
6
.
3
×
10
-
5
9
×
10
-
3
in scientific notation.

Answers

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

each table shows a proportional relatioship. fill in the missing values and determine k.

Answers

Answer:

what table ..............there is no table

Please help me with this homework …

Answers

The answer will be C

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Your first equation y=1/2(1+0.3)^t is going to be growth

Your second equation y=0.3(0.95)^t is going to be decay

Your third equation y=((1+0.03)^1/2)^2t is going to be growth

your fourth equation y=200(0.73)^t is going to be decay

your last equation y=4(1/4)^t is going to be decay

Step-by-step explanation:

You can find this by graphing each of you equations on desmos

Answer:

Step-by-step explanation:

See attachment

Which ordered pair is a solution to
the equation
3x + 9y = 27 ?

Answers

Answer:

x=9-3y

Step-by-step explanation:

- Move the variable to the right & change its sign

3x + 9y = 27

- Divide both sides by 3

3x = 27 - 9y

- Write the solution x in parametric form

x=9-3y

- Solution:

x= 9-3y

What is the cost to make one flag?

Answers

Answer:

$1.75

Step-by-step explanation:

3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline​

Answers

Answer:

wedge

Step-by-step explanation:

. Which angle is included between the sides MN & OM of AMNO​
quick pleaseeee

Answers

Give the figure pls
……………………….

what does it mean to use quotient powers?

Answers

When you are dividing like terms with exponents

When we use the concept of power and a denominator in it, we will describe the root in another form.

What is the definition of potency?

Potency is that which has power, strength, vigor and importance. In mathematics, power is the result of a number multiplied by itself one or more times. .

The base equation of the power is:

[tex]a^b = c[/tex]

Where:

a = base; b = exponent; c = power.

So from the definition of power we have that when a division in the power occurs we will have to be the same thing as writing a root.

See more about power at brainly.com/question/1618040

Given side AB in triangle ABC has length x, what is the length of side AC?

Answers

The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.

Given :

Given side AB in triangle ABC has length x.

The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.

The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:

[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]

Now, put the known values in the above equation.

[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]

[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]

AC = 2x

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/21286835

find the area in hectares of a rectangular farmland 1km by 1/2km​

Answers

Answer:

Solution: Length of the rectangular farmland =1km :Breadth of the rectangular farmland =1/2km

1km= 1000m, 1/2km =500m

Area=Length×Breadth

=1000x500m2=500000m2

=50×10000m2=50 hectares

:)

A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than​

Answers

Considerations based on the wattage of the available appliances are required when designing for the electricity.

The required wattage inequality is; Available wattage > 10,460 Watts

Reasons:

The items used and the possible power consumption obtained from a similar are as follows;

Appliance [tex]{}[/tex]                                      Average power (Watts)

One air conditioner;  [tex]{}[/tex]                     3,500

Washing machine; [tex]{}[/tex]                         500

Clothing dryer;  [tex]{}[/tex]                              5,000

Computers × 2;  [tex]{}[/tex]                             70 × 2 = 140

Light bulbs × 4;  [tex]{}[/tex]                             60 × 4 = 240

Refrigerator;  [tex]{}[/tex]                                  600

Television × 2;  [tex]{}[/tex]                               240 × 2 = 480

The power, P, in watts that might be needed is found as follows;

Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460

The electric power in watts that might be needed, P = 10,460 Watts

Therefore;

The available wattage must be greater than 10,460 Watts

The inequality is; Available wattage > 10,460 Watts

Learn more about electricity design here:

https://brainly.com/question/24786034

Question is in the file below.

Answers

Answer:

I am confused with this ques there two of them gets the same ans

A and B has same value and

C and D has same value

are you supposed to choose two of. them?

however i got C= -40 , D = -40

Let me know if its incorrect :-)

Help please just this whoever answers correctly I will mark brainliest

3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late.

B. Make a table to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.​

Answers

Answer: for question number 3 is 3.50+.15f

Step-by-step explanation:

A jar contains 12 more nickels than quarters. The total value of the quarters equals the total value of the nickels. How many quarters are there?

-----------------
This is the only information I got in the question!

Answers

There are 15 nickels and 3 quarters.

Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)

A jar contains 12 more nickels than quarters.

x = 12 + y  

x - y = 12               (1)

Also the, total value of the quarters equals the total value of the nickels. hence:

0.05x = 0.25y

0.05x - 0.25y = 0     (2)

Therefore x = 15, y = 3

Therefore there are 15 nickels and 3 quarters.

Find out more at: https://brainly.com/question/16763389

There are 3 quarters in the jar.

Let n = number of nickels and n' = number of quarters

Since the jar contains 12 more nickels than quarters, we have

n = n' + 12  (1)

Also, the total value of the quarters equals the total value of the nickels.

Since one nickel = $ 0.05 and 1 quarter = $ 0.25

n × 0.05 = n' × 0.25

0.05n = 0.25n'

Dividing both sides by 0.05, we have

n = 0.25n'/0.05

n = 5n'

Substituting n = 5n' into (1), we have

n = n' + 12

5n' = n' + 12

5n' - n' = 12

4n' = 12

Dividing both sides by 4, we have

n' = 12/4

n' = 3

So, there are 3 quarters in the jar.

Learn more about quarters in a jar here:

https://brainly.com/question/18719612

Which relation is a function?

Answers

Answer:

The bottom right option

Step-by-step explanation:

Functions need each input to map to exactly one output. Graphically speaking, this means that any two points on the function cannot have the same x-coordinate.

Given this, the bottom right option is the only one that fits these circumstances.

Help me
pleaseeee
i need help

Answers

Answer:

A=2, B=28

Step-by-step explanation:

A:6:7

8:24:B

A=8÷4

 =2

B=7×4

 =28

Answer:A=2

B=28

Step-by-step explanation:

Use: 0, 4, 6 11, 9,8, 9, 1, 5 9, 7 to construct a line plot. Describe the line plot to the best of your ability in the box below​

Answers

Answer:

0, 1, 4, 5, 6, 7, 8, 9, 9, 11.

Step-by-step explanation:

Since 11 is the maximum number in the line plot, 0 is the least number, and 7 is the medium number on the line plot.

   

                                                                                               x

           x           x         x         x         x            x          x          x           x                                            

            0          1         4          5          6          7          8          9          11          

Equivalent decimals for 10.045

Answers

Answer:

10.05 , 10,0

Step-by-step explanation:

really sorry if theses aren't the answers your looking 4 !

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