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

Work out the value of a and b.

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

Answer:

-3

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

Answer:

562.39

Step-by-step explanation:

506.13+451.26=957.39

957.39-395=562.39

Answer:

10.05 , 10,0

Step-by-step explanation:

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

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

Answer:

$1.75

Step-by-step explanation:

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

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.

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 :-)

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                              

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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

Answer: 64 - 6 = x

Step-by-step explanation:

Answer:

64-6=x

Step-by-step explanation:

I took the test.

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

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

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          

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.

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:

Answer:

2

Step-by-step explanation:

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

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

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

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Answer:

wedge

Step-by-step explanation:

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).

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Answer:

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

Area=Length×Breadth

=1000x500m2=500000m2

=50×10000m2=50 hectares

Answer:

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

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.

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

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:

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

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

[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

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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

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

Step-by-step explanation:

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.

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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.

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