In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC,​

Answer:

The binomial is a factor

Step-by-step explanation:

In order to show that x+3 is a factor of the polynomial, then;

f(a) = 0

Get a by equating x+3 to zero

x+3 = 0

x = -3

Get f(-3)

f(-3) =  (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3

f(-3) = 81 - 216 + 99 + 33 + 3

f(-3) = 216-216

f(-3)  = 0

Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial

Answer:

uhvyfhxesegxt&6&6&#^π¢π¢

Answer:

$42,000

Step-by-step explanation:

280,000*0.15=42,000

Answer:

They would have $42,000 saved.

Step-by-step explanation: You take the money the home is valued at, which is $280,000, and you multiply it by 15%, or 0.15 and you can put this in a calculator for a faster and definite answer. Hope this helps ^-^.

Answer:

First one is 42 and the second one is 48.

Step-by-step explanation:

Start with parentheses. I'll use the first one as an example. 3 x 7 is 21. Now that the parentheses are done, multiply it by whatever's left. 21 x 2, that's 42. For the other one, 2 x 3 is 6, x 7, is 48. Have a good day :)

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

Answer:

Both questions are inaccurate.

Step-by-step explanation:

You cannot have a +- next to each other without a number on the right of it.

Also 2-2=0 not 4.

Answer:

The normal price of mixer is $150.

Step-by-step explanation:

Given that:

Normal prices are reduced by 15% in sale.

The normal price of mixer is reduced by $22.50

It means that it is the amount of discount.

Let,

x be the normal price of the mixer.

15% of x = 22.50

[tex]\frac{15}{100}x=22.50\\0.15x=22.50[/tex]

Dividing both sides by 0.15

[tex]\frac{0.15x}{0.15}=\frac{22.50}{0.15}\\x=150[/tex]

Hence,

The normal price of mixer is $150.

The normal price of the mixer is $150.

Given that,

Based on the above information, the calculation is as follows;

Let us assume the normal price be x

15%x = 22.50

0.15x = 22.50

x = $150

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Answer: 742.68

Step-by-step explanation:

Answer:

Step-by-step explanation:

do 700/20

700/20 = $35 each

hope this helps <3

Answer:

35

Step-by-step explanation:

700/20 = answer

20 tickets: $700

divide by 20 on both sides to get price of one ticket/ unit price

1 ticket: $700/20

1 ticket: 35!

Answer:

c=10

Step-by-step explanation:

First combine like terms by doing 3c-4c to get -1c-5=-15. Then add 5 to both sides to get -1c=-10. Then divide by -1 on both sides to get c = 10

Answer:

a)

c)

...................

Answer:D

Step-by-step explanation:

This is D because your dividing by 5 or each one and thats how you get Your output number

Proportional relationship between x and y is x/y = 5. Only table D shows a proportional relationship between x and y.

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in other expression as well. Generally it is represented as x/y = k, where x and y are two expressions and k is constant.

In order to solve this problem, first we’ll have to figure out the proportionality ratio between the x and y.

that is x/y = k (let), it should be constant.

In the table A;

first term, 3/4 = 0.75

second term, 10/6 = 1.667

Since the value of constant is not the same. Therefore the table A does not show the proportional relationship between x and y.

In the table B;

first term, 4/2 = 2

second term, 8/4 = 2

third term, 12/8 = 1.5

Since the value of constant is not the same. Therefore the table B does not show the proportional relationship between x and y.

In the table C;

first term, 12/6 = 2

second term, 14/12 = 1.667

Since the value of constant is not the same. Therefore the table B does not show the proportional relationship between x and y.

In the table D;

first term, 5/1 = 5

second term, 10/2 = 5

third term, 15/3 = 5

Since the value of constant is the same in every term. Therefore the table B shows the proportional relationship between x and y.

Therefore, proportional relationship between x and y is x/y = 5. Only table D shows a proportional relationship between x and y.

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Answer:V(t) = C·(0.5)t

Step-by-step explanation:

V(t) = computer's value at year t = 600

C = initial cost = 2100

t = years

Answer: -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Basically 90 precent of 100 is 90

Answer:

- 11 i think

Step-by-step explanation:

Im not aure but let ssee if someone will help

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

[tex]2\sqrt{x-5}[/tex]

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

[tex]\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}[/tex]

Hence, option A is true.

The domain of the function y = 2√(x - 5) will be x greater-than-or-equal-to 5. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

y = 2√(x - 5)

Then the domain of the function will be

We know that the value inside the square root should be greater than or equal to zero. Then the domain will be

x - 5 ≥ 0

Simplify the inequality, then the domain of the function will be

x - 5 ≥ 0

x ≥ 5

The domain of the function y = 2√(x - 5) will be x greater-than-or-equal-to 5.

Then the correct option is C.

More about the domain and range link is given below.

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Answer:

it's answer is y = + √x - 1 Yes

Step-by-step explanation:

Hope it will help :)❤

Answer:

See description.

Step-by-step explanation:

The first way you could use 60/5 is you could say the 60 students need to be divided into 5 buses. The second way you could use 60/5 is you could do 60 students divided into five groups of areas.

The answer is 18 with a remainder of 0.

Answer:

= 18 R 0

= 18

Step-by-step explanation:

YAY SO MANY POINTS

The answer is x = 5.

You want me to examine Jack's answer to the equation X + 5 = 10, I take it.

I can outline the broad procedures to solve this problem without knowing Jack's answer:

Add 5 to both sides of the equation to equal 10 and 5: X + 5 - 5 = 10 - 5.

Condense: X = 5.

As a result, X = 5 is the answer to the equation X + 5 = 10.

If you give me Jack's answer, I can assist you determine whether it is accurate or if there are any mistakes.

Therefore, the value of x is 5.

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Step-by-step explanation:

1. The best way to solve this one would be elimination

  Both the equations have the same term, 5y

  Since neither variable is isolated, it wouldn't be easy to use the method of substitution

2. Both the equations only have x or y

   SInce neither of the equations has both the variables, substitution is impossible

3. Same as 1, just that you would need to multiple one of the equations by a certain number to create equal terms to make elimination possible

4. It's perfect!!! The y is isolated and it would be simple to just substitute the first equation into the 2nd (I hope you got what I meant)

4, is the correct answer

I hope this helps!!!

Answer:

4. y=2/3x+5

2x - 6y= -42

Step-by-step explanation:

Answer:

Step-by-step explanation:

in 1rupee, (105/35) envelope can be purchased

then

in 10 rupees, (105*10)/35  envelopes can be purchased

in 10 rupees, 30 envelopes can be purchased

i hope this will help you

Answer:

1.E

2.H

3.F

4.D

5.A

6.G

7.B

8.C

Step-by-step explanation:

Answer: g(x) = 2*x

Step-by-step explanation:

We want to find the formula of g(x) if we know that g(x - 3) = 2*x - 6

Well, the first step is to find the expression (x - 3) = y in the g(x - 3)

Then:

g(x - 3) = 2*x - 6 = 2*x - 2*3

Now we can just take the common factor 2, and write this as:

2*x -2*3 = 2*(x - 3) = 2*y

then:

g( x - 3) = g(y) = 2*y

if we just replace x by y, we get:

g(x) = 2*x

This is the formula of g(x)

The answer is 6800 = 80m

Answer:

2, 1/2

Step-by-step explanation:

Arithmetic mean of two numbers is given as

[tex]n=\frac{a+b}{2}[/tex]

Here a=x and b=1/x

[tex]n=\frac{x+1/x}{2}[/tex]

[tex]\frac{5}{4} =\frac{x^{2}+1}{2x}[/tex]

[tex]\frac{5}{2}x=x^{2} +1\\ x^{2}-\frac{5}{2}x+1=0[/tex]

[tex]x=2, \frac{1}{2}[/tex]

Hence the numbers are 1/2 and 2.

If x is any real number, then the reciprocal of this number will be 1/x. For example, the reciprocal of 5 is 1 divided by 8, i.e. 1/5.

Given, one number is reciprocal to another.

So if we choose the first number to be x , the the other number becomes its reciprocal i.e. 1/x.

Now, it is given that the arithmetic mean of these two numbers is 5/4.

So using formula for arithmetic mean ,

Mean = Sum of Observations / No. of observations

[tex]\frac{5}{4} =\frac{x+\frac{1}{x}}{2} \\\frac{5*2}{4}= \frac{x^{2} +1}{x} \\\frac{5}{2} =\frac{x^{2}+1}{x} \\[/tex]

On cross Multiplication and Factorization, we get:

[tex]5x=2x^{2}+2\\2x^{2} -5x+2=0\\2x^{2} -4x-x+2=0\\2x(x-2)-1(x-2)=0\\(2x-1)(x-2)=0\\2x-1=0 , x=1/2\\x-2=0 , x=2[/tex]

So , when x=1/2 , then 1/x=2

and when x=1/2 , then x=2

Hence,  the numbers are 2 and 1/2 .

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