Find the area of triangles having sides 3cm,4cm,5cm respective.

Answer:

6 cm

Step-by-step explanation:

6 cm×6cm×6cm=216 cm³

Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x  + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

It will take 3 months for both company's fees be the same

Let

y = total charges

x = number of months

Verizon:

y = 40 + 60x

T-Mobile:

y = 100 + 40x

Number of months it will take both companies to charge the same fee

Equate the total charges of both companies

40 + 60x = 100 + 40x

40 - 100 = 40x - 60x

-60 = - 20x

x = -60 / -20

x = 3 months

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Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.

The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.

According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:

–10 ≤ x ≤ 10

Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.

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9514 1404 393

Answer:

  A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

  A = πr²

  A = 3.14(5 cm)² = 78.5 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(10 cm)(5 cm) = 25 cm²

The shaded area is the difference between the circle area and the triangle area:

  shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

Additional comment

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

Answer:

A.) 53.5 cm2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

x = 0 and 3 other real roots. See below.

Step-by-step explanation:

This is what you wrote:

[tex] 3x + \dfrac{1}{x^2} - 1 = \dfrac{2}{x} - 2 + \dfrac{x}{x} - 1 [/tex]

I don't think that is what you meant to write.

I think you meant to write this:

[tex] 3x + \dfrac{1}{x^2 - 1} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

I'm going to answer the second equation because that is what I think you meant.

[tex] 3x + \dfrac{1}{(x - 1)(x + 1)} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

[tex] 3x(x - 1)(x + 1)(x - 2) + (x - 2) = 2(x - 1)(x + 1) + x(x + 1)(x - 2) [/tex]

[tex] (3x^2 - 6x)(x^2 - 1) + x - 2 = 2x^2 - 2 + x(x^2 - x - 2) [/tex]

[tex] 3x^4 - 3x^2 - 6x^3 + 6x + x - 2 = 2x^2 - 2 + x^3 - x^2 - 2x [/tex]

[tex] 3x^4 - 7x^3 - 4x^2 + 9x = 0 [/tex]

[tex] x(3x^3 - 7x^2 - 4x + 9) = 0 [/tex]

[tex] f(x) = 3x^3 - 7x^2 - 4x + 9 [/tex]

[tex] f(-3) = -123 [/tex]

[tex] f(-2) = -35 [/tex]

[tex] f(-1) = 3 [/tex]

[tex] f(0) = 9 [/tex]

[tex] f(1) = 1 [/tex]

[tex] f(2) = -3 [/tex]

[tex] f(3) = 15 [/tex]

One root is x = 0.

There is a root between x = -2 and x = -1.

There is a root between x = 1 and x = 2.

There is a root between x = 2 and x = 3.

Plot the graph of f(x) = 3x^3 - 7x^2 - 4x + 9 and try to read the other three roots.

Answer:

6 inches by 6 inches

Step-by-step explanation:

Area of the square = 256 inches ²

Given equation:

(x + 10)² = 256

Where,

x = side measure of the original square

(x + 10)² = 256

(x + 10)(x + 10) = 256

x² + 10x + 10x + 100 = 256

x² + 20x + 100 = 256

x² + 20x + 100 - 256 = 0

x² + 20x - 156 = 0

Solve the quadratic equation by factorization

Find two numbers whose product is -156 and sum is 20

The numbers are -26 and 6

x² + 26x - 6x - 156 = 0

x(x + 26) - 6(x + 26) = 0

(x + 26) (x - 6) = 0

x + 26 = 0 or x - 6 = 0

x = -26 or x = 6

Side length of a square can not be negative

Therefore,

x = 6 inches

6 inches by 6 inches

If both are similar ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]

Answer:

[tex]{ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}[/tex]

Answer:

D

Step-by-step explanation:

A polynomial is in standard equation when the degree of the polynomial are in descending order.

Answer:

(a)x(a^2+2a-3)+5(a^2+2a-3)

Answer: Slope = c / a + b

Concept:

Here, we need to know the idea of a slope.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

STEP ONE: Identify the points

A (0, 0)

C (a + b, c)

STEP TWO: Apply the formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (c - 0) / (a + b - 0)

Slope = c / a + b

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x is 3

Step-by-step explanation:

[tex]{ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}[/tex]

[tex]{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}[/tex]

Answer:

value of x is 6

Step-by-step explanation:

got it right on edgenuit

Answer:

Isaac = x

Step-by-step explanation:

Erika is 3y older than Isaac

Isaac is x years old

Answer:  x+3

Work Shown:

x = Issac's age right now

x+7 = Erika's age right now

(x+7)-4 = x+3 = Erika's age four years ago

Answer:

if f(x) = ax + b then f-1(x) = (x - b)/a

Step-by-step explanation:

Now

f(x)=ax + b

then y = ax + b

interchanging x and y , we get

or, x = ay + b

or, x - b = ay

or, (x - b)/a = y

therefore,f-1(x) = (x - b)/a

Answer: -4 is slope

Step-by-step explanation:

formula is y2-y1/ x2-x1

8-4=4

6-7=-1

4/-1= -4

Answer:

j' = (1,-2)   k'=(3,-1) L' = (3,-3)

Step-by-step explanation:

I think that you just multiply all the x,y values for the three points by 1/5?

5 1

-10 -2

j' = (1,-2)

~~~~~~~~~~~~~~~~~~  

15 3

-5 -1

k'=(3,-1)

~~~~~~~~~~~~~~~

15 3

-15 -3

l' = (3,-3)

Answer:

2 remaining slices

Step-by-step explanation:

It sounds complicated so firstly, let's break it down.

Ron and two of his friends

There are three people involved in this question.

ate one fourth each

These three people ate one fourth of the pizza each

of an eight slice pizza.

From a pizza with eight slices

Find remaining slice of the pizza ​

The main question : remaining slice of the pizza

So since there were three people and they ate one fourth of the pizza

( One fourth's [tex]\frac{1}{4}[/tex] by the way )

We need to find out how much have they ate.

Simply multiply 3 with [tex]\frac{1}{4}[/tex] .

3 × [tex]\frac{1}{4}[/tex] = [tex]\frac{12}{4}[/tex] × [tex]\frac{1}{4}[/tex]

= [tex]\frac{3}{4}[/tex]

And there you go! Ron and his friends ate [tex]\frac{3}{4}[/tex] of the pizza.

But that's not the end.

The main question : Remaining slice of the pizza

It's an eight slice pizza, so a slice would be : [tex]\frac{1}{8}[/tex]

A full eight slice pizza would be one.

So, to find the remaining slice of pizza, simply subtract [tex]\frac{3}{4}[/tex] from 1.

1 -  [tex]\frac{3}{4}[/tex] =  [tex]\frac{4}{4}[/tex] -  [tex]\frac{3}{4}[/tex]

= [tex]\frac{1}{4}[/tex]

Now there's a remainding of [tex]\frac{1}{4}[/tex] of the pizza.

But the question asked for remaining slices.

So, simply convert the denominator into 8!

( Just in case you don't know what's a denominator )

[tex]\frac{numerator}{denominator}[/tex]

So, simply multiply the denominator by 2 to turn 4 into 8!

And also, whenever the denominator is multiplied/ divided by any number, so do the numerator.

[tex]\frac{1 times 2}{4 times 2}[/tex] = [tex]\frac{2}{8}[/tex]

Your answer's the numerator, 2!

So your final answer should be 2 remaining slices out of the eight sliced pizza.

Answer:

36% of the muffins sold were carrot.

Step-by-step explanation:

How many carrot muffins we have? 9

How many muffins we have in total? 25

So, 9/25. Convert 9/25 to percentage.

9/25 = 0.36

0.36×100

=36%

Answer:

36%

Step-by-step explanation:

Hello! I hope you are having a great day!! I am happy to help you with this problem.

We know that in total there were 25 muffins sold (you can count them) and 9 of which were carrot. This means that 9/25 of the muffins were carrot. Now we must turn 9/25 into a percentage.

9/25 * 100 = 0.36. 0.36 * 100 = 36%

And thats your answer!!

Answer:

rational is the answer....

Answer:

8/21

Step-by-step explanation:

just multiply the numerator and denominator

Answer:

Y =  -1/2X +4

Step-by-step explanation:

x1 y1  x2 y2

2 3  0 4

(Y2-Y1) (4)-(3)=   1  ΔY 1

(X2-X1) (0)-(2)=    -2  ΔX -2

slope= -  1/2    

B= 4          

Y =-0.5X +4    

Answer:

A.) is my best guess

Step-by-step explanation:

Answer:

3166.7

Step-by-step explanation:

Volume=pi*r^2*h

=pi*12^2*7=3166.7

Answer:

3166.7

Step-by-step explanation:

Volume of a cylinder= pi × radius² × height

3.14 × 12² ×7 = 3166.7

Answer:

here's the answer to your question

Answer: y = 4/3x + 2

Step-by-step explanation:

Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.

If you take the first coordinate (3,6): 6 = 3(4/3) + b

                                                                6 = 4 + b

                                                                    b = 2

If you take the second coordinate (6, 10) : 10 = 6(4/3) + b

                                                                         10 = 8 + b

                                                                              b = 2

Then, substitute m and b into the equation (y = mx + b) to get your answer.

Step-by-step explanation:

[tex] {y}^{2} - \frac{1}{ {y}^{3} } [/tex]

factorise out y² ;

[tex] = {y}^{2} (1 - \frac{1}{y} ) \\ \\ = 8 {y}^{2} [/tex]

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

Answer:

4/3

Step-by-step explanation:

Answer:

Step-by-step explanation: