Help me fot this ex.1

Answer:

b  is the correct answer

Answer:

√33

Step-by-step explanation:

In the image .

The expression (6 + √3) (6 - √3) / √33 upon  rationalizing the denominator gives √33.

Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.

The given expression is (6 + √3) (6 - √3) / √33

We have the identity,

(a + b) (a - b) = a² - b²

∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33

                                     = (36 - 3) / √33

                                     = 33 /√33

Multiplying numerator and denominator by √33,

(6 + √3) (6 - √3) / 33 = (33 × √33)  / (√33 × √33)

                                   = 33√33 / 33

                                   = √33

Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.

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Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

Add the ratios together: 5 + 3 = 8

Divide total students by 8:

32 / 8 = 4

Multiply each ratio by 4 to find the number of each:

Boys = 4 x 5 = 20

Girls = 3 x 4 = 12

There are 20 boys.

Rope = 225 cm

Needed rope = 11/2m = (11/2) × 100 cm = 550cm

So, rope needed to be cut

= 550cm - 225cm

= 225cm

=225/100m

=2.25 m

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = [tex]\dfrac{1}{3}x+60[/tex]

We know that,

[tex]Perimeter = 2( length + width)[/tex]

[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]

[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]

[tex]920 =\dfrac{8}{3}x+120[/tex]

Subtract both sides by 120.

[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]

[tex]800 =\dfrac{8}{3}x[/tex]

Multiply both sides by 3.

[tex]2400 =8x[/tex]

Divide both sides by 8.

[tex]300 =x[/tex]

Now,

[tex]Length = 300\text{ feet}[/tex]

[tex]Width=\dfrac{1}{3}(300)+60[/tex]

[tex]Width=100+60[/tex]

[tex]Width=160\text{ feet}[/tex]

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.

Answer:

Option D

Step-by-step explanation:

8 ÷ 0 = Undefined

Answer:

D

Step-by-step explanation:

Area of a circle is pi x r^2

R is the radius which is have the diameter: r = 10/2 = 5

Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.

A semi circle is half a full circle

Area of the semi circle = 78.5/2 = 39.25 square units.

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -2, f(a) = 0 [/tex]

[tex] b = 0, f(b) = 4 [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 0}{0 -(-2)} [/tex]

[tex] = \frac{4}{2} = 2 [/tex]

Average rate of change from x = -2 to x = 0 is 2.

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

Answer:

[tex]x = \frac{18}{7} [/tex]

Answer: a + b = 40

[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]

because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]

=> a = 51

    b = -11

=> a + b = 51 -11 =40

Step-by-step explanation:

Answer:

[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]

a = 51

b= -11

Answer:

Step-by-step explanation:

True!!

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

Answer:

Zero

Step-by-step explanation:

it is to correct answer because I did this before and one of my classes also subscribe to my channel bye

Answer:

W=5 w=8

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

because Mariana drank 2 pints a day 8 pints are in a gallon so 8 ÷ 2 = 4

Answer:

0.094

Step-by-step explanation:

I hope this helps!

Answer:

Maybe 99£

Step-by-step explanation:

Please give me brainliest

Answer:

i think 99 because theres no number after the symbol

Step-by-step explanation:

Answer:

(8,0)

Step-by-step explanation:

Answer:

y=-3x+6

Step-by-step explanation:

Answer:

y = -3x + 6

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

SO

m = -3

b = 6

Thus,

y = -3x + 6

Answer:

C' (4,-6)

Step-by-step explanation:

Any point being reflected over the x-axis will undergo the following transformation:

(x, y) --> (x, -y)

(4, 6) --> (4, -6)

The coordinates of C',

C(4,6) → C'(4, -6).

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).

If it is reflected over the x-axis,

The reflection rule:

(x, y) → (x, -y)

The coordinates of C',

C(4,6) → C'(4, -6).

Therefore, the image point of C is C'(4, -6).

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Answer:

addition, subtraction, division, multiply

Answer:

The length and width of the rectangular garden are 20 feet and 10 feet.

Step-by-step explanation:

Given that the length of fencing = 60 feet

The area of the garden = 200 sq. feet.

As the length of the fencing is equal to the perimeter of the garden, so the perimeter of the rectangular garden is 60 feet.

Let l and b be the length and width of the rectangular garden.

So, the perimeter of the garden = 2(l+b)=60

[tex]\Rightarrow l+b=60/2=30[/tex]

[tex]\Rightarrow l=30-b\cdots(i)[/tex]

The area of the rectangular garden [tex]= l\times b=200[/tex]

[tex]\Rightarrow (30-b)b=200[/tex] [from equation (i)]

[tex]\Rightarrow 30b-b^2=200[/tex]

[tex]\Rightarrow b^2-30b+200=0[/tex]

[tex]\Rightarrow b^2-10b-20b+200=0[/tex]

[tex]\Rightarrow b(b-10)-20(b-10)=0[/tex]

[tex]\Rightarrow (b-20)(b-10)=0[/tex]

[tex]\Rightarrow b-20=0 \;or\; b-10=0[/tex]

[tex]\Rightarrow b= 20\;or\; 10[/tex]

Now, from equation (i),

If b=20 than l= 30-20=10

or if b=10 than l=30-10=20.

Hence, the length and width of the rectangular garden are 20 feet and 10 feet.

Answer:

(1, 7) (2, 10) (3, 5) (4, 7) (5, 9) hope that helps

Answer:

Step-by-step explanation:

Jim will save $14.20

To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form

Comes to .20.

The end result is $14.20.

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

Two linear equation has their solutions on the points where they intersect each other.

The solution of the given system of equations is:

x = 2, y = 3.

Each linear equation represents a straight line.

If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.

If both the given lines are parallel, then there is no intersection and thus no solution.

If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.

[tex]y = 3x-3\\ x+y = 5 [/tex]

Substituting the value of y from first equation in the second equation, we get:

[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]

Thus, putting this value of x in first equation, we get:

[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]

Thus, the system has one solution and it is x = 2, y = 3.

Using graphing, we can see that point of intersection is (x,y) = (2,3)

Learn more about solutions of system of linear equations:

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Answer:

1/3 or 0.3

Step-by-step explanation:

5/8 x 4/5 x 2/3 =

1/3 or 0.3

Answer:

1/3 in^3

Step-by-step explanation:

In order to find the volume, you must multiply the length, by the width, by the height. This would mean you need to do 2/3x5/8x4/5=40/120

40/120 simplified will give you 1/3

thank you.............................

Answer:

130 papers.

Step-by-step explanation:

1 min per paper therefore 130 mins = 130 papers

:)

Answer:

y=2x-1

Step-by-step explanation:

y-9=2x-10

y=2x -10+9

y=2x-1