identify the graph of the equation and find (h k). x^2-2x-y^2-2y-36=0

Answer:

36.87°

Step-by-step explanation:

With reference angle C

perpendicular (p) = 27

base(b) = 36

Now

Tan C = p/b

Tan C = 27/36

C = tan ^-1( 27/36)

= 36.87°

Hope it helps

:)

Answer:

36.87

Step-by-step explanation:

Answer:

Equation;

(3/4)x = 2/3

Solving;

x = 8/9

she would need 8/9 of her sugar to make a full batch.

Step-by-step explanation:

Let x represent the amount of sugar that would be needed to make the whole batch.

Given that;

Pia used 2/3 of her sugar to make 3/4 of a batch of cookies.

Since 2/3 of her sugar is needed to make 3/4 of a batch of cookies, then;

(3/4)x = 2/3

Solving the equation, dividing both sides by 3/4;

(3/4)x ÷ 3/4 = 2/3 ÷ 3/4

x = 2/3 × 4/3

x = 8/9

Therefore she would need 8/9 of her sugar to make a full batch.

Answer:

3.06

Step-by-step explanation:

[tex]\log_{5}(\dfrac{2}{3}x-2)+2=0\\\\\log_{5}(\dfrac{2}{3}x-2)=-2\\\\[/tex]

This means that 5 to the power of -2 is [tex](\dfrac{2}{3}x-2)[/tex], meaning that:

[tex]\dfrac{2}{3}x-2=5^{-2}=\dfrac{1}{25} \\\\\dfrac{2}{3}x=\dfrac{51}{25} \\\\2x=\dfrac{153}{25} \\\\x=\dfrac{153}{50}=3.06[/tex]

Hope this helps!

Answer:

1,5

Step-by-step explanation:

1,5 is located within the shaded region.

Answer:

6

Step-by-step explanation:

The measure of the missing side of the given parallelogram with an area of 30 unit² will be 6 units.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

The area of a parallelogram is given as (1/2) × (sum of parallel sides) × (distance between parallel sides).

Area = (1/2) × (5 + 5) × h

30 = 10h/2

5h = 30

h = 6 units.

Hence "The measure of the missing side of the given parallelogram with an area of 30 unit² will be 6 units".

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Given the question missing the figure attached below,

Answer:

[tex](x-2)^2+(y-8)^2=121[/tex]

Step-by-step explanation:

This is because if you can see that the, x is being subtracted by 2, making the x-coordinate +2. and the y is being subtracted by 8, making the y coordinate +8.

(2, 8) = Coordinates

And the reason it has a radius of 11 is because the 121 on the other is the product of 11 times 11.

Answer:

l=5.12 & w=2.62

Step by step explanation:

A=l×w

13.42=lw

w=13.42/l

[tex]p = 2(l + w) \\ 16.6 = 2(l + \frac{13.42}{l} ) \\ 16.6 = 2( \frac{ {l}^{2} + 13.42}{l}) \\ 16.6 = 2(l + 13.42) \\ 16.6 = 2l + 26.84 \\ 2l = 26.84 - 16.6 \\ 2l = 10.24 \\ l = \frac{10.24}{2} \\ l = 5.12km[/tex]

Since you have found the value of the length you can find the value.of the width.

[tex]w = \frac{13.42}{l} \\ w = \frac{13.42}{5.12} \\ w = 2.62km[/tex]

Answer:

Option A shows the image of RST after the rotation

Step-by-step explanation:

Coordinates of S=(1,3)

Coordinates of R = (-2,1)

Coordinates of T = (-1,7)

We are given that after rotation(x,y)→(y,-x)

So, The new coordinates after rotation will be :

Coordinates of S'=(3,-1)

Coordinates of R'= (1,2)

Coordinates of T'= (7,1)

These are the coordinates of triangle of Option A

So, Option A is true .

Hence Option A shows the image of RST after the rotation

A. shows the image of RST after the rotation.

In the geometry, an equilateral triangle is the triangle in which have all 3 sides have same length. an equilateral triangle is also equiangular; that is, all 3 internal angles are also congruent to each other and are each 60 degrees It is also a regular polygon, so it is also referred to as the regular triangle.

Which plane does the triangle RST belong to?

The XY-coordinate plane or triangle RST are equilateral. Points R or In the x y -coordinate plane, triangle R S T is equilateral. Points R and T had coordinates ( 0, 2) and ( 1, 0), respectively.

Coordinates of S=(1,3)

Coordinates of R = (-2,1)

Coordinates of T = (-1,7)

We are given that after rotation(x,y)→(y, -x)

So, The new coordinates after the rotation will be :

Coordinates of S'=(3,-1)

Coordinates of R'= (1,2)

Coordinates of T'= (7,1)

These are the coordinates of the triangle of Option A

So, Option A is true.

Hence Option A shows the image of RST after the rotation.

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Answer: 1600

Step-by-step explanation:

2(8+2x6)

2(8+12)

2(20)

40

[tex]40^{2}[/tex]

1600

Mark me as the brainiest answer.

Answer:

Step-by-step explanation:

4) (-2,3)   ;  (-1,-2)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5[/tex]

5) line is parallel to x-axis. So, slope= 0

6) (1,1) ;  (-2, -1)

[tex]Slope=\frac{-1-1}{-2-1}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}[/tex]

Answer:

47.8

_____

1

Step-by-step explanation:

Answer:

she got it by breaking up the problem step by step  for

Step-by-step explanation:

she has done this putting the form like so

10 - 478

I hope this

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, dimensions of both the matrices are different. Hence we can't add them.

Answer:

It'd be $4,700

Step-by-step explanation:$500 + $2,400 + $1,800 = $4,700. Minus that amount from her savings account total and that's how much money she has left.

Answer: [tex]y=-\frac{3}{4} x+3.5[/tex] or [tex]y=-\frac{3}{4}x+\frac{7}{2}[/tex]

Step-by-step explanation:

A parallel line has the same slope and different y-intercepts.

Let's change our equation to slope-intercept.

[tex]3x+4y=12[/tex]

[tex]4y=12-3x[/tex]

[tex]y=\frac{12-3x}{4} =3-\frac{3}{4}x[/tex]

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

Now that we know our slope is -3/4, we know the equation will have -3/4 as the slope. Let's leave b blank so that we can find the y-intercept of the parallel line.

[tex]5=-\frac{3}{4}(-2)+b[/tex]

[tex]5=\frac{3}{2} +b[/tex]

[tex]3.5=b[/tex]

Our parallel equation is [tex]y=-\frac{3}{4}x+3.5[/tex] or [tex]y=-\frac{3}{4} x+\frac{7}{2}[/tex]

Answer:

4 cm and 2cm

Step-by-step explanation:

Volume of the rectangular prism is 10.5 cm³.

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

Given three dimensions of a rectangular prism as given below in the image.

Length = 3 cm

Width = 7/4 cm

Height = 2 cm

Volume of a rectangular prism = Length × Width × Height

                                                   = 3 × 7/4 × 2

                                                   = 3 × 7/2

                                                   = 10.5 cm³

Hence the volume of the rectangular prism is 10.5 cm³.

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Answer:

[tex]42.7\,\,cubic\,\, meters[/tex]

Step-by-step explanation:

Given: Perimeter of base of a pyramid = 12.8 m

Height of the pyramid = 12.5 m

To find: volume of a pyramid

Solution:

Perimeter of base of a pyramid = 12.8 m

As base of the pyramid is a square,

12.8 = [tex]4(side\,\,of\,\,a\,\,square)[/tex]

side of a square = [tex]\frac{12.8}{4}=3.2\,\,m[/tex]

Area of a square (A) = [tex](side\,\,of\,\,a\,\,square)^2=(3.2)^2=10.24\,\,m^2[/tex]

Height of the pyramid (h) = 12.5 m

Volume of the pyramid = [tex]\frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters[/tex]

Answer:125.66cm

Step-by-step explanation:

Circumference formula is C=2pi (r)

So C=2(pi or 3.14) (20)

Just plug the 20 (radius for the r) and you have the answer.

Answer:

2291

Step-by-step explanation:

Given: Radius of a city's town hall is equal to 5-mile and about 180,000 people live in a city's town hall

To find: population density per square mile

Solution:

Population density refers to the number of people per unit of area.

Let r denotes radius of the town hall = 5 miles

Area of the town hall = [tex]\pi r^2=\pi (5)^2=25\,\pi[/tex] square miles

Population density per square mile = Population of a city's town hall/area of the town hall = 2290.9 [tex]\approx 2291[/tex]

Answer:

2

Step-by-step explanation:

You are trying to find (f' o f)(2).  This means that you need to put f(x) into f'(x) and solve for 2.

First, find f'(x).  To do this, take the original function and switch the x and y values.

y = 2x⁵ + 12

x = 2y⁵ + 12

x - 12 = 2y⁵

(x - 12)/(2) = y⁵

y = ⁵√(x - 12)/(2)

Now, you need to put f(x) into the inverse function through the x-value.  Simplify completely.

y = ⁵√((2x⁵ + 12) - 12)/(2)

y = ⁵√((2x⁵)/(2)

y = ⁵√x⁵

y = x

Now plug in the value given to you.

(f⁻¹ o f)(2) = 2

The answer is 2.

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1        a1=2

a18=3(18)-1   a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)  

Sn=18/2(2+53)  Solve for sn= 495

Answer:

b .  

Area=(x-5) (x-3)

Area =  x^2 -8x+15

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Area of a rectangle = width x length

The original length and width was x, so if the stage needs to be 5 feet narrower and 3 feet shorter.

x-5

x-5

The formula is:

A=(x-5) (x-3)

Solving:

A = (x.x) + (x.-3) + (-5.x)+ (-5.-3)

A = x^2 -3x -5x+15

A = x^2 -8x+15

Answer:

6.76 in

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle  formed at the intersection between the adjacent side and the hypotenuse , and the opposite side is x :

Replacing with the values given:  

Sin 25 = x/ 16  

Solving for x  

sin25 (16) =x  

x= 6.76 in

Feel free to ask for more if needed or if you did not understand something.  

Answer:

1/5 =  0.2

0.3 = 1/3

1/2 = 0.5

Answer:

1/5 =0.2

3/10 = 0.3

1/2 =0.5

Answer:

15$

Step-by-step explanation:

cost of 1 cookie = 10/6

cost of 9 cookies = 9* 10/6 = $15

Answer:

15 dollars

Step-by-step explanation:

6 cookies for 10 dollars

3 cookies for 5 dollars.

6+3 cookies for 10+5 dollars

Answer: C outside of the circle

Step-by-step explanation:

The answer is c because

point 4, -1 falls outside of the

circle.

Hope this helps :)

Answer:

Its on the circle

Step-by-step explanation:

Answer:

None are equivalent

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Let's find (f-g)(x)

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

Now let's plug in x=2, so to find (f-g)(2)

[tex]3(2)^{2} + 2\\12 + 2 = 14[/tex]

Answer:

42 feet.

Step-by-step explanation:

h=-10t² + 40t +2

The vertex of the quadratic function described by the equation is located at

 t = -(40)/(2(-10)) = 2

Next is to find the value of height at t=2 will be

 h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet

The maximum height is 42 feet.

Answer:

Option D

Step-by-step explanation:

According to the image description provided:

Term one starts with one dot. One is an odd number.

If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.

For example:

[tex]3+2 =5[/tex]

Three is an odd number. If you add two to it, you would get five, which is another odd number.

Term two has 3 dots, term three has 5 dots, term four has 7 dots.

So, all terms should be odd.

Option D should be the correct answer.