The equation of a circle is . Find the center and the radius of the circle. Then graph the circle.

Answer:

Step-by-step explanation:

1. 8x + 6

2(4x+3)

2.4x+2

2(2x +1)

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

1. [tex]\boxed{Factorise \ = \ 8x + 6}[/tex]

⎆To factorise this, you have to take the common factor out. In this case, it's 2.

[tex]8x + 6 \\ = 2(4x + 3)[/tex]

[tex]\boxed{Answer \ = \ 2(4x + 3)}[/tex]

2) [tex]\boxed{Factorise \ = \ 4x + 2}[/tex]

⎆To factorise this, you have to take the common factor out. In this case also, it's 2.

[tex]4x + 2 \\ = 2(2x + 1)[/tex]

[tex]\boxed{Answer \ = \ 2(2x + 1)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

ღ [tex]RainbowSalt2^{2}2^{2} [/tex]

Answer:

y= 1/2x-3

Step-by-step explanation:

2y - x = 8

First find the slope

2y = x+8

Divide by 2

2y/2 = x/2 +8/2

y = 1/2 x +4

The slope is 1/2  ( y=mx+b where m is the slope and b is the y intercept)

When lines are parallel they have the same slope)

Using y = mx+b

y =1/2x+b

Substituting the point (4,-1) into the equation

-1 =1/2(4)+b

-1 = 2+b

-3 =b

The equation of the line is

y= 1/2x-3

Answer:

[tex]\text{B. }\frac{1}{3}x-3=-x+1[/tex]

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] (doesn't matter which you assign) and use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)[/tex]

The slope is equal to:

[tex]m=\frac{0-1}{1-0}=\frac{-1}{1}=-1[/tex]

Therefore, the slope of this line is -1. In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents slope, so one of the lines must have a term with [tex]-x[/tex] in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

[tex](x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)[/tex]

Using the slope formula:

[tex]m=\frac{-2-(-3)}{3-0}=\frac{1}{3}[/tex]

Thus, the slope of the line is 1/3 and the other line must have a term with [tex]\frac{1}{3}x[/tex] in it, eliminating answer choice C and leaving the answer [tex]\boxed{\text{B. }\frac{1}{3}x-3=-x+1}[/tex]

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into [tex]y=mx+b[/tex]

Answer:

i believe the answer is B

Step-by-step explanation:

hope this helps

Answer:

option D

Step-by-step explanation:

Clearly from the graph we say that at x = 4 and  x = -6, f(x) = 0

Now we will check this with your options.

A) f(x) = (x + 1 )² - 5

     at x = 4, f(x) = 25 - 5 = 20 ≠ 0 ; not A

B)  f(x) = x - 5

    at x = 4, f(x) = 4 - 5 = 1 ≠ 0 ; not  B

C) f(x) = (x + 1 )³ - 5

     at x = 4 , f(x) = 125 - 5 = 120 ≠ 0 ; not C

D) f(x) = | x + 1 | - 5

    at x = 4 , f(x) = | 4 + 1 | - 5

                        = 5 - 5 = 0    ; satisfies

    at x = -6 , f(x) = | - 6 + 1 | - 5

                         = | - 5 | - 5

                         = 5 - 5 = 0  ; D satisfies  [ | - a | =a , absolute value function ]

Answer:

I believe it is A) 60.25

Step-by-step explanation:

If it is not correct, let me know.

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

Answer:

729 x [tex]\frac{1}{3}[/tex]^x

Step-by-step explanation:

the third option

- trial and error

Answer:

a). -65

b). -61

c). -20ab + 3bc +3ac

Step-by-step explanation:

According To the Question,

a). the sum of 72 − 104 + 5 and -32 + 4 - 10 .

b). What should be added to 32 + 32 + 3 to get 3 + 3 , Let X be Added .

c). Subtract  the sum of 12ab –10bc –18ac and 9ab + 12bc + 14ac from the sum of ab + 2bc and 3bc – ac.

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

Answer:

2/5 =w

Step-by-step explanation:

4/w = 10

Multiply each side by w

4/w *w = 10*w

4 = 10w

Divide by 10

4/10 = 10w/10

2/5 =w

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]w=\frac{2}{5}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{4}{w}=10\\-----------\\\rightarrow (\frac{4}{w})w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow\frac{10w=4}{10}\\\\\rightarrow w=\frac{4}{10}\\\\-----------------\\\frac{4}{10}\text{ can be simplified.} \\\\\rightarrow\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}\\-----------------\\\\\rightarrow\boxed{w=\frac{2}{5}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

300.94 sq.m

Step-by-step explanation:

A solid in the shape of cylinder with two hemisphere to each of its ends.

Finding, the Curved surface area of cylinder

Calculate the height of cylinder

Height of cylinder = 11 m

Now, we have

Height of cylinder = 11 m

Radius of cylinder = 7 / 2 = 3.5 m

Using Formula :-

Curved surface area of cylinder = 2× π × r × h

Substitute the values

Curved surface area of cylinder = 2π× 3.5m×11m.

Using the value of π = 3.14

Curved surface area of cylinder =2×3.14× 3.5m × 11 m.

multiply, we get.

Curved surface area of cylinder = 241.78 m².

Finding curved surface area of hemisphere

Using Formula

Curved surface area of hemisphere = 2 × π × r²

substitute the values into the formula

Curved surface area of hemisphere = 2 π × ( 3.5 )²

Evaluate the exponent

Curved surface area of hemisphere =2π×12.25m².

Using value of π = 3.14

Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²

multiply , we get

Curved surface area of hemisphere = 76.93 m².

Total area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)

Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².

Total surface area = 241.78m² + 153.86m².

Subtract and finally we get

Total surface area = 395.64 m ²

Answer:

From the box plot we get:

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

Answer:

4-3

Step-by-step explanation:

solve for x

Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27

Correct option is C.

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = 4(1/3)ˣ

exponential function is defined for x∈R

Putting x = 3

f(3) = 4(1/3)³

f(3) = 4/27

Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ7

Recall that sine is the ratio of opposite over hypotenuse, so we say

sin(theta) = opposite/hypotenuse

If we have a triangle labeled as such in the diagram below, then we can use symbols to write sin(theta) = A/C

Similarly, cos(theta) = B/C since cosine is the ratio of adjacent over hypotenuse.

Then from here we use a bit of algebra to compute the left hand side of the given equation. The goal is to see if we can simplify it to 1.

[tex]\sin^2\left(\theta\right)+\cos^2\left(\theta\right)\\\\\left(\sin\left(\theta\right)\right)^2+\left(\cos\left(\theta\right)\right)^2\\\\\left(\frac{A}{C}\right)^2+\left(\frac{B}{C}\right)^2\\\\\frac{A^2}{C^2}+\frac{B^2}{C^2}\\\\\frac{A^2+B^2}{C^2}\\\\\frac{C^2}{C^2}\\\\1[/tex]

So this shows that the left hand side is identically the same as the right hand side (both sides are 1), and it doesn't matter what you replace theta with. Theta can be any real number and the equation will always be true.

Note: if you're wondering how A^2+B^2 became C^2, it's because of the pythagorean theorem. So that's why this trig identity is often referred to as the pythagorean trig identity.

Answer:

x/4

Step-by-step explanation:

x + 4/4 = y + 3/3

do cross multiplication

4(y +3)=3(x +4)

4y +12=3x +12

4y=3x + 12 -12

4y=3x

y/3 = x/4

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

Answer:

tanM = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{45}{24}[/tex] = [tex]\frac{15}{8}[/tex]

Answer:

Step-by-step explanation:

20cd^-1

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

Answer:

18 m

Step-by-step explanation:

1cm=2meters

so 9 cmx2=18meters. the corridor will be 18 meters

Answer: 0.36

Hope this helps...

Have a great day.

Answer:

B

Step-by-step explanation:

Add both sides of the equation by 7, which satisfies the definition of the addition property of equality.

Answer:

a). Regular Pentagon

b). 540°

c). 108°

d). 72°

Step-by-step explanation:

According To the Question

a). the name of the center polygon is Regular Pentagon

b). the sum of the interior angles of the Regular Pentagon is 540°

c). the measure of each interior angle of the Regular Pentagon is 108°

d). the measure of the Each exterior angle of the Regular pentagon is 72° & Sum of All Exterior Angle Of Regular Pentagon is 360°

Answer:

h(x) = x - 2

Step-by-step explanation:

h(x) = x - 2

Answer:

h(x) = x - 2

Step-by-step explanation: