Write the equation of the given line in slope-intercept form

Answer: 6.28

Radius:

r=d/2
r=2/2
r=1

Circumference:

C=2(3.14)r
C=2(3.14)x1
C=2(3.14)
C=6.28

Formulae:

Circumference= 2(3.14)r(radius)
Radius=Diameter/2

Answer:

  (b) 7.28 cis(105.945°)

Step-by-step explanation:

The trig form of a vector is always ...

  magnitude(cos(angle)·i +sin(angle)·j)

Sometimes, that is abbreviated ...

  magnitude cis(angle)  or  magnitude∠angle

where the "angle" is measured counterclockwise from the +x axis.

__

The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)

  u = 7.28(cos 105.945°i + sin 105.945°j)

Answer:

Step-by-step explanation:

Answer:

width is 9

length is 13

Step-by-step explanation:

l=3b +4

w=b

(3b+4)2+2b=80

6b+8+2b=80

8b+8=80

8b=80-8=72

b=72/8

b=9

Answer:

D) Quadrant III

Step-by-step explanation:

The point (-4, -5) is located in the 3rd quadrant, in which both the x axis and the y axis are negative.

The length of the third side is a-2. :))

Answer:

1.5 and 2

Step-by-step explanation:

Hey ! there

Answer:

Step-by-step explanation:

In the question we are given that sum of two numbers is 6 , second number is three more than twice the first number .And We are asked to find the two numbers .

We are solving this question by assuming ,

Solution : -

As question says that sum of two numbers is 6 that is :

Now , substituting value of first and second number which we have assumed above ,

[tex] \longmapsto \qquad \: x +2x + 3 = 6[/tex]

Step 1 : Adding like terms on left side :

[tex]\longmapsto \qquad \:3x + 3 = 6[/tex]

Step 2 : Subtracting with 3 on both sides :

[tex]\longmapsto \qquad \:3x + \cancel{3 }- \cancel{3 }= 6 - 3[/tex]

On further calculating, We have :

[tex]\longmapsto \qquad \:3x = 3[/tex]

Step 3 : Dividing with 3 on both sides :

[tex]\longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3} }= \cancel{ \dfrac{3}{3} }[/tex]

On calculating further, We get :

[tex]\longmapsto \qquad \: \blue{\underline{\boxed{ \pink{\sf{x = 1}}}}}[/tex]

We know that ,

Therefore , first number is ❝ 1 ❞ .

And ,

Therefore , second number is ❝ 5 ❞ .

Verifying : -

Now we are verifying our answer by adding both the numbers and equating it with 6 as it's given in question that sum of both the numbers is equal to 6 .

Therefore, our answer is correct .

Answer:

Answer is 144 yeah you're good

Step-by-step explanation:

To find any sum of the interior angles for any regular polygon, you would use the equation (n - 2) * 180 [With n being the number of sides the polygon has]

Since the decagon has 10 sides n would be equal to 10, now plug it into this equation

[tex]= (10 - 2) * 180\\= 8 * 180\\= 1440[/tex]

So now we know the sum of the interior angles of the decagon is 1440, now if you were to find out the measurement of an interior angle for this decagon you would divide the sum of the interior angles by the amount of sides of the polygon.

In which case, the decagon has ten sides so...

[tex]= \frac{1440}{10} \\= 144[/tex]

Answer:

69.09yd

Step-by-step explanation:

9.8 times 14.1 divided by 2

because it is a triangle and when u do area with triangles u do bxh 1/2.

Answer:

y = (x-5)² - 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=(x-1)^2+2}[/tex]

Transformation:

[tex]\displaystyle \large{f(x-a)}[/tex] is translation of a units to the right

[tex]\displaystyle \large{f(x)-b}[/tex] is translation of b units down.

Therefore:

[tex]\displaystyle \large{g(x)=f(x-4)-5}[/tex] is our new equation or transformation:

[tex]\displaystyle \large{g(x)=[(x-4)-1]^2+2-5}\\\displaystyle \large{g(x) = [x-4-1]^2-3}\\\displaystyle \large{g(x)=(x-5)^2-3}[/tex]

Therefore, the new equation is y = (x-5)² - 3

Answer:-63

Step-by-step explanation:

well first you would do 4-11 which is -7 and then -7x9=-63

Answer:

-63

Step-by-step explanation:

1. Subtract 11 from both sides:

[tex]\frac{x}{9} =-7[/tex]

2. Multiply both sides by 9 to isolate x:

[tex](9)\frac{x}{9} =-7(9)[/tex]

x = -63

hope this helps!

Answer:

12

Step-by-step explanation:

20-6=14 (Distance between points) then 14*3/7=6.

3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is

3/7 of the distance from A=6 to B=20 by adding 6 to 6.

6+6= 12

Therefore, the point that is

3/7 from A=6 to B=20 is 12.

π(5in)² * 30 over 360 can be used to determine sector area.

[tex]\sf sector \ area \ : \dfrac{\theta}{360} *\pi *radius^2[/tex]

# radius = 5 inches

# angle = 30 degrees

sector area:

[tex]\hookrightarrow \sf \dfrac{30}{360} *\pi *5^2[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{12} *\pi *25[/tex]

[tex]\hookrightarrow \sf \dfrac{25}{12}\pi[/tex]

[tex]\hookrightarrow \sf 6.54 \ inch^2[/tex]

Answer:

[tex]\pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)[/tex]

π(5in)² 30 over 360

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

(where [tex]\theta[/tex] is the angle and r is the radius)

Given:

Substituting these values into the equation:

[tex]\begin{aligned}\implies\textsf{Area} &=\left(\dfrac{30^{\circ}}{360^{\circ}}\right) \pi \cdot (5\: \sf in)^2\\\\ & = \pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)\\\\ & = \pi \cdot 25\:(\sf in^2) \cdot \dfrac{1}{12}\\\\ & = \dfrac{25}{12} \pi \:(\sf in^2) \\\\ & = 6.54\: \sf in^2\:(nearest\:hundredth) \end{aligned}[/tex]

Answer:

274 square units

Step-by-step explanation:

Surface Area of the prism

Here :

Solving

Answer:

[tex]274\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of top and bottom

[tex]A = l * w[/tex]

[tex]A = 13\ units * 4\ units[/tex]

[tex]A = 52\ units^2[/tex]

Top and bottom gives us (52 units^2 * 2) = 104 units^2

Step 2:  Determine the area of the sides

[tex]A = l * w[/tex]

[tex]A = 4\ units * 5\ units[/tex]

[tex]A = 20\ units^2[/tex]

Sides gives us (20 units^2 * 2) = 40 units^2

Step 3:  Determine the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 13\ units * 5\ units[/tex]

[tex]A = 65\ units^2[/tex]

Ffront and back gives us (65 units^2 * 2) = 130 units^2

Step 4:  Add up the areas to get the total surface area

[tex]104\ units^2 + 40\ units^2 + 130\ units^2[/tex]

[tex]274\ units^2[/tex]

Answer:  [tex]274\ units^2[/tex]

Answer:

A: 3/44

Step-by-step explanation:

If you draw a red ball, it would have a 3/12 probability and then if you draw a pink, it would have a 3/11. Multiply 3/11 to 3/12 to get 3/44

Hope I could help :)

Answer:

A

Step-by-step explanation:

Answer:

y = x - 3

Explanation:

take two points: (1, -2), (2, -1)

Find slope:

[tex]\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }[/tex] where (x1, y1), (x2, y2)

[tex]\sf \rightarrow \dfrac{-1-(-2)}{2-1}[/tex]

[tex]\sf \rightarrow 1[/tex]

Equation:

y - y1 = m(x -x1)

y - (-2) = 1(x-1)

y + 2 = x - 1

y = x - 3

Answer:

[tex]\huge \boxed{\bf{y = x - 3}}[/tex]

Step-by-step explanation:

Given:-

Take two point:

To find:-

Ans:-

~Find slope in two point:

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

[tex]\sf \to m = \frac{-1 - (-2)}{2 - 1} [/tex]

[tex]\sf \to m = \frac{1}{1} [/tex]

[tex]\sf \to m = 1 [/tex]

[tex] \: [/tex]

~Find equation:

[tex] \sf \to y - y_1 = m(x - x_1) [/tex]

[tex] \sf \to y - (-2) = 1(x - 1) [/tex]

[tex] \sf \to y + 2 = x - 1 [/tex]

[tex] \sf \to y = x - 1 - 2 [/tex]

[tex] \sf \to y = x - 3 [/tex]

[tex] \: [/tex]

[tex] \huge\colorbox{blue}{BlackPain} [/tex]

Answer:

1. 4th one (bottom right)

2. y=x -5

3. positive trend

Simple interest is a method of calculating interest on an amount. The sum of the total balances of these accounts at the end of 7 years is $27,822.54.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]\rm Simple\ Interest=\dfrac{P\times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

As it is given that the amount deposited by James is $12,000. While the interest earned on the first account is 2.2% compounded annually for a period of 7 years, therefore, the balance in the account will be,

[tex]\text{Account balance of first Account} = P(1+r)^t = 12,000(1.022)^7=\$13,974.54[/tex]

In the second account, James deposited $12,000 at a rate of 2.2% annual simple interest. Therefore, the balance in the account will be,

[tex]\text{Account balance of second Account} = P+\dfrac{P\times R \times T}{100}[/tex]

                                                        [tex]=12,000+\dfrac{12,000 \times 2.2 \times 7}{100} \\\\= \$13,848[/tex]

Now, the balance of the account when combined together will be,

[tex]\rm Total\ Balance = \text{Account balance of first Account} +\text{Account balance of second Account} \\\\\rm Total\ Balance = \$13,974.54+\$13,848 = \$27,822.54[/tex]

Hence,  the sum of the total balances of these accounts at the end of 7 years is $27,822.54.

Learn more about Simple Interest:

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Answer:

i think its c but i could be wrong

Answer:

The answer is C.

Step-by-step explanation:

Using distributive property.

(5x-6)(2x+3) = (2x+3)(5x-6)

2x*(5x-6)+3*(5x-6)

Tomando la suma de las alturas, veremos que la colmena está a 3.5 metros del suelo.

La distancia del suelo será igual a la suma entre la altura del oso, que es 2.3 metros, y la altura de la roca, que es de 12 decimetros.

Recordar:

1dm = 1*10^(-1) m

Entonces podemos hacer el cambio de unidades:

12dm = 12*10^(-1) m = 1.2 m

Así, la suma de las alturas es:

1.2m + 2.3m = 3.5m

Es decir, la colmena está a 3.5 metros del suelo.

Si quieres aprender más sobre distancias:

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The radius of the cone-shaped icecream that has a height of 4.5 in. and a volume of 1.5π in.³ is: 1 inches.

Volume = 1/3πr²h

The parameters of the cone are given below:

Height (h) = 4.5 in.

Volume of the cone = 1.5π in.³

Plug in the values to find radius (r):

1.5π = 1/3πr²(4.5)

3(1.5π) = πr²(4.5)

4.5π = πr²(4.5)

Divide both sides by 4.5π

1 = r²

r = 1 in.

Radius of the cone is 1 in.

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Answer: 170.3

Step-by-step explanation:

The interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96

The compound interest is the interest added on a sum of money invested over a period of time. The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given the following

P =  $6,599.20

r = 4.2%  = 0.042

n = 12 (monthly)

t = 7 years

Substitute

A =  6,599.20 (1+0.042/12)^7(12)
A =  6,599.20 (1.0035)^84
A= $8,850.20

Interest = $8,850.20 -  $6,599.20

Interest = $2,250.96

Hence the interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96

Learn more on compound interest here: https://brainly.com/question/24924853

Answer:

IT'S A !

Step-by-step explanation:

EDGE

Answer:

About 5 hr 10 min  

Step-by-step explanation:

rate 1   = 1  pool / 9 hrs          rate 2 = 1 pool / 12 hours

now find the time with both rates combined

1 pool / ( 1/9 + 1/12)  =   1/ (7/36)  =   36/7 hr  = 5 1/7 hr = 5 hr 8.6 min

Answer: It's False.

Step-by-step explanation:

Step by step explanation below!

Answer:

x = -5.6

Step-by-step explanation:

-3x = 16.8

-3x/-3 = 16.8/-3

x = -5.6

Answer:

7

Step-by-step explanation:

V = base x height

base = 5 x 6

5 x 6 = 30

V = 210

H = V/Base

H = 210/30

210/30 = 7

H = 7

Answer:

No

Step-by-step explanation:

9/24 does not equal 24/64

Answer:

yes

Step-by-step explanation:

When you think about it and turn these fractions into a decimal, you will find out that they are equal

9/24=2.66666666667

24/64=2.66666666667

Answer:

Left to right, (26,100,50,41)

Step-by-step explanation:

a^2 + b^2 = c^2

100+576=676, sq root is 26

3600+6400=10,000, sq root is 100

900+1600=2500, sq root is 50

1600+81=1681, sq root is 41.

You square a and b, you add them together to get c squared. You then take the square root of c squared to get c.

Answer:

y = -x - 6

Step-by-step explanation:

Given:

From:

[tex]\displaystyle \large{y=mx+b}[/tex]

where m = slope and b = y-intercept. Therefore:

[tex]\displaystyle \large{y=-1x+b}\\\displaystyle \large{y=-x+b}[/tex]

Since the equation passes through a point (2,-8). Substitute x = 2 and y = -8 in and solve for b:

[tex]\displaystyle \large{-8=-2+b}\\\displaystyle \large{-8+2=b}\\\displaystyle \large{b=-6}[/tex]

Then substitute b-value in the equation:

[tex]\displaystyle \large{y=-x+b}\\\displaystyle \large{\therefore y=-x-6}[/tex]

Hence, the equation is y = -x - 6

Answer:

y = -x - 6

Step-by-step explanation:

Hi there!

We are given that a line contains the point (2, -8), and a slope of -1

We want to find the equation of this line, in slope-intercept form

Slope-intercept form is written using the formula y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

Notice how we are already given the slope - we can immediately plug that into the equation as m.

y = -x + b (when -1 is the coefficient in front of a number, there is no need to write '-1x'. '-x' is sufficient.)

Now, we need to find b

The line contains the point (2, -8), meaning that it is a solution to the equation. If this is the case, that means that the values of x and y that make up the point will make the equation true, when you plug those values into the equation

So substitute 2 as x and -8 as y:

-8 = -2 + b

Add 2 to both sides

-8 = -2 + b

+2    + 2

_____________

-6 = b

Substitute -6 as b.

y = -x -6

Hope this helps!

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