Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?
x + 2y = -11
x + 2y = -10
2x + y = -11
2x + y = -10

Answer:

The radius of the cylinder is 4 cm.

Step-by-step explanation:

Given:

radius of cone = 6 cm

height of the cone = 8 cm

height of cylinder = 6 cm

We need to find the radius of cylinder.

Solution:

First we will find the volume of cone.

Volume of cone is one third time square of radius times height times π.

framing in equation form we get;

Volume of cone = [tex]\frac{1}{3}\pi r^2h = \frac{1}{3}\pi\times 6^2\times 8 \approx 301.44 \ cm^3[/tex]

Now Volume of cylinder is given by square of radius times height times π.

framing in equation form we get;

Volume of cylinder = [tex]\pi r^2h=18.84r^2[/tex]

Now it has been given that;

Volume of cone is equal to Volume of cylinder.

so we can say that

[tex]18.84r^2=301.44[/tex]

Dividing both side by 18.84 we get;

[tex]\frac{18.84r^2}{18.84}=\frac{301.84}{18.84}\\\\r^2\approx16[/tex]

Taking square root on both side we get;

[tex]\sqrt{r^2}=\sqrt{16} \\\\r=4\ cm[/tex]

Hence the radius of the cylinder is 4 cm.

A right circular cylinder with radius 4 cm and height 3 cm-150.72 cu cm

A cone with radius 5cm and height 12 cm-314 cu cm

A pyramid with base area 16 sq cm and height 30 cm-160 cu cm

A pyramid with a square base of length 3 cm and height 16 cm-48 cu cm

Explanation

volume of cylinder=[tex]\pi r^2h[/tex][tex]3.14*4^2*3=150.72[/tex] cu cm

volume of cone=[tex]1/3 \pi r^2 h[/tex]=314 cu cm

volume of pyramid=[tex](base area*height)/3=(16*30)/3[/tex]=160 cu cm

volume of pyramid=

=[tex](base area*height)/3\\square base length=3 cm\\base area=a^2 =3^2 =9\\volume=(9*16)/3=48cm^3[/tex]

Answer:

C

Step-by-step explanation:

The function is formed of 2 straight lines

The equation of a straight line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (2, - 2) ← endpoints of left line

m = [tex]\frac{-2+5}{2+4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = [tex]\frac{1}{2}[/tex] x - 3 for x <  2 ( arrow on line points left )

Repeat

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (3, 1) ← 2 points on right line

m = [tex]\frac{1+2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3, thus

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 1), then

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = 3x - 8 for x ≥ 2 ( arrow on line points right )

Answer:

Yes! 4(3y-2)=12y-8

Answer:

yes 4(3y - 2) = (12y - 8)

Step-by-step explanation:

because if you should expand 4(3y - 2) by multiplying each value within the bracket by 4, you will have 12y - 8

Answer:

Step-by-step explanation:

(-3,-9) , (2,-6), (-5,4), (1,2), (6,0)

the domain is gonna be ur x values

so the domain of this function is [ -5,-3,1,2,6] <==

** the domain is ur x values and the range is ur y values

Answer: -1

Step-by-step explanation:

i just answered if off of edg.

Answer:

$60,000

Step-by-step explanation:

100,000 / 10 = 10,000, 10- 4=6, 10,000 * 6 = 60,000

To determine the monthly income of a family after 40% is withheld from a $100,000 annual income, subtract the amount withheld ($40,000) from the annual income and divide by 12, yielding a monthly income of $5,000.

To calculate the monthly income after taxes for the family, we first need to determine the amount withheld from the annual income for taxes and retirement plans. With an annual income of $100,000 and 40% being withheld, we do the following calculation:

Therefore, the family's monthly income after the 40% is taken off would be $5,000.

Answer:

The slope of the least squares regression line is:

0.32

The units of the slope of the line are:

centimeters per day.

The slope of the line tells you that for each new day you can predict that a plant's height will increase by about 0.32 centimeters.

The y-intercept of the least square regression line is:

-1.72

The units of the y-intercept of the line are:

centimeters.

The y intercept:

Typical height compared to the soil line.

Step-by-step explanation:

Answer: +81

Explanation: To find the next term in the pattern, begin by studying the pattern. Here, notice that 3 x 3 is equal to 9 and 9 x 3 is equal to 27.

Continuing the same pattern, 27 x 3 is equal to 81.

So the next term in the pattern is +81.

The greatest whole possible whole number length of the unknown side is 9 inches

Solution:

Two sides of an acute triangle measure 5 inches and 8 inches

The length of the longest side is unknown

We have to find the length of unknown side

The longest side of any triangle is a hypotenuse

For a acute triangle we know:

If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

[tex]c^2<a^2+b^2[/tex]

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

[tex]c^2< 5^2+8^2\\\\c^2 < 25 + 64\\\\c^2 < 89\\\\c < 9.4[/tex]

On rounding to nearest whole number,

c < 9

Hence, to the greatest whole possible whole number length of the unknown side is 9 inches

Answer:

The greatest whole possible whole number length of the unknown side is 9 inches

Step-by-step explanation:

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = [tex]\sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}[/tex]

, i.e. AD = [tex]\sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}[/tex]

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = [tex]\sqrt{[x'' - x']^{2} - [y'' - y']^{2}}[/tex]

, i.e. AB = [tex]\sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}[/tex]

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

Answer:

According to my calculations, the answer is (x, y)= ( -1, -3 ). In other words, x= -1 and y= -3

Step-by-step explanation:

Answer:

y=4x-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-8)/(1-3)

m=-8/-2

m=4

y-y1=m(x-x1)

y-8=4(x-3)

y=4x-12+8

y=4x-4

Answer:y - 4x + 4 = 0

Step-by-step explanation: Formula for equation of a line passing through two coordinates is

y - y₁                 y₂ - y₁

______  =       ______

x - x₁                  x₂ - x₁

Therefore,            y₂ -y₁                                                                                                  

        y - y₁      =      ____      ×    ( x - x₁ )

                             x₂ - x₁

where x₁ =3, y₁ =8, x₂ = 1 and y₂ 0

Now substitute for the value

y - 8 = 0 - 8

         ______    x     ( x - 3 )

           1 - 3

Therefore y - 8 = -8/-2 × (x - 3 )

y - 8 = -8/-2 × (x - 3)

y -8 = 4 × (x - 3 )

y - 8 = 4( x - 3 )

y - 8 = 4x - 12, when the brackets are open,

So y = 4x - 12 + 8

    y = 4x - 4

Therefore the equation of the line is

y - 4x + 4 = 0

Answer:

x = y/12

Step-by-step explanation:

The measure of the angle is;

200.64 degrees ⇒ B

200 degrees 38' 24" ⇒ C

Step-by-step explanation:

To convert the measure of an angle from degrees to radians or from radians to degrees use these rules

∵ The measure of an angle is 3.5 radians

- We need to change its measure to degree, use the 2nd rule

∵ π = 3.14

∴ Its measure in degree = [tex](3.5).(\frac{180}{3.14})[/tex]

∴ Its measure in degree = 200.64°

To find its measure in degree, minutes and seconds, multiply the number before decimal point by 60 to find the number of minutes

∵ 1° = 60'

∵ 0.64 × 60 = 38.4

- That means the number of minutes is 38

∵ 1' = 60"

∵ 0.4 × 60 = 24

- That means the number of seconds is 24

∴ The measure of the angle is 200° 38' 24"

The measure of the angle is;

200.64 degrees

200 degrees 38' 24"

Learn more:

You can learn more about the radians measure in brainly.com/question/12939121

#LearnwithBrainly

addition (+) expression the students used to find the answer.

Solution:

Given data: A student is asked to find the sum of 197 and 413.

Sum means adding two numbers or variables.

For addition, we use + symbol to add two numbers.

First add last digit of the numbers (7+3) = 10.

Put 0 in last and carry 1 to the next left digit top.

Add middle digits with carry over 1 (1 + 9 + 1) = 11

Put 1 and carry another 1 to the next left digit top.

Add first digit of the numbers with carry over 1 (1 + 1 + 4) = 6

Sum of 197 + 413 = 197 + 413

                            = 610

The addition image attached below.

Hence, addition (+) expression the students used to find the answer.

Answer:

what does it look like we need that

Step-by-step explanation:

Answer:

Rise

Step-by-step explanation:

The vertical change between two points is called the rise, and the horizontal change is called the run. Just think of the rise as your going up from the bottom to the top. And run as if you were just going from one side to the other.

The domain is all possible values for x.

Here we can see a parabola the goes sideways.

The vertex of the parabola is at (3,-1).

That means the domain is [tex]x\geq 3[/tex]

Think about it this way, is there any point on the parabola that can have a x coordinate of 4?

The range of a function is all possible y values. Is seems that the parabola stretches infinitely up and down, meaning that all values of y are possible.

The correct option will the new price is 120% of the old one because the price increases by 20%, which is added to 100%.

Percent of change is determined by the difference between the two values divided by the orginal one, then multiplied by 100.

i.e. percent of change=(change in value/original value)*100

So according to the asked question,

old value of the shoes=$25

new value of the shoes=$30

change in value=30-25=$5

percent of change=((30-25)/25)*100=20%

hence price increases by 20%.

If the old price is 100 and price increases by 20% then new price will be 120.

So the new price is 120% of the old one.

in another way we can calculate that

old value*x%=new value

⇒old value*x/100=new value

⇒x=new value*100/old value=30*100/25=120%

Therefore the new price is 120% of the old one because the price increases by 20%, which is added to 100%.

Learn more about Percent of change

here: https://brainly.com/question/809966

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Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 2x + 2 + 3x + 4 = 180, that is

6x + 6 = 180 ( subtract 6 from both sides )

6x = 174 ( divide both sides by 6 )

x = 29

Answer:

[tex](x,y) -----> (x+9,y-12)[/tex]

Step-by-step explanation:

we know that

[tex]A(7, 3) ----> A'(16,-9)[/tex]

The rule of the translation is equal to

[tex](x,y) -----> (x+a,y+b)[/tex]

Find the values of a and b

[tex](7,3) -----> (7+a,3+b)[/tex]

we have that

[tex]7+a=16[/tex] ----> [tex]a=16-7=9[/tex]

[tex]3+b=-9[/tex] ---->[tex]b=-9-3=-12[/tex]

substitute the values of a and b

[tex](x,y) -----> (x+9,y-12)[/tex]

That means----> The translation is 9 units right and 12 units down

Answer:

Option D:

(x, y) -> (x + 9, y minus 12)

Step-by-step explanation: Honestly all people want are the answers so I don't really care to write an explanation.

Solving by elimination...

4x=14-3y ---> 12x=42-9y

               ×3

3x-3y=11 ----> 12x-12y=44

               ×4

  12x=42-9y

-(12x-12y=44)

--------------------

12y=-2-9y

21y=-2

y=-2/21

3x-3(-2/21)=11

3x+2/7=11

3x=10 5/7

x=25/7

Answer:

4x=14-3y 3x-3y=11

Step-by-step explanation:

Answer:

It’s FALSE

Step-by-step explanation:

The function to calculate the number of illiterate people in Sylvania t years from today is P(t) = 9000 * (3/5)^t.

To write a function that gives the number of illiterate people in Sylvania, P(t), t years from today, we can use the following formula:

P(t) = 9000 * (3/5)^t

This formula represents the reduction in the number of illiterate people by 3/5 each year. To calculate the number of illiterate people t years from today, we multiply the initial number of illiterate people (9000) by the reduction factor (3/5) raised to the power of t.

Answer: 9000( 1 - 3/5 ) ^t

Answer:

1. Translation 5 units to the left and 1 unit down

2. Reflection across the x-axis

Step-by-step explanation:

Triangle XYZ has its vertices at points X(-6,2), Y(-4,7) and Z(-2,2).

1. Translate triangle XYZ 5 units to the left and 1 unit down. This translation has the rule:

[tex](x,y)\rightarrow (x-5,y-1)[/tex]

Then

[tex]X(-6,2)\rightarrow X'(-11,1);[/tex]

[tex]Y(-4,7)\rightarrow Y'(-9,6);[/tex]

[tex]Z(-2,2)\rightarrow Z'(-7,1).[/tex]

2. Reflect triangle X'Y'Z' across the x-axis. This reflection has the rule:

[tex](x,y)\rightarrow (x,-y)[/tex]

Then

[tex]X'(-11,1)\rightarrow X''(-11,-1);[/tex]

[tex]Y'(-9,6)\rightarrow Y''(-9,-6);[/tex]

[tex]Z'(-7,1)\rightarrow Z''(-7,-1)[/tex]

These points are exactly the vertices of the triangle X''Y''Z''.

The sequence of transformations is translation, rotation, reflection, and dilation.

The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is:

Translation: Move the triangle in a linear direction without rotating it.

Rotation: Rotate the triangle about a fixed point or axis.

Reflection: Mirror the triangle across a line known as the axis of reflection.

Dilation: Increase or decrease the size of the triangle while preserving its shape.

By applying these transformations in the specified sequence, triangle XYZ can be mapped onto triangle X"Y"Z".

Answer:

60$

Step-by-step explanation:

Shipping is 7.50 and the 7 items are 52.5 total

Answer:

1. m∠MKN = 41°

Step-by-step explanation:

1.

KM bisects so NKM and MKL are equal

2 (3x + 5) + 8x + 2 = 180 (straight angle)

6x + 10 + 8x + 2 = 180

6x + 8x = 180 - 10 - 2

14x = 168

x = 168/14

x = 12

3*12+5 = 41

m MKN = 41