graph the inequality 3x- 6≤ -3

Answer: 31.62

Step-by-step explanation:

(a) y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

(b) y = 2x + 3

(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:

y - y₁ = m(x - x₁)            -------------------(i)

Where;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = slope or gradient of the line  ---------------(ii)

Given points on the triangle are:

A(2,5)

B(1,-2)

C(-5,1)

To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;

x₁ = 1

y₁ = -2

x₂ = -5

y₂ = 1

==> First get the gradient using equation (ii) as follows;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{1 - (-2)}{-5 -1}[/tex]

m =   [tex]\frac{3}{-6}[/tex]

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

==> Now, use equation (i) to find the equation of the line as follows;

y - (-2) = [tex]\frac{-1}{2}[/tex](x - 1)

y + 2 = [tex]\frac{-1}{2}[/tex](x - 1)

Multiply both sides by 2

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

2y + 4 = -x + 1

2y = -x + 1 - 4

2y = - x - 3

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

Therefore, the equation of the line is y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

(b) To find the perpendicular line from A to BC, note that

i. two lines are perpendicular if they meet at 90°

ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.

iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of [tex]\frac{-1}{m}[/tex]

The equation of line BC is y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex].

This means that BC has a slope of [tex]\frac{-1}{2}[/tex]

A perpendicular line from A to BC will have a slope of 2.

Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)

where;

m = 2

x₁ = 2

y₁ = 5

Substitute these values into equation (i)

y - 5 = 2(x - 2)

Solving by simplification gives;

y - 5 = 2x - 2

y = 2x + 3

Therefore, the equation of the perpendicular line is y = 2x + 3

Answer:

Good question could someone answer it. I would like to know also

Answer:

20 5/6 ft

Step-by-step explanation:

5 3/5 = 28/5

1 4/5 = 9/5

V = l * w * h

210 = l * 28/5 * 9/5

210 = l * 252/25

multiply both sides by 25/252

5250/25 = l

Reduce

20 5/6 = l

20 5/6 ft

The probability expression is n/10 * (n - 1)/9 and the single fraction is n(n - 1)/90

We understand that there are 10 sweets in the box

Such that

Jelly beans = n

This means that

The rest = 10 - Jelly beans

So, we have

The rest = 10 - n

The probability of 2 jelly bean sweet is represented as

P(2 jelly bean sweets) = P(First jelly bean sweets) * P(Second jelly bean sweets)

This gives

P(2 jelly bean sweets) = n/10 * (n - 1)/9

Solving further, we have

P(2 jelly bean sweets) = n(n - 1)/90

Hence, the probability is n(n - 1)/90

Read more about probability at

https://brainly.com/question/251701

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The correct answer is:

(10-n)(9-n)/90

mark it as brainly

Answer:

[tex]390ft^2\\[/tex]

Step-by-step explanation:

Ok so we have 2 (congruent) triangles and 3 rectangles.

Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be [tex]ft^2[/tex]

Now let's start:

First, I am going to start with finding the area of the rectangles.

[tex]12\cdot11=132\\13\cdot11=143\\5\cdot11=55\\\\55+143+132=330[/tex]

Alright, next lets move on to the triangles.

They are both the same, if you notice. So find one and double it.

[tex]12\cdot5=60\\\frac{60}{2}=30\\30\cdot2=60[/tex]

now lets add em all

330+60

= 390 and thats your final answer, dont forget to include the unit, ft^2

Step-by-step explanation:

Yes.. because we should not fear of anything because if we fill something unsuitable or suspecious or something else then that feeling is said to be fear for me....

But for me what a person can do who has fear??

To prevent fear...

Make your heart fool that nothing is there..All is going well..

Answer:

Not at all. Fear may seem like a negative term because it can be a negative emotion. Fear, most of the time is a matter of survival. In my opinion, it is not foolish to fear but it is foolish to fear the unknown. (Also, is this a quote from an anime? I think I have heard it before) Hope this helps.

Answer:

15.6

Step-by-step explanation:

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

In this case the spending per policy holder is $8900

Hence, per policy holder has to pay a premium of

80-85% of $8900

$7120 or $7565 is the minimum average premium they should charge per policy holder

Answer:

Because it only has one answer and there are no variety of answers.

hope this helps

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Answer: 65.97 yd^3

Step-by-step explanation:

The equation to find the volume of a cone is: v=[tex]\pi r^{2} \frac{h}{3}[/tex]

So, v = [tex]\pi[/tex] (3^2)(7/3) = 65.97345 yd^3

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

Answer:

1. 13x2+7x-2

2. 13x2-3x-8

3. -2x2+3x-7

4. 210in2

5. 294.93sq ft

Step-by-step explanation:

Answer:

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Step-by-step explanation:

Your question is poorly formatted (See comment section for complete question)

Given

[tex]x = \{elf, hobbit, human\}[/tex] ---- characters

[tex]n(x) =3[/tex]

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools

[tex]n(y) = 5[/tex]

Required

The probability that your character won't be a hobbit or your tool won't be an umbrella?

First we calculate the probability of choosing a hobbit.

[tex]x = \{elf, hobbit, human\}[/tex]

[tex]n(hobbit) = 1[/tex]

So:

[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]

[tex]P(hobit) = \frac{1}{3}[/tex]

Using the complement rule, we calculate the probability of not choosing a hobbit

[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]

[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]

[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]

Next, we calculate the probability of choosing an umbrella.

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]

[tex]n(Umbrella) = 1[/tex]

So:

[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]

[tex]P(Umbrella) = \frac{1}{5}[/tex]

Using the complement rule, we calculate the probability of not choosing an umbrella

[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]

[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]

[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]

The required probability is calculated using:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]

In this case;

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]

Take LCM

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

Answer:

multiply 8 times 12 divide 96 with 12 divide 64 with 16

Step-by-step explanation:

I'm not rly sure if this is correct

Answer: 25 hours

Step-by-step explanation:

Answer:

25 hours

Step-by-step explanation:

Answer:

The answer is A. x + 5, y - 2

Step-by-step explanation:

The answer is A because you would move the block 5 spaces to the right and 2 spaces down.

Hope this helps!

Answer:

The answer is option c....

Mark as brainliest

Answer:

8 meters

Step-by-step explanation:

4x2=8

Answer: 1/2 mile

Step-by-step explanation:

[tex]2\frac{1}{2} -(\frac{1}{4} +1\frac{3}{4} )=Distance\\\22\frac{1}{2} =\frac{10}{4} \\\11\frac{3}{4} =\frac{7}{4} \\\frac{10}{4} -\frac{1}{4} -\frac{7}{4} =\frac{2}{4} =\frac{1}{2} \\[/tex]

Answer:

1/2 mile hope this helps

Step-by-step explanation:

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Answer:

Step-by-step explanation:

Answer:

224

L Times w times H = V

4 times 8 times 7

and that Equals 224.

Have a great Day!

Answer:

224 cm^2

Step-by-step explanation:

(4)(8)(7) = V

224 = V

Answer:

•Absolution is not a method to solve system of equation

Answer:

C is 3..............................