Find the value of f(5) for the function.
f(x) = 6+3x

Answer:

a)  -2

b)  y = -2x + 6

Step-by-step explanation:

Question (a)

Point A = (-1, -2)

Point B = (7, 2)

[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]

If lines are perpendicular to each other, the product of their gradients will be -1.

Let g be the gradient of the perpendicular line:

[tex]\implies \sf \dfrac12 \times g=-1[/tex]

[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]

Therefore, the gradient of the line perpendicular to AB is -2

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Question (b)

[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]

[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]

[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]

We now know the gradient and a point on the perpendicular line.

So we can use the point-slope form of a linear equation:

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

[tex]\implies \sf y-0=-2(x-3)[/tex]

[tex]\implies \sf y=-2x+6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]

[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]

[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]

Circumference of Semicircle :

[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]

[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]

[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]

Length of common side = 4 feet

So, perimeter of composite figure :

[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]

[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]

Answer:

61.3 to infinty

Step-by-step explanation:

1. Multiple: 7(8) = 56

2. Multiple: 2(4) = 8

3. Divide: the result of step 2: 3 = 8 : 3 = 2.6666666666667 = 8/43

4. Multiple: the result of step 3: 4 = 8/3

* 4 = 8 · 4/

3 · 1

= 32/

3

5. Subtract: the result of step 1 - the result of step 4 = 56 - 32/3

= 56/1

- 32/3

= 56 · 3/1 · 3

- 32/3

= 168/3

- 32/3

= 168 - 32/3

= 136/3

6. Multiple: 2(8) = 16

7. Add: the result of step 5 + the result of step 6 = 136/3

+ 16 = 136/3

+ 16/1

= 136/3

+ 16 · 3/ 1 · 3

= 136/3

+ 48/3

= 136 + 48/3

= 184/3

Answer:

m = 80

Step-by-step explanation:

40 = [tex]\frac{m}{2}[/tex] ( multiply both sides by 2 )

80 = m

Answer:

10.5 units squared

Step-by-step explanation:

just count the squares up or use the formula (a+b)/2 * h .

Not sure what "each square is worth means" sorry, if you clarify I can answer

one square is 2 cm swuared.

trapezoid area = 1/2h(b1+b2)

area = 1/2(6)(10+4)

area = 3*14

area =42

When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.

The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.

A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.

Learn more about Trapezoid at:

https://brainly.com/question/1410008

Answer:

When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.

What is the area of the rearranged figure?

The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.

Step-by-step explanation:

I got it right on Edmentum

Answer:

230=8X+27.75X

230=35.75X

x = 6 Rounded down

8*6=48

27.75*6=166.5

48+166.5=214.5

Amount of frindes can go is 6

Step-by-step explanation:

A supervisor finds the mean number of miles that the employees in a department live from work is 24. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

[tex]z = \dfrac{x-\mu }{s}\\[/tex]

x = 29

s = 3.6

z = 1.5

Then the mean will be

[tex]1.5 = \dfrac{29 - \mu }{3.6}\\\\\mu = 29 - 5.4\\\\\mu = 23.6 \approx 24[/tex]

More about the z-score link is given below.

https://brainly.com/question/15016913

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!

m∠MFE = 28°

======================

Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line

→ m∠MFE + m∠MFP + m∠PFR = 180°

Solve for m∠MFE

Answer:

True

Step-by-step explanation:

yes it is true and second is false

Answer:

[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]

The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...

[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]

We now have to simplify this expression. Let's do that.

[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]

Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!

[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]

With that information, we have solved the problem, your final answer is tanɵ

What have we learned?

Answer:

1,080

Step-by-step explanation:

Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.    

Answer:

I think you need to link a picture or something

Step-by-step explanation:

Answer:

Please post the full question.

Step-by-step explanation:

I am trying to help, but the question is missing some key info.

Please dont delete, as when he posts the full thing, I will reply to this answer with the answer and explanation.

Answer:

c= 30

Step-by-step explanation:

To find the value of c, start by forming an equation using the ∠ sum of ∆ property.

c° +60° +90°= 180° (∠ sum of ∆)

Simplify:

c° + 150°= 180°

c°= 180° -150°

c°= 30°

c= 30

Notes:

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

Answer:

22 is th area

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

density= 2 and 1/2

Step-by-step explanation:

The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]

so the mass is 100, and the volume is 2x4=8x6=48,  100/48 equals 2 and 1/2

The feet per minute that John is travelling down 195 is 4840 feet per minute.

Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.

In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :

1 mile = 5280 feet

1 hour = 60 minutes

55 x (5280 / 60) = 4840 feet per minute

To learn more about average speed, please check: https://brainly.com/question/21734785

Answer: 17 inches

Step-by-step explanation:

The formula for finding the length of a diagonal in a rectangle is [tex]d=\sqrt{w^2+l^2}[/tex]

Where

d is the diagonal

w is the width (8 for this)

l is the length (15 for this)

Sub these values into the equation

[tex]d=\sqrt{w^2+l^2}\\d=\sqrt{(8)^2+(15)^2}[/tex]

Solve

[tex]d=\sqrt{(8)^2+(15)^2}\\d=\sqrt{64+225}\\d=\sqrt{289}\\d=17[/tex]

If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.

Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.

Carly:-

Area:-

#Carter

Area:-

Carter's room is expensive

Step-by-step explanation:

so, the garden seems to be rectangular.

it has a length.

and width = length - 2

I assume the fence should go all around the rectangular garden.

that means it has to cover 2 lengths and 2 widths.

fence = 2×length + 2×(length - 2) =

= 2×length + 2×length - 4 = 4×length - 4 =

= 4×(length - 1)

length = 7.5 m

so, he will need

4×(7.5 - 1) = 4×6.5 = 26 meter of fencing.

Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.

[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]

Multiply the numerators and denominators and you will get:    [tex]\frac{1}{8}[/tex]

Hope this helped!

Answer:

I do not know the full answer but its not the mean dropping

Step-by-step explanation:

i said the mean dropping and I got it wrong.

Answer:

The mean will change more than the median

Step-by-step explanation:

Prices given by

Mean:-

[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]

[tex]\\ \rm\Rrightarrow 22220\$[/tex]

mean price = $22320

mean is the average of a set of given numbers

set { $24,600, $19,000, $33,000, $15,000, $20,000 }

[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]

[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]

[tex]\sf \rightarrow mean = 22320[/tex]