27 POINTS
What is the value of x in the figure below? In this diagram, AABD - ACAD.

Answer:

4(7+3x)

Step-by-step explanation:

We know that a square has all equal sides, otherwise it's not really a square. So if each side of the square is 7+3x units, then the perimeter (which is always side+side+side+side) would be 4 times as great. In other words, since the perimeter is side+side+side+side, and since that multiplication is repeated addition, 4(7+3x) is the same as (7+3x)+(7+3x)+(7+3x)+(7+3x)

Answer:

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).

Hope this helps you with your question.

Answer:

loss per part is  $(-156).

Step-by-step explanation:

Given total loss = $(-$12,480)

no of identical parts produced = 80

let the loss per part be x

then, total loss for 80 parts = 80* loss per part  = 80x

given that total loss = $(-$12,480)

80x =  $(-$12,480)

x =  $(-$12,480) /80 = $(-156)

Thus, loss per part is  $(-156).

Here negative sign implies that it is a loss.

Answer:

[-8, 7]

Step-by-step explanation:

The range is the set of values used for the y-coordinates of the all the points of the function.

The highest value of the function is at point (8, 7), so the greatest value y has is 7.

The lowest point of the function is at point (-3, -8), so the least value of y is -8.

Range: [-8, 7]

Answer:

[7, -8]

Step-by-step explanation:

Hello!

The range of a graph is found from looking at the graph from top to bottom

The highest point is 7 and the lowest point is -8

The range would be [7, -8]

Hope this helps!

Answer:

9.333

Step-by-step explanation:

[tex]19. \: cross \: multiplying \\ 6a = 7 \times 8 \\ 6a = 56 \\ \frac{6a}{6} = \frac{56}{6 } \\ a =9.333[/tex]

25. Cross multiplying

nx1 =0.19x12

n=2.28

Answer:

[tex]\Large \boxed{{19. \ a \approx 9.33}} \\ \\ \Large \boxed{25. \ n=2.28}[/tex]

Step-by-step explanation:

(19)

[tex]\displaystyle \frac{6}{8} =\frac{7}{a}[/tex]

Cross multiply.

[tex](6)(a)= (7)(8)[/tex]

[tex]6a=56[/tex]

Divide both sides by 6.

[tex]\displaystyle a = \frac{56}{6}=\frac{28}{3}[/tex]

[tex]a \approx 9.33[/tex]

(25)

[tex]\displaystyle \frac{1}{0.19} =\frac{12}{n}[/tex]

Cross multiply.

[tex](1)(n)=(0.19)(12)[/tex]

[tex]n=2.28[/tex]

Answer: 144

Step-by-step explanation:

The system is:

[tex]\frac{x}{y}=2x + 4[/tex]

[tex]\frac{x-3}{y-3}=\frac{2}{3}[/tex] (y musn't be 3).

Solving for y in the first equation gives you:

[tex]y=\frac{x}{2x+4}[/tex]

Simplify the second equation to:

[tex]2(y-3)=3(x-3)[/tex]

Insert y you solved in first equation to second equation to get:

[tex]\frac{x}{x+2}-6=3x-3[/tex]

Further simplification gets you to quadratic equation:

[tex]x=(3x+3)(x+2)\implies x=3x^2+9x+6[/tex] [tex]3x^2+8x+6=0[/tex].

Solving quadratic equation using quadratic formula gives you two solutions of x in complex plane:

[tex]x_1=\boxed{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}[/tex]

[tex]x_2=\boxed{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}[/tex]

Insert the found x-es into first equation to find the y-s:

[tex]y_1=\boxed{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex]

[tex]y_2=\boxed{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex]

So there are two solutions (points) [tex]P_1(x_1,y_1),P_2(x_2,y_2)[/tex] both in [tex]\mathbb{C}[/tex] plane.

And the two fractions are:

[tex]\frac{-\frac{8}{6}+\frac{\sqrt{8}}{6}i}{-\frac{1}{2}+\frac{\sqrt{2}}{2}i}[/tex].

[tex]\frac{-\frac{8}{6}-\frac{\sqrt{8}}{6}i}{-\frac{1}{2}-\frac{\sqrt{2}}{2}i}[/tex].

Hope this helps.

Answer:

C. 140

Step-by-step explanation:

C = 1/2 ( 360° - 80°)

c = 1/2 * 280°

c = 140°

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Given

f(x) = | x - 4 | - 9, then

f(- 7) = | - 7 - 4 | - 9

        = | - 11 | - 9 ( absolute value returns a positive value )

        = 11 - 9

        = 2

Answer:

Fraction of the original board left = [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off [tex]\frac{1}{5}[/tex] of a wooden board.

Length of the board left = l - [tex](\frac{1}{5})l[/tex]

                                        = [tex](\frac{4}{5})l[/tex] feet

He saws off [tex]\frac{3}{4}th[/tex] of the remaining board,

Board left = [tex](\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})][/tex]

                = [tex]\frac{4}{5}l-\frac{3}{5}l[/tex]

                = [tex]\frac{1}{5}l[/tex] feet

He finally saws off [tex]\frac{1}{3}[/tex]rd of the remaining board.

Board left = [tex]\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l[/tex]

                = [tex](\frac{1}{5}-\frac{1}{15})l[/tex]

                = [tex]\frac{2}{15}l[/tex] feet

Fraction of the original board left = [tex]\frac{\frac{2}{15}l}{l}[/tex]

                                                       = [tex]\frac{2}{15}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{-12}{3} (-8+(-4)^{2} -6)+2[/tex]

-4(-8+16-6)+2

-4(2)+2

-8+2

-6

Answer:

already in order

Step-by-step explanation:

.00001, .0002, .003, .04, .5

Answer:

1^-5=1 2^-4 =6 3^-3=9 4^-2=8 5^-1=5

Step-by-step explanation:

All u have to do is focus on the negative sign!

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

     = GJ+(HK-HJ)

     = 4x+2+((6x-1)-x)

     = 4x+2+6x-1-x

     =  

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

      =9(4)+1

       =36+1

       =37

find GH and JK=?

Given:

GK=37

Formula:  

GH = GJ-HJ

      = 4x+2- x

      = 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

      = 3(4)+2

      = 12+2

      = 14

Formula:

JK= HK-HJ

    = 6x-1- x

    = 5x-1

put the value of x in the above equation:

     = 5(4)-1

     = 20-1

     =19

Answer:

2,999,875

Step-by-step explanation:

3,000,000m -35=2,999,875

Answer:

approximately 114.28 km/h

Step-by-step explanation:

Distance = rate * time (d = rt)

The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:

60 = 100t

t = 0.6 hours

The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.

Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:

220 = 110t

t = 2 hours

So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:

2 - 0.6 = 1.4 hours

And the distance from Tapah to Kuala Lumpur must be:

220 - 60 = 160 km

So the speed driven from Tapah to Kuala Lumpur must be:

160 = r * 1.4

r ≈ 114.28 km/h

Answer:

114.3 km/h

Step-by-step explanation:

We need to find te average speed from Tapah to Kuala Lumpur.

speed = distance/time

We need to find the distance and time from Tapah to Kuala Lumpur.

Ipoh to Tapah:

100 km/h over a distance of 60 km

Ipoh  to Kuala Lumpur:

110 km/h over a distance of 220 km

The total distance is from Ipoh to Kuala Lumpur.

speed = distance/time

distance = speed * time

time = distance/speed

time = 220 km / 110 km/h = 2 hours

Ipoh to Tapah.

time = distance/speed

time = 60 km / 100 km/h = 0.6 hour

Distance & time from Tapah to Kuala Lumpur:

220 km - 60 km = 160 km

2 hours - 0.6 hours = 1.4 hours

average speed from Tapah to Kuala Lumpur:

speed = distance/time = 160 km  /  1.4 hours

speed = 114.3 km/h

Answer: If the lengths are 3 1/2, 2, and 4 2/3, the volume is 32 2/3

Step-by-step explanation:

3 1/2 * 2 * 4 2/3 = 32 2/3.

G(X) = (X - 5)/X

Yes... The domain of G(X) can be any value, EXCEPT zero, because we cannot have a fraction with zero in the denominator

Formalizing the domain of this function: D = {X / X ≠ 0}

(for the sake of information, when X tends to zero, the function tends to +∞)

Answer:

4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given:

End points of a line segment are given as:

(2, 4) and (4, y)

Mid point of the line segment is: (3, 7).

To find:

Value of y = ?

Solution:

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then mid point of the line ([tex]x, y[/tex]) is given by The Mid Point Formula:

Mid point formula:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

Here,

[tex]x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y\\[/tex]

[tex]x =3\\y=7[/tex]

Putting all the value to find [tex]y[/tex]:

[tex]7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}[/tex]

So, the value of [tex]y[/tex] is 10.

Complete Question:

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?

Answer:

[tex]P(T) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

Number of Sides = 12

Required

Probability of obtaining a side greater than 10

We start by listing out the sample space;

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]

[tex]n(S) = 12[/tex]

Next, we list out digits greater than 10; Represent this with T

[tex]T = \{11,12\}[/tex]

[tex]n(T) = 2[/tex]

Probability of T is calculated as follows;

[tex]P(T) = \frac{n(T)}{n(S)}[/tex]

[tex]P(T) = \frac{2}{12}[/tex]

Divide the numerator and denominator by 2

[tex]P(T) = \frac{1}{6}[/tex]

Hence, the required probability is [tex]\frac{1}{6}[/tex]

Answer:

-10.50 is NOT an integer

Step-by-step explanation:

-10.50 is not an integer number, it includes half of the unit (0.50)

Answer:

HOPE it will be right... Good luck

Answer:

20 paitents

Step-by-step explanation:

In the word problem since x represents the number of hours all you have to do is plug in 5 for the x-value.

y = 4 (5)

once you do that, multiply 4 x 5 and you get 20.

1 hour = 60 minutes.

20 minutes / 60 minutes = 1/3 of an hour.

20 minutes x 3 = 60 minutes = 1 hour

15 km in 20 minutes x 3 = 45 km per hour

Speed = 45 km/hr.

Answer:

[tex]\huge\boxed{v = 45\ km/hr}[/tex]

Step-by-step explanation:

Given:

Time = t = 20 mins = 20/60 = 0.33 hrs

Distance = S = 15 km

Required:

Speed = v = ?

Formula:

v = S/t

Solution:

v = 15 / 0.33

v = 45 km/hr