Is 5 + 3(1 - x) equivalent to 8 - 8x?

Answer:

  17

Step-by-step explanation:

The geometry program that drew the circle through the three given points wrote this equation for the circle:

  (x -6)^2 +(y -11)^2 = 130

Compared to the standard form equation, ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r

we can see that the center is (h, k) = (6, 11).

The sum h+k is 6+11 = 17.

__

Additional comment

The center is at the point of intersection of the perpendicular bisectors of chords of the circle.

Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.

We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is

  y -1 = 2(x -1)

For x=6, the point of intersection of the chord bisectors is ...

  y -1 = 2(6 -1) = 10

  y = 11

The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.

Answer: 432 sq ft.

Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.

Answer: 100 grams

Step-by-step explanation:

Mass remains constant. So 100 grams of water will be 100 grams of water vapor

Answer:

v > - 78

Step-by-step explanation:

Version 1.

   v

-----------  < 92

-6 + 79

    v

------------  <  92

    73

    v

------------  <  92(73)

    73(73)

v < 6716

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

Version 2

    v

------------ + 79 <  92

    -6       -79      -79

        v

(-) ------------  <  13(6)

        6(6)

-v < 78

÷-1   ÷-1

v > -78

I hope this helps!

Answer:

Step-by-step explanation:

a)

The total amount coffee beans

b)

The total amount of market price

Answer:

a)   750a + 1200r = 1000000

b)   1065a + 876r = 1000000

Step-by-step explanation:

Define the variables:

Part (a)

Given:

If the plantation yields 1,000,000 kg of coffee:

⇒ 750a + 1200r = 1000000

Part (b)

Given:

If the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:

⇒ $1.42 × 750 = $1065 per hectare

If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:

⇒ $0.73 × 1200 = $876 per hectare

Therefore, if the plantation produces coffee worth $1,000,000:

⇒ 1065a + 876r = 1000000

The equation solved for w is:

w = A/l

The correct option is A.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Starting with the equation:

A/l = lw/l

We can simplify it by multiplying both sides by l:

A = lw

To solve for w, we need to isolate it on one side of the equation.

We can do this by dividing both sides by l:

A/l = w

Therefore, the required equation is A/l = w.

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its b i know

Step-by-step explanation:

Answer: 5/3

Step-by-step explanation:

1. 3/x = 5/y

2. Cross multiply

3y = 5x

3. Dividing the sides by 3

y = 5x/3

4. Dividing the sides by x

y/x = 5/3

yes it is true and second is false

Answer:

6x³ - 15x² - 1

3x divided by 3x is 1

So, here we are to simplify the polynomial :

[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]

We can simplify it as,

[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]

Some points to know :

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:x=4 (0,0)

Step-by-step explanation:

Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.

Answer:

Step-by-step explanation:

(i)

PQRS is a parallelogram (given)

      ∴ QT = TS (Diagonals of a parallelogram bisects each other)

also,   QT = RM (given)

      ∴TS = RM

PQRS is a parallelogram,

     ∴RT = PT (Diagonals of a parallelogram bisects each other)

also, SM = PT (given)

    ∴RT = SM

TS = RM

RT = SM

∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)

(ii)

QP // RS (Opposite sides of a parallelogram are parallel)

∴ ∡RQP = ∡NRS (Corresponding ∡s)

RTSM is a parallelogram(Proved above)

∴MS // RT (Opposite sides of a parallelogram are parallel)

∴NS//RP

∴∡RNS = ∡ QRP (Corresponding ∡s)

in ΔPQR and Δ NSR,

QP = RS (Opposite sides of a parallelogram are equal)

∡RQP = ∡NRS (Proved above)

∡RNS = ∡ QRP(Proved above)

∴ ΔPQR≡ΔSRN (AAS)

Corresponding sides of ≡ Δs are equal, ∴QR = RN

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation:

                       New

Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8

The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.

Let l is the length and b is the breadth of the rectangle.

then the area of the rectangle is ab.

Given One side of a rectangle is 7 inches longer than another side.

then shorter side length is x and the large side length is 7+x.

then the area of the original rectangle is x(x+7)

Now calculate the sides of the new rectangle.

longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x

The shorter side increases by 2 inches then x+2.

So new rectangle area is (x+4)(x+2)

Both rectangle area is equal then

(x+4)(x+2) = x(x+7)

x² +2x+4x+8 = x²+7x

x²+6x+8 = x²+7x

x²-x²+7x-6x = 8

x = 8

Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.

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Answer:

7.8

Step-by-step explanation:

3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8

Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pythagorean Theorem:

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

So:

[tex]9^2+13^2=c^2[/tex]

[tex]250 = c^2[/tex]

[tex]\sqrt{250} = \sqrt{c^2}[/tex]

[tex]c = 15.8113883[/tex]

OR (rounded)

[tex]c = 15.8[/tex]

It's a geometric sequence

Formula:&

[tex]\\ \sf\longrightarrow a(n)[/tex]

[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]

[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]

Answer:

Step-by-step explanation:

49

Answer:

The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)

Step-by-step explanation:

Answer:

Formula of Mean= Efx/n

Formula of Median=n+1/2

I think it will help you

Answer:

140 child tickets were sold

Step-by-step explanation:

a = number of adult tickets

c = number of child tickets

a+c = 350

6.50 c + 8.50a = 2695

Multiply the first equation by -8.50 together

-8.50c  -8.50c =-2975

Add this to the second equation to eliminate a

-8.50c  -8.50c =-2975

6.50 c + 8.50a = 2695

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

-2c   + 0a = -280

Divide by -2

-2c/-2 = -280/-2

c = 140

Answer: 96

Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.

Answer:

Philadelphia

Step-by-step explanation:

Philadelphia

San Diego

Houston

Phoenix

Explanation:

The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.

The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).

Only Philadelphia experiences population decline during this time period.

Answer:

D, assuming that the function continues past the line shown

Step-by-step explanation:

There is no reason that the X is ending on either side. There should be arrows on both ends of the graphed function though.

Answer:

Rational:2.1,2.2

Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]

Step-by-step explanation:

Trial and error

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

Let's use section formula ~

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]

And since mid point divides a line segment Into two equal parts, m : n = 1 : 1

so, take m = n = 1

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]

Now, let's find y - coordinate ~

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]

So, coordinates of midpoint is ~

[tex]\qquad \sf  \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]

Answer:

Given:

< or > = open circle

≤ or ≥ = closed circle

So we are looking for:

Therefore, the attached is the correct answer.