Find the slope of the line that passes through (9, 1) and (6, 2).

Answer:

Substitution

Substitution

Elimination

Elimination

Substitution

Elimination

Explanations are given below

Step-by-step explanation:

Hello!

This is because you already have a solution for a variable, y, and you can simply plug in the value of y for the second equation

The same thing as above, you already have the value of y, and you can simply plug it into the second equation.

You should use elimination because you can simply eliminate the variable y by adding the two equations, as they have the same coefficient of 3.

Same as above, simply add the two equations to eliminate x, because they have the same coefficients of 7.

You have the value for y, so simply plug it into the other equation to solve for x.

You have -2x in both equations, and subtracting the equations will eliminate the variable x, and you can then solve for y.

The difference in volume of the two cubes is 702 cm3

Step-by-step explanation :

Given-

Now, The formula for finding volume of any cube is -

Therefore, substituting values. . .

Volume of one cube = [tex] {(9)}^{3} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: = 9 \times 9 \times 9[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 729 \: {cm}^{3} [/tex]

Similarly,

Volume of second cube [tex] = {(3)}^{3} [/tex]

[tex] \: \: \: \: \: \: \:\: \: \: \:\: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \:\: \: \: \: \: \: = 3 \times 3 \times 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \:\: \: = 27 \: {cm}^{3} [/tex]

Now,

Difference in volume of two cubes = Volume of 1st cube - Volume of 2nd cube

[tex] \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:= (729 - 27) {cm}^{3} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 702 \: {cm}^{3} [/tex]

Thus, the difference in volume of the two cubes comes out 702 cm3

Answer:

  x = 19

Step-by-step explanation:

The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.

  x-coefficient: -1/3

  inverse of x-coefficient = 1/(-1/3) = -3

Then you have ...

  [tex]-3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}[/tex]

Answer:

x=16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(8+24) * 8 = x^2

32*8 = x^2

256  =x^2

Take the square root of each side

sqrt(256) = sqrt(x^2)

16 = x

Answer:

32 : 3

Step-by-step explanation:

Answer- 32 : 3

Divide Both Sides By 20

Answer:

D

Step-by-step explanation:

Its saying a line which is not two lines. Parallel lines contain 2 lines not 1.

The equation is (6 - x)² + 2 = -10.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

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Answer:

the answer is x=0 and x=4

Answer:

86 Degrees

Step-by-step explanation:

First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.

As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.

Now we are given two equations for the measure of each angle.

measure of A = 6x+10

measure of B = 4x+30

We simply plug this into the first equation I've stated above.

6x+10 + 4x+30 = 180

Simplify

10x+40 = 180
10x = 140
x = 14

Now that we have X, we plug this into the measure B equation to get the measure.

4x + 30
(Plug 14)
4(14) + 30

56 + 30

86 Degrees

Answer:

nahh its says 10 points

Step-by-step explanation:

Answer:

idek wut that means but it says 10 not 20

Answer:

So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)

Answer:

D?

sorry if i am incorrect.

Answer:

$7897.5

Step-by-step explanation:

..............

Answer:

2000+800+40+6+0.07+0.009

Step-by-step explanation:

Maybe?

The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

The number is written in the form  [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

We have to write the expanded notation for 2,846.079.

The expanded form of the given term is;

2,846.079 = 2000+800+40+6+0.07+0.009

Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

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Answer: 5/9 of an apple

Step-by-step explanation:

Since there are more people than apples, you know that the aples are going to be cut and every person will get less than one apple. You just divide the 5 apples to the 9 people. The simple way is putting the numbers and making it a fraction. In this case, 5/9. 5 apples as the numerator and 9 people as the demoninator.

To answer wait you put into the big, it would be .28 since when making a percentage a decimal you move the decimal point to the left twice. There is always an invisible decimal after a whole number (ex. 28.0). And to find out what 28% of 140 is you simply do .28 x 140 to find that, which is 39.2.

Hope this helps!

Answer:

3

Step-by-step explanation:

9 - 3 = 6,

6 - 2 = 4,

4 - 1 = 3

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

Determining the area of shape 1 (Rectangle 1):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

Determining the area of shape 2 (Rectangle 2):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

Determining the area of the figure:

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

Answer:

Whats the equation ?

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Reflection of the ocean, blue

Answer: b. x>5

Step-by-step explanation:

Answer:

Radius = 8in

Step-by-step explanation:

[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]

Where,

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

[tex] \therefore [/tex] The value of radius is 8 inches

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]

Answer:

[tex]b = 24[/tex]

Step-by-step explanation:

Step 1:  Subtract 12 from both sides

[tex]\frac{b}{6} + 12 - 12 = 16 - 12[/tex]

[tex]\frac{b}{6} = 4[/tex]

Step 2:  Multiply both sides by 6

[tex]\frac{b}{6} * 6 = 4 * 6[/tex]

[tex]b = 24[/tex]

Answer: [tex]b = 24[/tex]

The gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

Given that:

Here we assume that the term GMC is referring to gross margin cost.

Let this gross margin cost (GMC) $40 be P% of the original cost of the item $150.

Then, we get:

[tex]p = \dfrac{40}{150} \times 100 \approx 26.67 \text{(in percentage)}[/tex]

Thus, the gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

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Answer:

- 0.2588

Step-by-step explanation:

Theory: sin(a - b) = sin(a)*cos(b) - cos(a)*sin(b)

In this case  a stands for 10 AND b stands for 25

Hence:

sin10cos25-cos10sin25 = sin (10 - 25) = sin (-15) = - sin(15) = - 0.2588

Answer:

4x+15

Step-by-step explanation:

divisor- x-3

dividend-4x^2+3x+2

to find the quotient,

dividend=(disivor X quotient)+ Reminder

4x^2+3x+2=(x-3 x 4x) + (15x+2)

4x^2 +3x+2= (x-3 x 4x + 15) + (47)

so the quotient would be 4x+15