What is the slope of the line that passes through the points (4,7) and (5,8)?
answer in simplest form?

Answer:

x = 1/6

Step-by-step explanation:

"solve for x" would be better and clearer than "please answer."

We start the solution by subtracing 3x from both sides, obtaining

4 = 6x + 3

and then isolate the 3x term by subtracting 3 rom both sides:

6x = 1

Finally we divide both sides of this result by 6, obtaining

x = 1/6     This is the "answer" to the problem "solve 3x + 4 = 9x + 3 for x."

Answer:

46

Step-by-step explanation:

[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]

Answer:

-343

Step-by-step explanation:

(-7)(-7)=49

(49)(-7)= -343

Answer:

no, that is not an infinite solution

Step-by-step explanation:

an infinite solution is where a number equals a number and where x gets crossed out. the answer listed here is a solution :)

Answer:

7/11 as a fraction if your talking about a fraction

Answer:

Step-by-step explanation:

I need help too

Answer:

x=172

Step-by-step explanation:

I hope this helps you

Answer:

8.5

Step-by-step explanation:

Answer:

the answer is its either 1/15 or 5/3=1 2/3

Step-by-step explanation:

Answer:

(-0.75, -3.25) and (4.125, -2.125)

Step-by-step explanation:

Let the town, Thayer = point A(-4, -4)

Town Purdy = point D(9, -1).

Let B and C represent the two rest stops that divides the highway (AD) into 3 equal parts, namely: AB = BC = CD.

Distance of point B from A to D = ⅓ of AD.

Point C = the midpoint of point B and D.

First, using the formula for internal division, let's find the coordinates of point B:

Internal division to find the coordinates of point B is given as:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-4, -4) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

[tex] m = 1, n = 3 [/tex]

Plug in the necessary values into the formula stated above to solve for x and y of point B:

[tex] x = \frac{1*9 + 3*(-4)}{1 + 3} [/tex]

[tex] x = \frac{9 - 12}{4} [/tex]

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

[tex] x = -\frac{-3}{4} = 0.75 [/tex]

[tex] y = \frac{1*(-1) + 3*(-4)}{m + n} [/tex]

[tex] y = \frac{-1 - 12}{1 + 3} [/tex]

[tex] y = \frac{-13}{4} [/tex]

[tex] y = -3.25 [/tex]

The coordinates of point B = (-0.75, -3.25)

Next, find the coordinates of point C, which is the midpoint of B(-0.75, -3.25) and D(9, -1) using the midpoint formula.

Midpoint (C) of BC, for B(-0.75, -3.25) and D(9, -1)  is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] B(-0.75, -3.25) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

Thus:

[tex] C(\frac{-0.75 + 9}{2}, \frac{-3.25 + (-1)}{2}) [/tex]

[tex] C(\frac{8.25}{2}, \frac{-4.25}{2}) [/tex]

[tex] C(4.125, -2.125) [/tex]

The rest stops should be built at (-0.75, -3.25) and (4.125, -2.125) in the coordinate plane.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2(4 + 6j)}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{2 \times 4 + 2 \times 6j}}[/tex]

[tex] \longrightarrow{ \sf{8 + 12j}}[/tex]

Hope I helped!

Best regards! :D

Answer:

3 1/2 inches

Answer:

0.00009 is the answer.

Step-by-step explanation:

The decimal would be 9. if 9 was a decimal, since -6 is your exponent you would move 6 places to the left with left being negative and right being positive, therefore you would get 0.00009.

The required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The given expression,
9 times 10 Superscript negative 5  = 9 × 10⁻⁵
= 9 / 10⁵
= 9 / 100000
= 0.00009

Thus, the required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

Learn more about the number system here:

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Answer:

There Is No Value For The Digit 0

Step-by-step explanation:

Answer:

[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]

Step-by-step explanation:

We need to find the derivative [tex]r'(t)[/tex] of the vector function :

[tex]r(t)=(tsin(6t),t^{2},tcos(7t))[/tex]

In order to find [tex]r'(t)[/tex], we are going to differentiate each of its components ⇒

We can write the following ⇒

[tex]r(t)=(f(t),g(t),h(t))=(tsin(6t),t^{2},tcos(7t))[/tex] ⇒

[tex]f(t)=tsin(6t)\\g(t)=t^{2}\\h(t)=tcos(7t)[/tex]

Let's differentiate each function to obtain [tex]r'(t)[/tex] :

[tex]f(t)=tsin(6t)[/tex] ⇒ [tex]f'(t)=1.sin(6t)+t.cos(6t).6=sin(6t)+6tcos(6t)[/tex] ⇒

[tex]f'(t)=sin(6t)+6tcos(6t)[/tex]

Now with [tex]g(t)[/tex] :

[tex]g(t)=t^{2}[/tex] ⇒

[tex]g'(t)=2t[/tex]

With [tex]h(t)[/tex] :

[tex]h(t)=tcos(7t)[/tex] ⇒ [tex]h'(t)=1.cos(7t)+t[-sin(7t)].7[/tex] ⇒

[tex]h'(t)=cos(7t)-7tsin(7t)[/tex]

Finally we need to complete [tex]r'(t)=(f'(t),g'(t),h'(t))[/tex] with its components :

[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]

Answer:

c

Step-by-step explanation:

Answer:

2x(3y-4x)

Step-by-step explanation:

Answer:

16X-6XY

Step-by-step explanation:

8X2=16X -6XY

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M ( 4 , 0) and L ( - 2 , - 3)

The distance between them is

[tex] |ML| = \sqrt{( {4 + 2})^{2} +( {0 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {3}^{2} } \\ = \sqrt{36 + 9} \: \: \\ = \sqrt{45 } \: \: \: \: \: \: \: \: \: \: \\ = 3 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 6.7082039[/tex]

We have the final answer as

Hope this helps you

Answer:

$-118

Step-by-step explanation:

She owes the bank $64. She then paid the bank $25 because she owes $64. She has only paid $25 out of the $64 that she owes so you would subtract 25 from 64 and you would get 39. This means that she STILL owes the bank $39. She then charges, or uses, $79 which brought the amount she owes back up. So she used to owe $64 but then she paid $25 of the $64. She has $39 left to pay, but then she used $79 so you would add 79 and 39 because those are the two amounts of money that she owes. Integer wise, the numbers 79 and 39 would become -39 and -79. -79 and -39 added together is $-118. So now the balance, or amount she owes, is $-118. I hope this made sense.

Answer:

x=-2

Step-by-step explanation:

First, Distribute the 2 into the parenthesis.

2(3x+8)=4

6x+16=4

Simplify

6x+16=4

    -16  -16

6x/6= -12/6

x= -2

Hope this helps!

Answer:

16

Step-by-step explanation:

(17-9)x (3x2) /3

(17-9) = 8

(3x2) = 6

(8)(6)/3

(8x6) = 48

48/3 = 16

16 is your answer

Given :

An infinite series :

[tex]a_1=26[/tex]

[tex]r=\dfrac{1}{2}[/tex]

To Find :

The sum of the infinite series .

Solution :

The sum of infinite series of G.P is given by :

[tex]S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52[/tex]

Therefore , the sum of the infinite series is 52 .

Hence , this is the required solution .

Answer:

Hi there!

Your answer is;

There were 94 big hats and 282 small hats sold!

Step-by-step explanation:

Big hats= b

Small hats= 3b

3b+ b = 376

4b = 376

/4

b= 94

3(94) = 282

Double check!

94+282= 376

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex], then

[tex]\frac{7^{4} }{7^{-3} }[/tex] = [tex]7^{4-(-3)}[/tex]

His mistake was in subtracting 3 rather than - 3

Andre's mistake was that he was not subtracting the power correctly.

The given expression is,

[tex]\frac{7^4}{7^{-3}}[/tex]

As we know according to the exponent law:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Now, applying the above law into the given expression we get,

[tex]\frac{7^4}{7^{-3}}=7^{4-(-3)}\\ =7^{4+3}\\=7^7[/tex]

Hence, Andre's mistake was that he was not subtracting the power correctly.

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Answer:

basicly each side equals 2.25 thats the only possible way i see it but im kinda dumb

Step-by-step explanation:

Answer:

Mean- 5

Median- 6

Mode- 6

Step-by-step explanation:

1. Place the numbers in order from smallest to biggest.

0,2,3,4,5,6,6,6,7,8,8

Finding the mean (average)- add all the numbers in thd data set together. Which would be 55. Then, you would divide that number by the number of the numbers in the data set. (11 numbers.) 55/11. 55 divided by 11 is 5, so that is your answer.

Finding the median- This is why we put the numbers in order. We are finding the number that is directly in the middle of the numbers. Mark one on each side until you get to the number in the middle. In this case, the median number will be 6.

Finding the mode- This one is easy. It's simply the number that repeats itself the most. In this case it would be 6 because it repeats itself 3 times.

Answer:

the first one is 2.3

Step-by-step explanation:

Answer:

tain, duc, viv, graph

Step-by-step explanation:

Answer:

tain, duc, viv, graph Also as 3, 3, 2, 3

Step-by-step explanation: