Complete the point-slope equation of the line through (2,3)(7,4). Use exact numbers. y-4=


Please help me, I would really appreciate it!

Step-by-step explanation:

i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]

ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]

iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]

[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]

Answer:

x=6 square root 3 y=9

Step-by-step explanation:

x= 3 square root 3 * 2

y=3 square root 3 times square root 3

The Selling Price of The Book before discount will be 20

Answer: I think it is C

Step-by-step explanation:

There is no answer because A can be many solutions, B is x = -25, you just cannot solve C, and D is y = 7/6

If one Angle is = 30

And the other two angles are equal

Given: x = l

ATQ

⇒30+x+l= 180

⇒x + x = 180-30

⇒2x = 150

⇒x = 150/2

⇒x = 75

Therefore x = 75

And the angles are 30, 75 and 75

Must click thanks and mark brainliest

Step-by-step explanation:

hope it helps u..........

and pls mark as brainliat ans

Answer:

False

Step-by-step explanation:

the answer is false because

year 1 to 2 is $18

year 2 to 3 is $17

year 3 to 4 is $18

year 4 to 5 is $17

false because simple interest always has the same money not a pattern

Answer:

(a) {5}

(b) {1, 2, 5, 6}

(c) {1, 2, 5, 6}

Answer:

Step-by-step explanation:

We will use the set notation to solve this question.

let n(U) be the total number of students surveyed = 100

n(M) be the number of student that took math = 34

n(E) be the number of student that took English = 59

n(M∩E) be the number of student that took both classes= 12

n(M∪E)' be the number of student that took neither class = ?

Using the formula n(U) = n(M∪E) + n(M∪E)'

n(M∪E)' = n(U)-n(M∪E)

Before we can get the number of student that took neither class i.e n(M∪E)'  we need to  get n(M∪E).

n(M∪E) = n(M)+n(E)- n(M∩E)

n(M∪E) = 34+59-12

n(M∪E)  = 81

Since n(M∪E)' = n(U)-n(M∪E);

n(M∪E)' = 100-81

n(M∪E)' = 19

Hence 19 students took neither class as a freshmen.

Answer:

A

   The  correct option is B

B

   [tex]t = 0.6093[/tex]

C

 [tex]p-value = 0.27116[/tex]

D

The  correct option is  D

Step-by-step explanation:

From the question we are told that

    The  sample size is  [tex]n = 232[/tex]

    The  number that developed  nausea  is X =  50

    The population proportion is  p  =  0.20  

The  null hypothesis is   [tex]H_o : p = 0.20[/tex]

The  alternative hypothesis is  [tex]H_a : p > 0.20[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\r p = \frac{50}{232}[/tex]

     [tex]\r p = 0.216[/tex]

Generally the test statistics is mathematically represented as

 =>           [tex]t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }[/tex]

=>           [tex]t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }[/tex]

=>        [tex]t = 0.6093[/tex]

The  p-value obtained from the z-table is

       [tex]p-value = P(Z > 0.6093) = 0.27116[/tex]

  Given that the  [tex]p-value > \alpha[/tex]  then we fail to reject the null hypothesis

Answer:

Step-by-step explanation:

Answer:

2,044

Step-by-step explanation:

S9=G1 (1r^n)/1-r

G9=G1r^8, r=2

S9=(4)(-511)/-1=2,044

Answer: 2,044

Step-by-step explanation:

I just took the quiz!

Answer:

5/12

Step-by-step explanation:

3/4-1/3=

9/12-4/12=

5/12

Answer:

The maximum height of the volleyball is 12.25 feet.

Step-by-step explanation:

The height of the volleyball, h(t), is modeled by this equation, where t represents the  time, in seconds, after that ball was set :

[tex]h(t)=-16t^2+20t+6[/tex] ....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put [tex]\dfrac{dh}{dt}=0[/tex]

Now put t = 0.625 in equation (1)

[tex]h(t)=-16(0.625)^2+20(0.625)+6\\\\h(t)=12.25\ \text{feet}[/tex]

So, the maximum height of the volleyball is 12.25 feet.

Answer:

The correct answer is B. 12.25 feet.

Step-by-step explanation:

I got it right on the Edmentum test.

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1   ==>   z = -4x + 2y - 1

3x - 2y + 2z = 1   ==>   z = (1 - 3x + 2y)/2

==>   -4x + 2y - 1 = (1 - 3x + 2y)/2

==>   -8x + 4y - 2 = 1 - 3x + 2y

==>   -5x + 2y = 3

==>   y = (3 + 5x)/2

==>   z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

Answer:

138600 arrangements

Step-by-step explanation:

Let n = 11

The different arrangements Jean Paul can make = n!/(4!)(3!)(2!)

Hence, 11!/(4!)(3!)(2!) = 1663200/12 = 138600

Answer:

16,807

Step-by-step explanation:

Answer:

C. $750

Step-by-step explanation:

The amount of money to be spent monthly on food = percentage covered by food in the circle ÷ 100% × total monthly income

= [tex] \frac{15}{100}*5000 [/tex]

[tex] = \frac{15}{1}*50 [/tex]

[tex] 15*50 = 750 [/tex]

Amount of money spent each month by the Masims is $750.

Step-by-step explanation:

Consider the following rules.

even + odd = odd

even - odd = odd

even × odd = even

even ÷ odd = even (if divisible)

Now for the two consectives terms...

One will surely be even and the other, odd.

So using the rule

Their product will always be odd

Hope it helps....

BRAINLIEST PRETTY PLEASE!!

The product of the functions f(x) and g(x) will be negative 2 times (27x² + 24x + 5).

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 6x + 2 and g(x) = -9x - 5

The product of the functions f(x) and g(x), then we have

⇒ f(x) × g(x)

⇒ (6x + 2) × (-9x - 5)

Simplify the expression, then we have

⇒ (6x + 2) × (-9x - 5)

⇒ 6x(-9x - 5) + 2(-9x - 5)

⇒ -54x² - 30x - 18x - 10

⇒ -(54x² + 48x + 10)

⇒ -2(27x² + 24x + 5)

The product of the functions f(x) and g(x) will be negative 2 times (27x² + 24x + 5).

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

x = -3±sqrt( 5)

Step-by-step explanation:

(x + 3)^2-5=0

Add 5 to each side

(x + 3)^2-5+5=0+5

(x + 3)^2 = 5

Take the square root of each side

sqrt((x + 3)^2 )=±sqrt( 5)

x+3 = ±sqrt( 5)

Subtract 3 from each side

x+3-3 = -3±sqrt( 5)

x = -3±sqrt( 5)

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

The length of a rectangle six times its width which is written as

l = 6w

Area = 150cm²

Substitute these values into the formula for finding the area

That's

150 = 6w²

Divide both sides by 6

w² = 25

Find the square root of both sides

width = 5cm

Substitute this value into l = 6w

That's

l = 6(5)

length = 30cm

So the perimeter of the rectangle is

2(30) + 2(5)

= 60 + 10

Hope this helps you

Answer:

It is undefined.

Step-by-step explanation:

Let's take a look at the first equation- if we simplify and move the terms, it becomes sqrt of 6 = 0, which results in an undefined value of x. The second equation works with x=0 but not the first so the value of x is undefined.

Answer:

B) 3

Step-by-step explanation:

4+5+1/3=10/3=3.333~3

Answer:

B) 3

Step-by-step explanation:  

Answer:

No solution

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write out systems of equations

-x + 3y = 3

x - 3y = 3

Step 2: Rewrite equations into slope-intercept form

3y = 3 + x

y = 1 + x/3

-3y = 3 - x

y = -1 + x/3

Step 3: Rewrite systems of equations

y = x/3 + 1

y = x/3 - 1

Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.

Answer:

[tex]\frac{5}{24}[/tex]

Step-by-step explanation:

If we have the division statement [tex]\frac{5}{6} \div \frac{4}{1}[/tex], we can multiply by the reciprocal and find the quotient.

[tex]\frac{5}{6} \cdot \frac{1}{4} = \frac{5}{24}[/tex].

Hope this helped!

Answer:

5/24

Step-by-step explanation:

Because the 5 is being divided by both the 6 and the 4, you just multiply these two and get 24. So it is 5 over 24.

Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?

P: Principal, the amount you need to put in the CD

r: interest rate

t: time

A: total amount

________________________________

P(1+rt) = A

P(1+0.023×4) = 500

P(0.092) = 500

P = 500/0.092 = 5434.78

[Hence, you need $5434.78 to put in this CD to have the money for your trip ]