What is the slope of the line between (3, -4) and (-2, 1)?

Answers

Answer 1

Answer: m=(y2-y1)
(x2-x1) m= rise over run. That is the correct formula to find your slope.

Related Questions

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If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height?

Answers

$\bf \textit{volume of a rectangular prism}\n\n V=Lwh~~ \begin{cases} L=length\n w=width\n h=height\n \cline{1-1} V=6x^2-2x+8\n \stackrel{base}{Lw}=2x-4 \end{cases}\implies 6x^2-2x+8=(2x-4)h \n\n\n \cfrac{6x^2-2x+8}{2x-4}=h\implies \cfrac{\begin{matrix} 2 \n[-0.7em]\cline{1-1}\n[-5pt]\end{matrix}~~(3x^2-x+4)}{\begin{matrix} 2 \n[-0.7em]\cline{1-1}\n[-5pt]\end{matrix}~~(x-2)}=h\implies \cfrac{3x^2-x+4}{x-2}=h$

164,215 + 216,088 round to the nearest ten thousand

Answers

38000 is 380303 rounded to the nearest ten thousand

1) How many ways can six books be arranged on one shelf? a) 21 b) 120 c) 360 d) 720 2) There are eight girls competing in an ice-skating competition. In how many ways can they finish in first, second, and third place? a) 336 b) 1,680 c) 2,016 d) 40,320 3)How many ways can a president and vice president be selected from a class of 12? a) 23 b) 72 c) 132. d) 1,320 4)How many ways can seven students line up for a class picture? a) 5,040 b) 210 c) 28 d) 7

Answers

1 ) 6 · 5 · 4 · 3 · 2 · 1 = 720
Answer: D ) 720
2 ) 8 · 7 · 6 = 336
Answer: A ) 336
3 ) 12 · 11 = 132
Answer: C ) 132
4 ) 7 · 6 · 5 · 4 · 3 · 2 · 1 = 5,040
Answer: A ) 5,040

Answer: The correct options are

(d) 720.

(a) 336.

(c) 132.

(a) 5040.

Step-by-step explanation: The calculations are as follows:

(1) The number of ways in which six books be arranged on one shelf is given by

$6!=6*5*4*3*2*1=720.$

So, the total number of ways is 720.

Option (d) is CORRECT.

(2) Given that there are 8 girls competing in an ice-skating competition.

So, the number of ways in which they can finish in first, second, and third place is given by

$8* 7* 6=336.$

Thus, the total number of ways is 336.

Option (a) is CORRECT.

(3) The number of ways in which a president and vice president can be selected from a class of 12 is given by

$12*11=132.$

Thus, the total number of ways is 132.

Option (c) is CORRECT.

(4) The number of ways in which 7 students can line up for a class picture is given by

$7!=7*6*5*4*3*2*1=5040.$

Thus, the required number of ways is 5040.

Option (a) is CORRECT.

_______ health insurance coverage pays for at least part of hospital costs and fees.

Answers

Basic health insurance covers the pays.

lucas and erick are factoring the polynomial 12x3 – 6x2 8x – 4. lucas groups the polynomial (12x3 8x) (–6x2 – 4) to factor. erick groups the polynomial (12x3 – 6x2) (8x – 4) to factor. who correctly grouped the terms to factor? explain.

Answers

Answer:

Both the students were correct.

Step-by-step explanation:

Given : The polynomial is - $12 x^3 - 6 x^2 + 8 x - 4$

To find : Who correctly grouped the terms to factor.

Lucas group the polynomial - $( 12 x^3 + 8 x ) + ( - 6 x^2 - 4 )$

Now, we solve the Lucas polynomial

$(12x^3+8x) + (-6x^2-4)= 4x(3x^2+2 )-2(3x^2+2)$

$(12x^3+8x) + (-6x^2-4)= (3x^2+2 )(4x-2)$

$(12x^3+8x) + (-6x^2-4)= 2(3x^2+2)(2x-1)$

Erick group the polynomial - $(12x^3-6x^2) + (8x- 4)$

Now, we solve the Erick polynomial

$(12x^3-6x^2) + (8x- 4)=6x^2(2x-1)+4(2x-1)$

$(12x^3-6x^2) + (8x- 4)=(6x^2+4)(2x-1)$

$(12x^3-6x^2) + (8x- 4)=2(3x^2+2)(2x-1)$

The factors of Lucas and Erick are same.

Each grouping leads to the same result.

Therefore, Both students are correct.

Answer:

Sample Response: Both students are correct because polynomials can be grouped in different ways to factor. Both ways result in a common binomial factor between the groups. Using the distributive property , this common binomial term can be factored out. Each grouping results in the same two binomial factors.

What did you include in your response? Check all that apply.

Polynomials can be grouped differently to factor.

Each way results in common binomials.

Each can be factored as a product of prime polynomials.

Step-by-step explanation:

0.34343434..
is it rational or irrational

Answers

Rational. Since it’s reappearing multiple times in a pattern, and not random numbers bunched together

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