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Pavlova-9 [17]
3 years ago
11

A line passes through the points (1,2) and (4,4). What is the slope of the line

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0

Answer:

Your answer is B-2/3

Step-by-step explanation:

ANEK [815]3 years ago
4 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, 2) and (4, 4).

Substitute:

m=\dfrac{4-2}{4-1}=\dfrac{2}{3}

Answer: B) 2/3

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Juliette [100K]

Answer:y =ax² + bx +c

1) Point (0,7)

7 = a*0² +b*0 +c

c = 7

y=ax² + bx + 7

2) Point (1,4)

4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------> a+b= - 3

3) Point (2, 5)

5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ----> -1=2a + b

4)  a+b= - 3, ----> b= -3 - a (substitute in the second equation)

    2a+b= -1

2a - 3 - a = -1, ----> a - 3 = -1, a =2

5) a+b= - 3

    2 + b = -3

b = -5

y=2x² - 5x + 7

Read more on Brainly.com - brainly.com/question/10543130#readmore

Step-by-step explanation:

4 0
3 years ago
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Is (9, -1) a solution of x + 5y = 4?
aev [14]

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Step-by-step explanation:

5 0
4 years ago
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Determine the volume of the solid that lies between planes perpendicular to the x-axis at x=0 and x=4. The cross sections perpen
OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

- The diagonals rum from curves y = sqrt(x)  to  y = -sqrt(x)

Find:

Determine the Volume bounded.

Solution:

- First we will find the projected area of the solid on the x = 0 plane.

                              A(x) = 0.5*(diagonal)^2

- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,

                              A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

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- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

                              V = integral(A(x)).dx

                              V = integral(2*x).dx

                               V = x^2

- Evaluate limits 0 < x < 4:

                               V= 16 - 0 = 16 unit^3

3 0
3 years ago
A rectangle has an area of (12m-30n) square units. Its width is 6 units. Factor the expression for the area to find an expressio
garik1379 [7]

Answer: 2m - 5n

<u>Explanation:</u>

Using long division

  <u>    2m - 5n  </u>

6 ) 12m - 30n


width*length = area

6(2m - 5n) = 12m - 30n


5 0
4 years ago
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