All categories

3 years ago

What is the slope of the line shown in the graph?

Mathematics

2 answers:

9966 [12]3 years ago

8 0

Answer: −3 over 2

Step-by-step explanation:

Formula to find the slope of a line that passing through two points (a,b) and (c,d) is given by :-

$Slope=\dfrac{d-b}{c-a}$

The given points are : (-3, 2) and (-1,-1)

Then, the slope of the line passing through theses points = $\dfrac{-1-2}{-1-(-3)}$

$=\dfrac{-3}{-1+3}$ [∵ (-)(-) = (+)]

$=\dfrac{-3}{2}$

Hence, the slope of the line shown in the graph $=\dfrac{-3}{2}$

Hence, the correct answer is −3 over 2.

Flura [38]3 years ago

3 0

Slope is -1/2 hope so that it's corrected

You might be interested in

An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 g

Elis [28]

Answer: 8

Step-by-step explanation:

3 0

3 years ago

54 divided by 2,808 the answer an worked out

NemiM [27]

0.019 is the correct answer. I hope this is the answer you are looking for! :)

4 0

3 years ago

Bronson builds a rectangular deck for his friend. the width of the deck is 29 feet. the perimeter of the deck must be at least 1

olga_2 [115]

Answer: a) Greater than or equal to 38 feet b)Since there is no restriction on the perimeter there exists many possible values for the length of the deck. Explanation: Given that the width of the deck is 29 ft. and the perimeter of the deck is at least 134 ft. 134 = 2(length + width) 134 = (2 x length) + (2 x 29) 134 = (2 x length) + 58 2 x length = 134 - 58 2 x length = 76 length = 76 / 2 length = 38 ft Thus, the inequality will be: a)Length â‰Ą 38 ft b)since there is no restriction on the perimeter there exists many possible values for length of deck.

4 0

4 years ago

How do you simplify this

Dafna11 [192]

Top:

x / (x + 1) - 1 / x

= [x^2 - (x +1)] / x(x+1)

= (x^2 - x - 1 ) / x (x+1)

Bottom:

x / (x + 1) + 1 / x

= [x^2 + (x +1)] / x(x+1)

= (x^2 + x + 1 ) / x (x+1)

Now you have:

(x^2 - x - 1 ) / x (x+1)

----------------------------

(x^2 + x + 1 ) / x (x+1)

= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )

= (x^2 - x - 1 ) /(x^2 + x + 1 )

Answer:

x^2 - x - 1

---------------------

x^2 + x + 1

7 0

3 years ago

PLEASE HELP divide. (3x-2)(x-4)-(x-4)(6-5x) /(4-x)(8x-1)

8_murik_8 [283]

Answer:

x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

Step-by-step explanation:

Solve for x:

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = 0

Simplify and substitute y = 4 - x.

(x - 4) (3 x - 2) - ((6 - 5 x) (x - 4) (8 x - 1))/(4 - x) = -434 + 257 (4 - x) - 37 (4 - x)^2

= -37 y^2 + 257 y - 434:

-37 y^2 + 257 y - 434 = 0

Divide both sides by -37:

y^2 - (257 y)/37 + 434/37 = 0

Subtract 434/37 from both sides:

y^2 - (257 y)/37 = -434/37

Add 66049/5476 to both sides:

y^2 - (257 y)/37 + 66049/5476 = 1817/5476

Write the left hand side as a square:

(y - 257/74)^2 = 1817/5476

Take the square root of both sides:

y - 257/74 = sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

y = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Substitute back for y = 4 - x:

4 - x = 257/74 + sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Subtract 4 from both sides:

-x = sqrt(1817)/74 - 39/74 or y - 257/74 = -sqrt(1817)/74

Multiply both sides by -1:

x = 39/74 - sqrt(1817)/74 or y - 257/74 = -sqrt(1817)/74

Add 257/74 to both sides:

x = 39/74 - sqrt(1817)/74 or y = 257/74 - sqrt(1817)/74

Substitute back for y = 4 - x:

x = 39/74 - sqrt(1817)/74 or 4 - x = 257/74 - sqrt(1817)/74

Subtract 4 from both sides:

x = 39/74 - sqrt(1817)/74 or -x = -39/74 - sqrt(1817)/74

Multiply both sides by -1:

Answer: x = 39/74 - sqrt(1817)/74 or x = 39/74 + sqrt(1817)/74

7 0

3 years ago