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Maslowich
3 years ago
5

2

Mathematics
2 answers:
sammy [17]3 years ago
8 0

Option B

slope:-

\\ \sf\longmapsto m= \dfrac{-24+14}{4-2}=\dfrac{-10}{2}=-5

Equation of line in point slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y+14=-5(x-2)

\\ \sf\longmapsto y+14=-5x+10

\\ \sf\longmapsto y=-5x+4

Mamont248 [21]3 years ago
5 0

Answer:

  • Option B is close but has different y-intercept

Step-by-step explanation:

Let's verify each line for their slope, we are looking for m = - 5

A. a line passing through the points (1,9) and (3, 19)

  • m = (19 - 9)/(3 - 1) = 10/2 = 5, no

B. a line passing through the points (2, -14) and (4, -24)

  • m = (-24 + 14)/(4 - 2) = -10/2 = - 5

<u>The slope is correct, find the y-intercept:</u>

  • -14 = -5*2 + b
  • -14 + 10 = b
  • -4 = b

<u>The line is:</u>

  • y = - 5x - 4

The line has same slope but different y-intercept

C. a line passing through the points (1, 1) and (3, 11)

  • m = (11 - 1)/(3 - 1) = 10/2 = 5, no

D. a line passing through the points (2,6) and (4, -16)

  • m = (-16 - 6)/(4 - 2) = -22/2 = - 11, no
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3 years ago
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d1i1m1o1n [39]

Answer:

The equations shows a difference of squares are:

<u>10y²- 4x²</u>   $   <u>6y²- x²</u>

Step-by-step explanation:

the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

We will check the options to find which shows a difference of squares.

1) 10y²- 4x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√10 y + 2x )( √10 y - 2x)

2) 6y²- x²

The expression is similar to the general form, so the equation represents a difference of squares.

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3) 8x²−40x+25

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6 0
3 years ago
If 48 feet are represented by 12 inches on a scale drawing, then a scale of 1/4 inch represents how many feet? a. 3 foot c. 2 fo
alukav5142 [94]
Hello there!

Math is hard! So we as students, we need to play the smart game with Math in order to find the easiest way to solve the problems. What do I mean? Well as you can see they gave us Fraction which won't be easy! So we will transform the fractions into decimals. So let's get started.

Then a scale of 1/4. Transformed into decimal = Then a scale of 0.25
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So if:

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3 years ago
Delaney would like to make a 10 lb nut mixture that is 60% peanuts and and 40% almonds. She has several pounds of peanuts and se
vazorg [7]

Answer:

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Step-by-step explanation:

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musickatia [10]

Answer:

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Like i said im definitely, by no means, the best at explaining but if this helped even a little that's awesome, if you have any particular questions i can try to answer them in the comments

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