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3 years ago

Which equation in point-slope form describes the line through points (4, –4) and (1, 2)?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

Step-by-step explanation:

Given points (4 , -4) and ( 1, 2)

First calculating slope (m) 

=( y2 - y1) /( x2 -x1) 

= ( 2 + 4) / (1-4)

= 6/ -3

= -2

Now

The equation in point slope form

y - y1 = m ( x - x1) 

y + 4 = -2 ( x - 4)

y + 4 = -2x + 8

2x + y - 8 + 4 = 0

2x + y -4 = 0 which is the required equation 

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Mrs. Wilkinson can buy a 20-ounce box of cereal for $3.60 or a 28-ounce box of cereal for $4.20. Which is the better buy?

Vsevolod [243]

3.60 / 20 = 0.18

4.20 / 28 = 0.15

The 28-ounce box has better value, as cost-per-ounce is lower.

4 0

4 years ago

Which situation could be represented by the equation - 30+30 = 0?

Shalnov [3]

Answer:

"Donna loaned $30 to her brother. He then paid her back $30 the next day" is the correct situation

8 0

3 years ago

-5(-x - 1) + 4x – 1= 49 solve for x

Anton [14]

Answer:

x=5

Step-by-step explanation:

-5(-x - 1) + 4x – 1= 49

Distribute

5x +5 +4x -1 = 49

Combine like terms

9x +4 = 49

Subtract 4 from each side

9x+4-4 = 49-4

9x = 45

Divide by 9

9x/9 =45/9

x = 5

4 0

3 years ago

Read 2 more answers

Rewrite each expression as a polynomial in standard form.a)(x+i)(x-i)b)(x+5i)(x-5i)

Nitella [24]

Answer:

a) x² +1

b) x² +25

Step-by-step explanation:

a) (x+i)(x− i)

= x² - ( i ) x + ( i ) x - ( i)²

= x² - i² ∵ i² = -1

= x² - (-1)

= x² +1

b) (x+5 i)(x− 5i)

= x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²

= x² - 25 i² ∵ i² = -1

= x² - 25(-1)

= x² +25

we can also solve

using identity

(a + b)(a - b) = a² - b²

= (x+5 i)(x− 5i)

= x² - (5 i)²

= x² - 25 i²

= x² +25

8 0

4 years ago

Explain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2

mr Goodwill [35]

Answer:

see explanation

Step-by-step explanation:

To prove the equation id true, solve both sides and if they are equal then the equation is true.

left side = 6 × 8 = 48

right side = 3 × 2 × 2 × 2 × 2

= 6 × 2 × 2 × 2

= 12 × 2 × 2

= 24 × 2

= = 48

Since both sides are equal then the equation is true

5 0

3 years ago