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yanalaym [24]
3 years ago
5

Write an equation of the line in point slope form that passes through (-16, 8) and (4,-2)

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

When the reference point is used in the point-slope form of the equation, the equation should evaluate to ...

... 0 = 0

This is only true for point (-16, 8) using the equation of selection a).

Happily, we also find that point (4, -2) satisfies the equation.

... -2-8 = -1/2(4+16)

... -10 = -1/2(20) . . . . true

The appropriate choice is ...

... a.) y-8 = -1/2(x+16)

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Jim drank 245 cups of orange juice and Jack drank 1110 cups less than Jim.
Debora [2.8K]

Answer:

Step-by-step explanation:

Jim drank 2 and 4/5 orange juice

2and 4/5=14/5 orange juice

jack drank  1and 1/10 less than Jim= 11/10 less than Jim

I introduce the whole numbers into the fractions

we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator

(14/5 )*2=28/10

Now we can find out how much juine Jack drank

28/10- 11/10= 17/10

so Jack drank 17/10 orange juice , the fraction can be written also as

1 and 7/10

5 0
2 years ago
Solve: −8x−7/ 3 =11
VladimirAG [237]

Answer: x=-\frac{5}{3}

Step-by-step explanation:

Given the equation -8x-\frac{7}{3}=11, you need find the value of the variable x.

Then, you have to solve for x:

 Add \frac{7}{3} to both sides of the equation.

Divide by -8 to both sides of the equation.

Once you do this proccedure, you will get the value of the variable x.

Then:

-8x-\frac{7}{3}+\frac{7}{3}=11+\frac{7}{3}

-8x=\frac{40}{3}\\\\\frac{-8x}{-8}=\frac{\frac{40}{3}}{-8}\\\\x=-\frac{5}{3}

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3 years ago
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Find the range, median, upper extreme, lower extreme, and interquartile range of the following data: 85, 85, 2, 1, 204, 123, 24,
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Factor 2x2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.
zlopas [31]

9514 1404 393

Answer:

  • rewrite: 2x^2 +5x +20x +50
  • factored: (x +10)(2x +5)

Step-by-step explanation:

I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.

You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.

  100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10

The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.

The trinomial can be rewritten using these factors as ...

  2x^2 +5x +20x +50

Then it can be factored by grouping consecutive pairs:

  (2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)

_____

<em>Additional comment</em>

It doesn't matter which of the factors of the pair you write first. If our rewrite were ...

  2x^2 +20x +5x +50

Then the grouping and factoring would be (2x^2 +20x) +(5x +50)

  = 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring

6 0
2 years ago
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