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almond37 [142]
3 years ago
13

Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

Mathematics
2 answers:
s2008m [1.1K]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

WE use mid point formula

(\frac{x_1+x_2}{2} , \frac{y_2+y_2}{2})

Here (x1,y1) is (4,3) and (x2,y2) is (-2,6)

Plug in all the values in the formula

(\frac{4-2}{2} ,\frac{3+6}{2})

(\frac{2}{2} , \frac{9}{2})

(1, 4.5)

The x- value of midpoint is x=1

erastova [34]3 years ago
3 0
Midpoint = (x1+x2)/2 and (y1+y2)/2 =  so just solving for
x gives (4+(-2))/2 = 1


not asked for but the y value is (3+6)/2 = 9/2 = 4.5 so the ordered pair is (1, 4.5)
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Answer:

Susan has suggested a correct method to calculate the amount of money

Step-by-step explanation:

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Looking at these answers, we see that Susan has suggested a correct method to calculate the amount of money needed to buy a number of sodas. John has suggested the amount each person would have to contribute if everyone at the party was trying to buy a 12-pack of soda; regardless of whether more or less than a 12-pack is required.

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3 years ago
A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

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Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
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We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

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- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

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Now let us factorize it into two factors

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∴ x² + 12x - 220 = (x + 22)(x - 10)

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Learn more:

You can learn more about the factorization in brainly.com/question/7932185

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