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son4ous [18]
2 years ago
5

What is the midpoint of AB?

Mathematics
1 answer:
Citrus2011 [14]2 years ago
7 0

Answer:

(-4, -\frac{1}{2})

Step-by-step explanation:

Hi there!

We are given the line segment, with the end points AB

The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).

We want to find the midpoint of the line segment AB

The midpoint formula is given as (\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2}), where (x_1, y_1) and (x_2, y_2) are coordinates

We have two coordinates, which is what we need, but let's label their values to avoid any confusion:

x_1=-5\\y_1=-4\\x_2=-3\\y_2=3

Now substitute those values into the formula:

(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})

(\frac{-5+ -3}{2}, \frac{-4+ 3}{2})

Now simplify the numerator and denominator

(\frac{-8}{2}, \frac{-1}{2})

Simplify again:

The midpoint is (-4, -\frac{1}{2})

Hope this helps!

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1 hour 50 minutes = 110 mins

1 1/2 hours = 90 mins

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110

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every hour has 60 minutes

375 ÷ 60 = 6.15

if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.

4 0
2 years ago
Will give brainliest to whoever replies with the correct answer. (Question is in the image)
EastWind [94]

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7

5 0
3 years ago
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
Find the value of y for the given value of x. y=x/2+9;x=-12
Ipatiy [6.2K]

Answer:

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7 0
3 years ago
X squared + 3x-6 = -8
Lana71 [14]

Answer:

so it queals 8

Step-by-step explanation:

4 0
3 years ago
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