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sattari [20]
3 years ago
15

The coordinates of the vertices of triangle ABC are A (1,-1),B (1,4), and C (8,4). what is the length in units of the line segme

nt that connects vertex A and vertex B
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

The length of the line segment that connects vertex A and vertex B is 5 units

Step-by-step explanation:

Let us revise some facts about the horizontal and vertical segments

  • The segment is horizontal if the y-coordinates of all points on the segment are equal
  • The length of the horizontal segment whose endpoints are (x_{1},y) and (x_{2},y) is x_{2}-x_{1}
  • The segment is vertical if the x-coordinates of all points on the segment are equal
  • The length of the vertical segment whose endpoints are (x,y_{1}) and (x,y_{2}) is y_{2}-y_{1}

In Δ ABC

∵ A = (1 , -1)

∵ B = (1 , 4)

∵ C = (8 , 4)

∵ The x-coordinate of point A = 1

∵ The x-coordinate of point B = 1

∴ The x-coordinates of points A and B are equal

- The x-coordinates of A and B are equal, then the line AB is a

  vertical segment

∴ The length of AB is the difference between the y-coordinates

   of points A and B

∵ The y-coordinate of point A = -1

∵ The y-coordinate ob point B = 4

∴ The length of AB = 4 - (-1)

∴ The length of AB = 4 + 1

∴ The length of AB = 5 units

The length of the line segment that connects vertex A and vertex B is 5 units

Learn more:

You can learn more about the length of the segments in brainly.com/question/6564657

#LearnwithBrainly

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Calculate the ending balance of your savings account if you deposit $400 and earn simple interest a 7% for five years.
masha68 [24]
Okay well 7%, changes into 7/100=0.07 and there are 5 years and you have the beginning amount of 400. So 400×0.07=28. 28×5= 140. So add 140 to the be amount, 400+140=$540. Answer is $540.
6 0
3 years ago
HELP ASAP PLEASE!!! 20 POINTS!!
Kobotan [32]

Answer: S_{12}=399.90

Step-by-step explanation:

You know that the formula to find the sum of a finite geometric series is:

S_n=\frac{a_1(1-r^n)}{1-r}

Where n is the number of terms, a_1 is the first term and r is the common ratio (r\neq 1).

The steps to find the sum of the first 12 terms of the given geometric serie, are:

1. Find the common ratio "r". By definition:

r=\frac{a_2}{a_1}

Then:

r=\frac{100}{200}\\\\r=\frac{1}{2}

2. Finally, knowing that:

a_1=200\\\\n=12

You must substitute values into the formula.

Then you get:

S_{12}=\frac{200(1-(\frac{1}{2})^{12})}{1-\frac{1}{2}}\\\\S_{12}=399.90

6 0
3 years ago
(1) Solve the equation by factoring out a GCF (greatest common factor). * 2 points
kramer

Answer:

Step-by-step explanation:

1)  x - 21x  = 5

x   = x * 1

21x = x * 21

GCF = x

x - 21x = 5

x*(1 -21) = 5

x * (-20) = 5

-20x = 5

x =5/-20

x = -1/4

2) 6n² = 6 * n * n

30n   = 6 * 5 * n

GCF = 6*n = 6n

6n² + 30n = 0

6n*(n + 5 ) = 0

6n = 0      or n + 5 = 0

n = 0             n = -5

n = 0 or -5

3 0
3 years ago
What is the answer pls 6 2/6 x 1 1/2 =
Nonamiya [84]

Answer:

9.5

Step-by-step explanation:

4 0
3 years ago
A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Tanzania [10]

Answer:

no, it is not

if it were a right triangle, 10² + 17² = 18²

but this is not the case

Step-by-step explanation:

we would use Pythagoras theorem to determine if it is a right angle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 17² =

100 + 289 = 389

square root of 389 is 19.72 and not 18. thus, it is not a right triangle

3 0
3 years ago
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