All categories

2 years ago

On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).

Mathematics

2 answers:

tester [92]2 years ago

8 0

Answer:

The answer is below

Step-by-step explanation:

The points of the triangle are (- 5, 1), (2, 1), (2, - 1). The distance between two points is given by:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The horizontal leg is formed by points with the same y axis. Therefore the points that make up the horizontal leg is (- 5, 1), (2, 1). The Distance of the horizontal leg is:

$Horizontal\ leg=\sqrt{(2-(-5))^2+(1-1)^2}=\sqrt{7^2+0}=7\ units$

The vertical leg is formed by points with the same x axis. Therefore the points that make up the vertical leg is (2 1), (2, 1-). The Distance of the vertical leg is:

$Vertical\ leg=\sqrt{(2-2)^2+(-1-1)^2}=\sqrt{0+(-2)^2}=2\ units$

The hypotenuse is gotten using Pythagorean theorem. It is gotten by:

Hypotenuse² = (Horizontal leg)² + (Vertical leg)²

Hypotenuse² = 7² + 2²

Hypotenuse² = 49 + 4 = 53

Hypotenuse = √53

Hypotenuse = 7.28 unit

Eduardwww [97]2 years ago

7 0

Answer:

The answer are 7, 2 and 53

Step-by-step explanation:

You might be interested in

Find JMK, JKH, HLK, HJL, LHK, JLK

nordsb [41]

Answer:

126

Step-by-step explanation:

A line is 180 degrees. I found the degree of the angles in-between 126 and M by subtracting 126 from 180. This means that M is also 126. (Plus the intersecting lines are parallel)

8 0

3 years ago

Tanya took a cab from her home to the airport. Her total fare including a tip of $5.00, was $28.50. EZ Cab Company has a pick-up

ValentinkaMS [17]

16.2 miles.

Since she paid a $5 tip, the cost for her fare was $23.50. Let x be the number of 0.2-mile increments in the trip:
23.50 = 2.50 + 1 + 0.25(x-1)

This equation comes from the 2.50 home pick-up fee; $1 for the first 0.2-mile increment; and 0.25 for each other 0.2-mile increment.

Using the distributive property, we have:
23.50 = 2.50 + 1 + 0.25*x - 0.25*1
23.50 = 2.50 + 1 + 0.25x - 0.25

Combining like terms,
23.50 = 0.25x + 2.75

Subtracting 2.75 from both sides, we have:
23.50 - 2.75 = 0.25x + 2.75 - 2.75
20.25 = 0.25x

Dividing both sides by 0.25, we have:
20.25/0.25 = 0.25x/0.25
81 = x

This means there are 81 0.2-mile increments in her trip. 81(0.2) = 16.2 miles

6 0

3 years ago

True or False. All segments have a perpendicular bisector.

puteri [66]

<span>Without drawing a line on a piece of graph paper. If you know the endpoints of the line segment you can determine the equation of the line and the midpoint of the line. The slope of a perpendicular to a line is the negative reciprocal of the slope of the original line. You can then determine the equation of the perpendicular bisector using the point-slope method. Using a compass and straight edge, you can draw the line. set the compass at the endpoint and wide enough to extend beyond the midpoint. Scribe an arc. Without changing the compass use the other end and scribe another arc so that the two arcs intersect. Connect the two points where the arcs intersect and scribe a line through them. That is the perpendicular bisector.

i found this online ^ hope i helped ^-^</span>

8 0

2 years ago

Read 2 more answers

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 2, and 5 are green, and the sides numbered 3, 4,

Katarina [22]

Answer:

5/6

Step-by-step explanation:

The sides numbered 1,2,5 are green and 2,4,6 are even

We cannot count the 2 twice, so there are 5 unique possibilities of getting either a green or an even

There are 6 total possibilities when rolling the die 1,2,3,4,5,6

P (green or even) = green or even/ total