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Ulleksa [173]
3 years ago
14

Triangle DAN has coordinates D(-10,4), A(-4,1), and N(-2,5) Using coordinate geometry, prove that triangle DAN is a right triang

le.
Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

75

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeee

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Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) an
ss7ja [257]
The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

4 0
3 years ago
Convert 0.433 to a percent
Lelu [443]
43.3%    All you need to do is move the decimal two places to the right and there you go.                                       
3 0
3 years ago
Time Savings
Pavel [41]

Answer:

26.6 repeating a line should be over the 6 couldn't figure out how to do on my phone or 26.66666666666666

Step-by-step explanation:

80 divide by 3 26.6 repeating 9 minus 3 is 6 6 divide 160 is 26.6 repeating 21 minus 9 is 12 12divided by 320 is 26.6 repeating

8 0
2 years ago
if your cell phone bill was $67.82 and there's a 7.5% late fee how much will you pay for your phone bill
kotegsom [21]
$67.82 if you pay it on time.
$90.43 if you pay it late.
8 0
3 years ago
X - y = 4<br> x + y = 8<br><br> The x-coordinate of the solution to the system shown is _____.
Valentin [98]
Hello : 
<span>X - y = 4...(1)
x + y = 8...(2)
(1)+(2) :2x= 12

</span><span>The x-coordinate of the solution to the system shown is __6___.</span>
5 0
3 years ago
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