A triangle in which one angle measures more than 90 degrees is called?

Mathematics

1 answer:

OLga [1]3 years ago

8 0

That would be a scalene triangle or an obtuse triangle.

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Determine whether the number is a solution of the equation.

aev [14]

Answer:
Yes. -4 is the solution to the equation.
Explanation:
2 + 4(-4) = - 14
2 + (-16) = - 14
2 - 16 = - 14
- 14 = - 14

7 0

2 years ago

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

olya-2409 [2.1K]

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

If a translation of <img src="https://tex.z-dn.net/?f=T_%7B-3%2C-8%7D%20%28x%2Cy%29" id="TexFormula1" title="T_{-3,-8} (x,y)" al

nydimaria [60]

The y-coordinate of B' after the translation is -6

<h3>How to determine the y-coordinate of B'?</h3>

From the graph, the coordinate of B is given as:

B = (1,2)

The translation $T_{-3,-8}(x,y)$ means:

(x,y) ⇒ (x - 3, y - 8)

So, we have:

B' = (1 - 3, 2 - 8)

Evaluate the difference

B' = (-2, -6)

Remove the x-coordinate

B' = -6

Hence, the y-coordinate of B' is -6