Answer:
Each point reflected across the x-axis, goes from (x, y) --> (x, -y), which means that we keep the x coordinate the same, but multiply the y coordinate by -1:
L (-2, 4) --> (-2, -4)
M (2, 1) --> (2, -1)
N (-4, -3) --> (-4, 3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The third side could have dimension x
32 - 27 < x < 32 + 27
5 < x < 59
There are a few special triangles
Equilateral triangle could have legs
27, 32, <u>27</u>
or
32, 27,<u> 32</u>
A right triangle could have the third side
√(27² + 32²) = <u>√1753</u> which is about<u> 41.87</u>
or
√(32² - 27²) = <u>√295</u> which is about <u>17.18</u>
Notice all these fit within the original limits specified.
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
<em></em>
Therefore, the angle between their paths is <em>100.8°</em>
All of them have the same answer of -8 except the last one.
Answer:
three halves
Step-by-step explanation:
1/2 * 3 = 3/2 = 1 1/2 = 1.5
Multiple: 1/2 * 3 = 1 · 3/2 · 1 = 3/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 2) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by three = three halfs.
