Let us consider the image on the left that is the image in which 1 and 2 , 3 and 4 are connected as image 1 and the other as image 2.
1. All Vertices are connected by the least amount of edges. True
2. Vertex 1 and 2 are not connected. This is false for image
1 and true for image 2
3. Vertex 3 and 4 are not connected. This is false for image
1 and true for image 2
4. You can get to Vertex 1 from Vertex 4 by going through Vertex 3. This is true for image 1
Answer:
Acute angle, right angle, obtuse angle and reflex angle.
Step-by-step explanation:
Acute angle -
0° < θ < 90°
Right angle -
θ = 90°
Obtuse angle -
90° < θ < 180°
Reflex angle -
θ > 180°
The table of values of the function y = 2x^2 is:
x 0 1 2 3 4
y 0 2 8 18 32
<h3>How to complete the table?</h3>
The equation of the function is given as:
y = 2x^2
When x= 0, we have
y = 2 * 0^2 = 0
When x= 1, we have
y = 2 * 1^2 = 2
When x= 2, we have
y = 2 * 2^2 = 8
When x= 3, we have
y = 2 * 3^2 = 18
When x= 4, we have
y = 2 * 4^2 = 32
So, the table of values is:
x 0 1 2 3 4
y 0 2 8 18 32
Read more about functions and tables at:
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Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
