First, you plot the coordinates to visualize the problem clearly. As you can see in the picture, the longest sides could either be one of those marked in red. This could be initially determined when you use visual estimation. We measure this using the distance formula: d = √[(x2-x1)^2 + (y2-y1)^2)]
Between coordinates (0,3) and (3,6)
d = √[(3-0)^2 + (6-3)^2)]
d= 4.24 units
Between coordinates (2,1) and (5,4)
d = √[(5-2)^2 + (4-1)^2)]
d= 4.24 units
They are of equal length. Both are the longest sides which measures
4.24 units.
Answer:
Step-by-step explanation:
Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers):
5 + (-3) = (-3) + 5
Answer:
The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
Step-by-step explanation:
The equation of line for point=slope form is
y-y₁ = m(x-x₁)
Finding Slope m:
m= y₂-y₁/x₂-x₁
here y₂= 6,y₁= 7,x₂= -3,x₁= -6
m = 6-7/-3-(-6)
m = -1/-3+6
m = -1/3
The slope m = -1/3 and considering point (-6,7) the equation is:
y-y₁ = m(x-x₁)
y-7 = (-1/3)(x-(-6))
y-7 = -1/3(x+6)
y-7 = -1/3x -2
y = -1/3x-2+7
y = -1/3x + 5
So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
Answer:
1. ∠ABD = 20°.
2. Arc AB = 140°.
3. Arc AD = 40°.
Step-by-step explanation:
Given information: ∠ADB = 70°. BD is diameter.
According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
By Central angle theorem,
Using angle sum of property in triangle ADB we get,
.
Draw a line segment AO.
In triangle AOD, AO=OD, so
Using angle sum property in triangle AOD,
Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.
Therefore length of arc AB is 140°.
Answer:
118°
Step-by-step explanation:
E=180-145=35
C=180-132=48
D=720-150-100-145-35-48=242
x=360-242=118
