Distance between (3, 0) and (0, -6) = sqrt[(3 - 0)2 + (0 - -6)2] = sqrt(32 + 62) = sqrt(45) = 3*sqrt(5) or 6.71 approx.
0.5
6.2
9. -6+6=0 0+3=3 therefore -6+9=3
0 9-3=6 6-3=3 3-3=0
AB can be found by using the distance formula, which is the square root of (x2-x1)^2 + (y2-y1)^2. In this case, AB= the square root of (-2-(-8))^2 + (-4-(-4))^2 which AB= the square root of 64 + 0 which AB=8.
Use Pythagoras' theorem to find the length of the 3rd side
Distance between (3, 0) and (0, -6) = sqrt[(3 - 0)2 + (0 - -6)2] = sqrt(32 + 62) = sqrt(45) = 3*sqrt(5) or 6.71 approx.
we can create a graph with the x-axis representing the horizontal values and the y-axis representing the vertical values. let's determine whether the line segments AB and CD are congruent. The length of line segment AB can be calculated using the distance formula: AB = sqrt((x2 - x1)^2 + (y2 - y1)^2) For AB(0, 1) and CD(4, 1), the length of AB is: AB = sqrt((4 - 0)^2 + (1 - 1)^2) = sqrt(16 + 0) = sqrt(16) = 4 For CD(1, 2) and CD(1, 6), the length of CD is: CD = sqrt((1 - 1)^2 + (6 - 2)^2) = sqrt(0 + 16) = sqrt(16) = 4 Since the length of AB is equal to the length of CD (both are 4 units), we can conclude that line segments AB and CD are congruent.
I assume the corresponding sides are AB and EF, and EF is a side of the larger (second) triangle. scale factor 3 means each length of the second is 3 times as long as the first. ⇒ if AB = 6 units, EF = 3 x 6 units = 18 units.
6.7
Using Pythagoras Length AB = √((-8 - 2)² + (4 - -4)²) = √(6² + 8²) = √100 = 10 units.
The length is sqrt(61) units.
By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1By the definition of "reciprocal", any fraction multiplied by its reciprocal is equal to 1. For example:2/3 x 3/2 = 6/6 = 1a/b x b/a = ab/ab = 1
0.5
if, for example, 0=x^2+5x+6, then: 0=(x+3)(x+2) the numbers '3' and '2' must add to give you 5, and multiply to give you 6. SO: 0=x^2+(a+b)x+(ab)x 0=(x+a)(x+b)
6.2