If a rational function is not continuous, it'll be due to one of two reasons. Either it has a hole, or it has an asymptote. Plug in -5 for x in the denominator of the rational function. What do you get? You get zero in the denominator, meaning the function is undefined at x=-5.
Answer: W is now at (2,-3)
Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).
Answer:
x = 6.5
Step-by-step explanation:
* since it's a triangle ALL the angles inside should give you 180° * Equate everything to 180°
8x + 10x - 10°+ 10x + 8° = 180°( sum of angles on a triangle)
28x - 2° = 180° * group like terms*
28x = 182°
x = 6.5
Answer:
17
Step-by-step explanation:
Let a,b,c,d,x represent the five integers in Ascending order.
Given;
The sum of five different positive integers is 320
a+b+c+d+x = 320 .......1
The sum of the greatest three integers in this set is 283
c+d+x = 283 .....2
The sum of the greatest and least integers is 119
a+x = 119 ......3
For the largest possible value;
From equation 3, if a is as low as 1,
x = 119-1 = 118
x = 118
For the least possible value;
Subtract equation 2 from 1
a+b = 320-283 = 37
We know that a cannot be higher than b, so the highest possible value of a is;
a = 37-b
a = 37- 19 = 37-19
a = 18
Substituting into equation 3
x = 119-18 = 101
Difference;
∆x = 118-101 = 17
Answer:
When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.
Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Assume two sides of a triangle are:
And the angle between the two sides is:
When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:
Notice that the sides and angles do not change.
Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Step-by-step explanation:
