Eliminate the y’s via elimination (subtract both of the equations):
x^2 - x = 6
x^2 - x - 6 = 0
Factor the quadratic:
(x - 3)(x + 2) = 0
Set each equation equal to 0 and solve.
x - 3 = 0 , x + 2 = 0
x = 3 , x = -2
Plug in the 1st value for x into the second equation:
3 - y = -3
-y = -6
y = 6
Plug in the second value for x into the second equation:
-2 - y = -3
-y = -1
y = 1
Answer:
{(3,6)}
or
{(-2,1)}
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
Well it looks like you just need to get the y axis number and the x axis number and multiple then
Answer:
(about) 11.18034
Step-by-step explanation:
Use the distance formula to find the distance:
d = sqr (x2 - x1) + (y2 - y1)
Fill in the variables with what you know:
d = sqr ((6 - (-4)) + (2 - (-3)))
(Honestly it doesn't matter what order you put the x and y, as long as x2 and y2 make up the coordinates of one point and x1 and y1 make up the coordinates of the other)
= sqr ((6 + 4)^2 + (2 +3)^2)
= sqr ((10)^2 + (5)^2)
= sqr (100 + 25)
= sqr (125)
= (about) 11.1803