Answer:
184
Step-by-step explanation:
17.70 / 170 = .104 per text
19.10 / .104 = 183.65 round up to 184
F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
The answer is B! Good luck!
- 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.
Answer:
The two numbers are 31 and 19
Step-by-step explanation:
Let x and y be the numbers
x+y = 50
x-y = 12
Add the two equations together
x+y = 50
x-y = 12
-----------------
2x +0y = 62
Divide by 2
2x/2 = 62/2
x = 31
Now find y
31+y = 50
Subtract 31
y = 50-31
y = 19
