Answer:
<u>The number of intersections = ∞</u>
Step-by-step explanation:
Given the system of equations:
0.5 x + 5y = 6
3x + 30y = 36
By multiplying the first equation by 6
∴ 6 (0.5 x + 5y) = 6 * 6
∴ 3x + 30y = 36
So, Those equations are "Dependent", because they are really the same equation, just multiplied the first equation by 6.
So, the two equations are identical
Therefore: <u>They have infinity number of solutions.</u>
<u>See the attached figure.</u>
0.5 x + 5y = 6 ⇒ in black color
3x + 30y = 36 ⇒ in red color
Answer:
Option (3) and Option (5)
Step-by-step explanation:
By the property of a triangle,
Sum of interior angles of a triangle is 180°.
m∠Q + m∠R + m∠S = 180°
By substituting the measures of angles in the equation,
(8x - 17)° + (19x + 4)° + (5x + 1)° = 180°
32x - 12 = 180
32x = 192
x = 6
m∠Q = (8x - 17)° = 48 - 17
= 31°
m∠R = (19x + 4)° = 114 + 4
= 118°
m∠S = (5x + 1) = 30 + 1
= 31°
Since, one interior angle measures 118° which is grater than 90°.
Therefore, triangle QRS is an obtuse triangle.
Since, m∠Q = m∠R = 31°
It's an isosceles triangle.
Option (3) and Option (5) are the correct options.
Answer:
.03
Step-by-step explanation:
the two is in the hundredth place
look next door 5 or more round next door 4 or less let is rest
8 bigger than 5 so 2 goes to 3
Answer:
No Solution.
Step-by-step explanation:
x-y=6
x=y+2
y+2-y=6
2=6
no solution
