Answer:
The solutions to the system of equations are:
Step-by-step explanation:
Given the system of the equations
Isolate x for for 4x-3y=-13
Divide both sides by 4
substitute y=5
The solutions to the system of equations are:
Answer:
∠MNO = 51°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x + 15 + 2x + 25 + 5x + 10 = 180 ← simplify left side
10x + 50 = 180 ( subtract 50 from both sides )
10x = 130 ( divide both sides by 10 )
x = 13
∠MNO = 2x + 25 = (2 × 13) + 25 = 26 + 25 = 51°
Answer:
B. Pentagonal prism with two pentagons and five rectangles
Step-by-step explanation:
if we use the other shapes the 3-D figure will be incomplete.
Hope I am correct and it helps! ;) <3
Answer:
• discriminant: 73
• # of real solutions: 2
Step-by-step explanation:
Comparing the equation ...
2x^2 -9x +1 = 0
to the generic form ...
ax^2 +bx +c = 0
we find the coefficient values to be ...
a = 2; b = -9; c = 1
That makes the value of the discriminant, (b^2 -4ac), be ...
(-9)^2 -4(2)(1) = 81 -8 = 73
Since the discriminant is positive, the number of real solutions is 2.