If m ∥ k and m ∥ ℓ, then _____
1 answer:
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Answer:
- The graph of y > 3x − 4 has shading above a dashed line.
- The graph of y < x + 1 has shading below a dashed line.
- The graphs of the inequalities will intersect.
Step-by-step explanation:
y > ... means the shading will be above the corresponding line.
y < ... means the shading will be below the corresponding line.
These lines have different slopes, so the solution spaces <em>must</em> overlap, hence <em>there must be solutions</em> to the system.
_____
<em>Comment on last choice</em>
It isn't clear exactly what is intended by the last offered statement. Both of the listed points are in the solution space of y > 3x-4. Neither point is in the solution space of y < x+1.
Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.
The y-intercepts of the two boundary lines are (0, 1) and (0, -4). Neither of these points is in the solution space of the system of inequalities.
Answer:
Step-by-step explanation:
Distance can be found using this formula:
Where (x₁, y₁) and (x₂, y₂) are the points.
We are given the points O (-3, -2) and P(-3,4). Therefore,
Substitute the values into the formula.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Solve inside the parentheses first.
- (-3--3)= -3+3=0
- (4--2)= 4+2=6
Solve the exponents.
- (0)²= 0*0=0
- (6)²= 6*6=36
Add.
Take the square root.
The distance is 6.