Answer:
The required proof is shown below.
Step-by-step explanation:
Consider the provided figure.
It is given that KM=LN
We need to prove KL=MN
Now consider the provided statement.
KM = LN Given
KM = KL+LM Segment addition postulate
LN = LM+MN Segment addition postulate
KL+LM = LM+MN Substitution property of equality
KL = MN Subtraction property of equality
The required proof is shown above.
Answer:
the slope is 1 over 4, or up 1 right 4.
Step-by-step explanation:
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
Adds 3 both sides


Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure
Let the model for the change in water vapor be
y = x^3 − 8x^2 + 15x
to find the x intercepts we can factor this expression
x^3 − 8x^2 + 15x = x(x−3)(x−5)
the x intercepts are 0, 3, 5
Hope this helps!
Answer:
c=10mm
Step-by-step explanation:
Using pythagoras theorem,
hypotenuse²=base²+altitude²
=√19²+9²
=19+81
=100
Hypotenuse²=100
Hypotenuse=√100
=10