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2 answers:
Answer: The required mean is -48.
Step-by-step explanation: We are given to find the mean of the following integers :
-54, -32, -70, -25, -65, -42.
We know that
the mean of a given set of integers is equal to the sum of the integers divided by the number of integers.
Therefore, the mean of the given set of integers is
Thus, the required mean is -48.
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Answer:
SAS theorem
Step-by-step explanation:
Given
Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:
and
So, the congruent sides and angles of △ABE and △CDE are:
---- S
---- A
or
--- S
<em>Hence, the theorem that compares both triangles is the SAS theorem</em>
Answer:
Step-by-step explanation:
Alright, lets get started.
The given expression is given as :
We know quotient identity as :
Similarly, we know reciprocal identity as :
lets plug the value of cot and sec in given expression
cos will be cancelled, remaining will be
Using reciprocal identity again, that will equal to :
................... Answer (A)
Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
