Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,



Multiply both sides by 12.


Therefore, the height of the triangle is
cm.
Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given

We know the rational zeros theorem such as:
if
is a zero of the function
,
then
.
As the
is a polynomial of degree
, hence it can not have more than
real zeros.
Let us put certain values in the function,
,
,
,
,
,
,
,
, 
From the above calculation results, we determined that
zeros as
and
.
Hence, we can check that

Observe that,
,
increases rapidly, so there will be no zeros for
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
<h3>Define the meaning of the equation?</h3>
A mathematical assertion in which you use mathematical symbols to demonstrate that two sums are equal.
As per specified data-
- Marcus wishes to save $378 so that he can purchase a new electronic keyboard.
- Every week, he saves $15.75 from his paycheck.
Let 'x' be the number of weeks required to complete the amount.
The equation becomes.
378 = 15.75x
For the number of week required.
x = 378/15.75
x = 24
Thus, Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
To know more about the equation, here
brainly.com/question/14107099
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Answer:
-8,-7
Step-by-step explanation:
I think
Answer:20% OF THEM WERE SHIPPED INTERNATIONALLY IT IS THE BLUE MODEL NOT THE PINK ONE
Step-by-step explanation: