Answer:
= -√6
Step-by-step explanation:
1) collect like terms by subtracting coefficients:
3√6 - 4√6
(3-4)√6
2) calculate (3-4):
(3-4)√6
-1√6
3) the coefficient of -1 does not have to be written, but the negative sign remains:
-1√6
-√6
so therefore:
-√6 is your answer
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:
132 mm^2
Step-by-step explanation:
The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.
1. A parallelogram of base length 20 mm and height 4 mm:
A = bh = (20 mm)(4 mm) = 80 mm^2
2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:
A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2
The total area of the figure is then ...
80 mm^2 +52 mm^2 = 132 mm^2
Answer:
A
Step-by-step explanation:
The formula for this type of interest is
, where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:


Now, she invests this into a new account, and you can set up the following equation:

, or option A.
Hope this helps!
The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
<h3>What is a polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
Learn more about Polynomial here:
brainly.com/question/17822016
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