The area of the triangle PQR is 108 square units
<h3>How to determine the area of the triangle?</h3>
The given parameters are:
- Height, h = 12 units
- Base, b = 18 units
The area is then calculated using:
Area = 0.5 * base * height
So, we have:
Area = 0.5 * 18 * 12
Evaluate
Area = 108
Hence, the area of the triangle PQR is 108 square units
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The general rule for difference of two squares is that when factorised it can be written in the form (a+b)(a-b) where a is the square root of the first part of the function and b is the square root of the second part of the function.
From this we can find the square root of x² to find a and the square root of 16y² to find b.
In this case √x²=x and √16y²=4y
Therefore fully factorised it can be written as (x+4y)(x-4y)
Answer:
Yellow.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. Experimental probability is found taking into account previous experiments.
In this question:
6 + 5 + 4 + 10 = 25 total marbles.
The experimental probabilities are:
6/25 probability it is red.
5/25 = 1/5 probability it is yellow. Thus, the answer is yellow.
4/25 probability it is blue.
10/25 = 2/5 probability it is green.
Answer:
x=-1
Step-by-step explanation:
-12=-12(x+12)
multiply -12 and x which equals -12x
multiply -12 and 2 which equals -24
the resulting equation is -12=-12x-24
add 24 on both sides of the equation----> equals -12x=12
divide -12 on both sides of equation
x=-1
(3) is the base of the new equation
(x + 5) is the answer of the new equation
(2) is the exponent on base (3)
;The new equation after simplifying is...,
; 3^2 = x + 5
; 9 = x + 5
; x = 9 - 5
;Hence...x = 4
