The multiplication of 3 and -4 on a number line is shown
<h3><u>Solution:</u></h3>
The number line representation is shown below
On number line the points are at equal distances
The multiplication of 3 with -4 can be understood in the following way:-
a × b , means a jumps b times
Eg :- 3 × -4 means 3 jumps -4 times
Which basically mean we are going to move 3 number per step , and we are going to do this 4 times and –ve sign indicates we will move in negative direction
Therefore,
So, when we move from 0 , when we take first step we reach -3 , in next step we reach -6 , in next we reach -9 and in the last step we reach -12
Which is the product 3 and -4 .i.e.
The solution of the quadratic equation is irrational because 11² - 4*3*9 is not a perfect square.
<h3>What is an irrational quadratic equation?</h3>
An irrational quadratic equation is an equation that contains two irrational solutions making the equation not to be able to be solved through factorisation.
Using the quadratic equation formula to solve, the irrational solutions are gotten below,
X = -b +√b²- 4ac/2a
where a = 3; b= 11 ; C = 9
X = -3+√11²-4*3*9/2*3
X= -3+√ 121-108/6
X= -3 +√13/6
X =-3/6 +√13/6
X= -1/2 + √13/6
Therefore,X = -1/2 +√13/6 or
X = -1/2 - √13/6
The solution are two irrational numbers that are not prefect squares.
Learn more about quadratic equation here:
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Answer:
22
Step-by-step explanation:
Range-find the largest number and subtract the smallest number from it
96-74
Answer:
56.52 but you have to round so its 57
Step-by-step explanation:
You have to multiply 18 and pi so we will use 3.14 for pi. 18 times 3.14 will give you 56.52 but you have to round it so it will be 57. If the number is greater than 5 you round up but if it is less you round down.