Answer:
$81
Step-by-step explanation:
9/2 = 4.5
4.5 x 18 = 81
We will begin by working through Part (a): Simplify √18
To simplify a square root such as the one above, we must factor out perfect square numbers (this means we must find a number that multiplies to 18 and gives a whole number when we square root it). Using our knowledge that √9 is a perfect square, we should factor out a 9 from 18, as modeled below:
√18 = √(9*2)
We can separate this square root into two square roots multiplied together, as shown below:
√(9*2) = √9 * √2
Now, we should simplify √9, which equals 3, because 3 * 3 = 9.
√9 * √2 = 3 * √2 = 3√2
Therefore, √18 = 3√2.
Now, we can move on to the next problem: √6 * √15.
To begin this problem, we can multiply the square roots together, which means multiplying the numbers under the radical.
√6 * √15 = √(6*15) = √90
To simplify this, we use the same process as above:
√90 = √(10 * 9) = √9 * √10 = 3√10
Note: We know that this fully simplified because we cannot factor out another perfect square number from the number under the radical (10).
Therefore, your two answers are 3√2 and 3√10.
Hope this helps!
Answer:
X=4 and Y= -24
Step-by-step explanation:
Step 1: −6x for y in−2x−y=16:
−2x−y=16
−2x−−6x=16
4x=16
4x/4=16/4
x=4
----------------------------------------------------------------------
y=−6x
y=(−6)(4)
y=−24
y=-24
The length of the given rectangle is 10 units.
Here, we are given that the perimeter of a rectangle is 36 units.
A rectangle is a figure with 4 sides and opposite sides equal. The perimeter of a rectangle is calculated using the given formula-
Perimeter = 2 ( length + breadth )
Here, the breadth (width) is given to be 8 units.
Let the length be x units.
Then, we can form the following equation-
Perimeter = 2( x + 8 )
36 = 2x + 16
36 - 16 = 2x
20 = 2x
2x = 20
x = 20/2
x = 10
Thus, the length of the given rectangle is 10 units.
Learn more about perimeter here-
brainly.com/question/19819849
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j=4.88 when g=8 and v=11
Further explanation:
When the increase/decrease in one quantity cause increase/decrease in other quantity, it is called direct variation.
Variation is always accompanied by a variation constant.
<u>Given</u>
g and v vary directly with j
IT can be written as:
j∝gv
Putting the variation constant k
j = kgv
Putting g = 6 and v=3
So the value of k is 1/18 which makes the equation
So, j=4.88 when g=8 and v=11
Keywords: Variation, Direct Variation
Learn more about variation at:
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