Answer:
x=-5
Step-by-step explanation:
See the image for the steps.
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!
D) 1:6 because she brought 6 paintbrushes and 36 tubes of oil paint, and we can simplify that to 1/6
Answer: 0.03
Step-by-step explanation:
1 block = 1/20 mile = 0.05 miles
4(0.05) = 0.20
3(0.05) = 0.15
A=l•w=0.20(0.15)=0.03
Answer:
The answer is 132
Step-by-step explanation:
First, find the area wholely, 20x8 = 160. Then find the triangle which is 7x 8 divided by 2 is 28 and you subtract the whole are by the triangle which is 160 - 28 is 132
