Express 0.9534 as a fraction
<span>0.9534 × 10 × 10 × 10 × 10 = 9534
</span><span>1 × 10 × 10 × 10 × 10 = 10000
</span>9534/10000
Divide by GCF:-
GCF = 2
9534 ÷ 2 = 4767
1000 ÷ 2 = 500
4767/500
^^^Improper fraction
Convert to mixed number:-
4767 ÷ 500 = <span>9.534
500 × 9 = 4500</span>
<span>4767 - 4500 = 267</span>
<span>9 = whole number</span>
<span>267 = </span>numerator
<span>500 = </span>denominator
<span>
9 267/500
0.9534 = 9537/10000 = 4767/1000 = 9 267/500 </span><span />
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
Answer: a=-12
Answer:
Ans; Base=19.799cm
each of the other two sides=14cm
Step-by-step explanation:
two isosceles triangles are going to give you a square. So that means the area of the square will be 2(98cm^2) cos u added two of the triangles.There fore to get each side of the square, find the square root of the area of the square.you will get 14cm.that is equal to the length of the other two sides of the triangle. the base of the triangle is equal to the diagonals of the square(d=s√2).Use that to find the base of the triangle. Hope this helps.I am not good at explaining though
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.