Answer:
[Vertex form]
Step-by-step explanation:
Given function:
We need to find the vertex form which is.,
where 
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.
Isolating 
and 
terms on one side.
Subtracting both sides by 15.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term = 
Adding 36 to both sides.
Since 
is a perfect square of 
, so, we can write as:
Subtracting 21 to both sides:
Dividing both sides by -3.
[Vertex form]
Answer: 1000
Step-by-step explanation:
9 8 1
Hundred tens one
The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.
The number of the place before the hundreds place is [8] on the tens place.
- When numbers are greater than or equal to 5, you round up a digit.
- When numbers are less than 5, you round down a digit.
[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.
<h2>So, the final number will be 1000</h2>
<span>The answer is She should have multiplied by 2 instead of dividing by 2.
First one.</span>
Time = Distance / Speed [ Already mentioned ]
Then, substitute the known values,
t = (9.6 × 10⁶) / (3 × 10⁸)
t = 3.2 × 10⁻² s
In short, Your Answer would be Option B
Hope this helps!
Answer:
SA: 664 in²
LA: it’s supposed to be 1040cm???
Step-by-step explanation:
SA: find the area of all sides of the prism first (I suppose it’s rectangular?)
80+80+112+112+140+140 = 664
LA: the lateral area formula is (perimeter of base)*height...
perimeter of base = (6+6+14+14) = 40
40 * 26 = 1040
I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)
