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:
9.103
10. 77
11.60
12. 6.4
13. 20
14. 36
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
180 - (47 + 30) = 103
DEG = 180 - 103 = 77 angles on a straight line equals 180
An equilateral triangle has all 3 sides equal
if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
5² + 4² = 41
squareroot of 41 = 6.4
b : √(25² - 15²) = 20
√(60² - 48²) = 36
The sales tax was $3.49.
First, you just subtract 69.78 from 100, and you get 30.22. Then you subtract 26.73 from 30.22 and you get 3.49.
Hope that helped!
Step-by-step explanation:
Apples cost four times as much as oranges per pound.
If the cost of orange =x
then, cost of apples =4x
But,
the costs of apples =2.80$
So,4x=2.80
⠀
⠀
so,oranges costs for per pound =0.70$
Answer:
each child will get 2 1/3 quarts of juice each
Step-by-step explanation:
<u>Question 7</u>
Total amount of juice = 1 4/6 + 2 + 2 + 2 + 2 2/6 + 2 5/6 + 2 5/6 + 3 = 56/3
Number of children = 8
If the juice was shared equally: 56/3 ÷ 8 = 7/3 = 2 1/3 each
Therefore, each child will get 2 1/3 quarts of juice each
