The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7
i hope this helps!
Answer:
1: 11√3 - 7√6
2: 11√3 - 7√6
3: -9
4:12
Step-by-step explanation:
To add radicals they need to have the same radical part for the first one we have
7√3- 4√6 + √48 - √54
We can simplify the last two into 4√3 and 3√6
So we have 7√3 - 4√6 + 4√3 - 3√6
adding similar radicals we get
11√3 - 7√6
For the second one we have 11√3 - 7√6
There's nothing we can do from here so keep that as your answer
This one is quite easy -3√9
square root of 9 is 3
so we have -3*3 which is -9
next is
4√9
same deal as the one before
3*4=12
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
For 8/10:
16/20
24/30
64/80
for 5/2:
10/4
20/8
100/40
hope this helps
Answer:
distributive property
Step-by-step explanation:
(3x + 7) + (2x + 8)
each of the parenthesis has a multiplier of 1 , placed outside the parenthesis.
then multiplying the terms inside the parenthesis by 1 gives
3x + 7 + 2x + 8
