Answer:9.1 inches
Step-by-step explanation:
Length of arc=(theta)/360 x 2 x π x radius
Length of arc=52/360 x 2 x 3.14 x 10
Length of arc=(52x2x3.14x10)➗360
Length of arc=3265.6 ➗ 360
Length of arc=9.07
Length of arc=9.1 approximately
Answer: y=(x+7)^2-9 where h=-7 and k=-9
Step-by-step explanation:
We need to "complete the square",
A perfect square trinomial formule is:
(a+b)^{2}=a+2ab+b^{2}
in this case, a is x and to find -h we know that 14x is 2*x*(-h) so:
14x=2*x*(-h)
14x/2x=-h (x is simplified)
7=-h => h=-7
we add +7^2 and -7^2, to the first equation:
y= <u>x^2 + 14x + 7^2</u> -7^2 + 40 (the underlined section is a perfect square trinomial already)
y=(x+7)^2 <u>-49 +40</u> (addition)
y= (x+7)^2 - 9
Answer:
2
Step-by-step explanation:
negative 2 and 3 is negative 6.
negative 3 plus negative 6 is negative 9.
negative 9 plus 11 is 2
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
<u>Solution:</u>
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
