We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
Answer:
10
-------------
3x^2
Step-by-step explanation:
First lets simplify what is inside the square root
300x8
---------------
27x12
3 * 100 x^8
------------------
3 *9 x^12
The 3's cancel and we know a^b/ a^c = a^(b-c)
100/9 x^ (8-12)
100/9 x^-4
sqrt( 100/9 x^-4)
Put the negative exponent in the denominator and make it positive
sqrt( 100 / (9x^4) )
We know that sqrt( a / b) = sqrt(a) / sqrt( b)
sqrt(100)
----------------
sqrt( 9x^4)
10
-------------
3x^2
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Answer:the total cost of the collar is $5.11
Step-by-step explanation:
To make a collar for her dog, she needs to buy some chain,a clasp, and a name tag.
The length of the chain that she wants to buy is 40 centimeters.
1000 centimeters = 1 meter
40 centimeters = 40/1000 = 0.04 meters.
One meter of chain costs $9.75. Therefore, 0.04 meters of chain would cost
0.04 × 9.75 = $0.39
The clasp is $1.29 and the name tag is $3.43. Therefore, the total cost of the collar would be
0.39 + 1.29 + 3.43 = $5.11
