Celia uses the steps below to solve the equation Negative StartFraction 3 over 8 EndFraction (negative 8 minus 16 d) + 2 d = 24. Step 1 Distribute Negative StartFraction 3 over 8 EndFraction over the expression in parentheses. 3 minus 16 d + 2 d = 24 Step 2 Simplify like terms. 3 minus 14 d = 24 Step 3 Subtract 3 from both sides of the equation. Negative 14 d = 21 Step 4 Divide both sides of the equation by –14. D = StartFraction 21 over negative 14 EndFraction = Negative three-halves = negative 1 and one-half Which corrects the error in the step in which Celia made the first error?

Celia made the first error in the Step 1

Distribute Negative Start Fraction 3 over 8 End Fraction over the expression in parentheses.

By using the distributive property  

Step 1

Step-by-step explanation:

Celia uses the equation is  Negative Start Fraction 3 over 8 End Fraction (negative 8 minus 16 d) + 2 d = 24.

It can be written as

Step 1 Distribute Negative Start Fraction 3 over 8 End Fraction over the expression in parentheses.

Step 2 Simplify like terms

Step 3 Subtract 3 from both sides of the equation

Step 4

Step 5

Step 6

Step 7

By using the distributive property  

Step 1

Step 2 Simplify the like terms  

Step 3 Subtract 3 from both sides of the equation

Step 4

Step 5

Step 6  

Distribute Negative Start Fraction 3 over 8 End Fraction over the expression in parentheses.

By using the distributive property  

Step 1

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

2

step-by-step explanation: