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Alika [10]
3 years ago
7

The standard form of the equation of a parabola is y= x2 - 8x + 29.

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16  

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

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Alejandra plans to sew fringe on a scarf. The scarf is shaped rectangle. The length of the scarf is 48 inches. The width is one
aleksandr82 [10.1K]
Ok so you will be finding the perimeter of this rectangle. The formula is P(perimeter)=2L(length) + 2W(width)

so the length is 48 and the width is 1/2 of 48, and we all know that 1/2 of 48 = 24 right? so in the formula is says 2L so we will take 48 and multiply it by 2 and get 96. The same way with the width. 24 times 2 = 48 so then we add them together and get 144. Therefore the perimeter and the length of fringe that she will use (or how ever you say it) will be 144 inches.

Hope this helps!;)
5 0
3 years ago
Solve the system y= 4x + 1 and 3x+2y =13
Irina18 [472]

Given :

{\qquad \sf \dashrightarrow  y= 4x + 1 \: –––– \sf \:  (i)}

{\qquad \sf \dashrightarrow   3x + 2y = 13 \: –––– \sf \:  (ii)}

Now, Substituing the value of y in equation (ii) :

{\qquad \sf \dashrightarrow   \: 3x + 2y = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 2(4x + 1) = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 8x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x  = 13 - 2   }

{\qquad \sf \dashrightarrow   \: 11x  = 11   }

{\qquad \sf \dashrightarrow   \: x  =  \dfrac{11}{11}    }

{\qquad \sf \dashrightarrow   \bf \: x  = 1   }

Now, substituting the value of x in equation (i) :

{\qquad \sf \dashrightarrow  y= 4x + 1}

{\qquad \sf \dashrightarrow  y= 4(1) + 1}

{\qquad \sf \dashrightarrow  y= 4 + 1}

{\qquad \bf \dashrightarrow  y= 5}

3 0
2 years ago
9.3x10^7 - 3.4x10^6=
Salsk061 [2.6K]
Loook on google and find the answers
7 0
3 years ago
Read 2 more answers
PLEASEE HELP I'LL GIVE BRAINLIEST.
just olya [345]

Answer:

No, Elias doesn't have enough quantity of each ingredient to make 45 mince pies.

Step-by-step explanation:

For making 18 Mince Pies Elias needs

200g Butter

225g flour

150g sugar

250g Mincemeat

1 egg

Inorder to make 45 mince pie's he's gonna need 45/18=2.5 times the ingredients he needs to make 18 Mince Pies.

As he doesn't have enough Mincemeat (has only 600g but needs 250*2.5=625g of mincemeat)

As he is short of 25g of Mincemeat, he is unable to make 45 Mincepies.

4 0
2 years ago
Ronnie, Mack, Kim, and Ada together stacked a total of 40 pizzas in a pan. Ronnie stacked 0.25 of the pizzas, Mack stacked 9 of
natta225 [31]
Hello!

Here's how much each person stacked:

Ronnie -- 0.25 of the 40 pizzas.

Mack -- 9/40

Kim -- 35% of the 40 pizzas.

Ada -- rest of the pizzas.

Now, the questions asks for who stacked the most pizzas.

First, find our how many pizzas they stacked out of 40.

40 × 0.25 = 10

40 × 35% = 14

10 + 9 + 14 = 33

40 - 33 = 7

This means that Ronnie stacked 10 pizzas, Mack stacked 9 pizzas, Kim stacked 14 pizzas, and Ada stacked 7 pizzas.

ANSWER:

Kim stacked the most pizzas since she stacked 14 of them.
7 0
3 years ago
Read 2 more answers
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