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Elza [17]
2 years ago
7

Express 4x^2 − 12x in the form (2x + a)^2 + b.

Mathematics
1 answer:
gladu [14]2 years ago
8 0

Answer: (2x-3)^2-9\\

a=-3

b=-9

Step-by-step explanation:

4x^2-12x=(2x)^2-2*2x*3+9-9\\=(2x-3)^2-9\\

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A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga
levacccp [35]
Distance between (2, 5) and (8, 5) = 8 - 2 = 6
Distance between (8, 5) and (8, 3) = 5 - 3 = 2
Distance between (8, 3) and (2, 3) = 8 - 2 = 6
Distance between (2, 3) and (2, 5) = 5 - 3= 2

Total length of border = 6 + 2 + 6 + 2 = 16


5 0
2 years ago
Point P is at the origin. Then Point P is moved 4 units to the right and 5 units up.
taurus [48]

Answer:

Step-by-step explanation:

The origin (x,y) is (0,0)

If its moved four units right you must add 4 to the x coordinate giving you (4,0)

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(4,5)

8 0
2 years ago
Read 2 more answers
The Answer is 8 for, "The product of 32 and an unknown number subtracted from 435 is 179.
nirvana33 [79]
Putting this into an equation looks like this:

435 - 32<em>x</em> = 179

-32<em>x</em> = -256

<em>x</em> = 8


The answer <em>is</em> 8. Well done.
3 0
2 years ago
Three orders are placed at a pizza shop. two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of so
mojhsa [17]
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:

let x cost of small pizzas
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two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14

one small pizza, a liter of soda, and three salads cost $15

x + y + 3z = 15

three small pizzas, a liter of soda, and two salads cost $22
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6 0
2 years ago
Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds
dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \dfrac{x}{27}=\dfrac{3}{18}

\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5

Hence, the he length of the other piece = 4.5 pounds.

7 0
2 years ago
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