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Temka [501]
2 years ago
12

The graph of y=x^2has been translated 3 units down. Identify the new equation and the following attributes: the vertex, the

Mathematics
1 answer:
avanturin [10]2 years ago
6 0
The answer is 13 because 3 times 3 the 4 is 13
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The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
PLEASE HELP!!! i tryed by i thing I got it wrong I WILL GIVE BRANLIESS
Anettt [7]

Answer:

Dinner: $45

Dinner after discount: $29.25

Tax after discount: $31.59

Tip before the discount: 6.75

Total cost: 38.34

Step-by-step explanation:

Hope it helps! :) (double check my work to be sure)

7 0
3 years ago
watching Match the expression to its value. 10-4. 102 102= 0.01 10 104 1 = 0.000001 100 10-4 10,000 100 = 0.0001 104 - ​
Svetradugi [14.3K]

Answer:65739

Step-by-step explanation: because it has to be 65739 because it is the best possible answer

8 0
3 years ago
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Solve the inequality -1/2x -3 ≤ -2.5
IgorLugansk [536]

Answer:

x ≥-1

Step-by-step explanation:

-1/2x -3 ≤ -2.5

Add 3 to each side

-1/2x -3+3 ≤ -2.5+3

-1/2x ≤ .5

Multiply each side by -2, remembering to flip the inequality

-2 * -1/2x ≥ 1/2 * -2

x ≥-1

7 0
3 years ago
What is -2x-18=-4x-6<br> need step by step
Kazeer [188]

Answer:

\boxed {x = 6}

Step-by-step explanation:

Solve for the value of x:

-2x - 18 = -4x - 6

-Take 4x and add it to -2x:

-2x - 18 + 4x = -4x + 4x  - 6

2x - 18 = -6

-Add both sides by 18:

2x - 18 + 18 = -6 + 18

2x = 12

-Divide both sides by 2:

\frac{2x}{2} = \frac{12}{2}

\boxed {x = 6}

Thus, the value of x is 6.

6 0
3 years ago
Read 2 more answers
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