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gayaneshka [121]
2 years ago
5

Write y=x^2+4x-5 in vertex form. Then identify the vertex.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
7 0

the vertex form is (x+2)^2 - 9 and the vertex is (-2, -9)


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Solve for x.<br> 2x² +21x-61 = (x+7)²<br><br> Please
Ymorist [56]

Answer:

x = \frac{-7 +\sqrt{489} }{2}

x = \frac{-7 - \sqrt{489} }{2}

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}

plug in the values

x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}

solve

x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}

x = \frac{-7 +- \sqrt{49 + 440 } }{2}

x = \frac{-7 +- \sqrt{489} }{2}

7 0
2 years ago
Read 2 more answers
A scale drawing for a rectangular parking lot measures 7 cm by 13. 3 cm. The scale is 1 cm : 25 m. Find the area of the parking
AleksandrR [38]

Answer:

58,187.5 m²

Step-by-step explanation:

1 cm : 25 m

7 cm = 25 × 7 m

7 × 25 = 175 m

13.3 × 25 = 332.5 m

area = 332.5 m × 175 m

7 0
1 year ago
You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an
Dmitrij [34]
Here, My initial salary = 7.85 

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!
4 0
2 years ago
If a square block is 17 centimeters on one side.what is the perimeter of the block?
emmasim [6.3K]
If a shape is a square, this mean that each side has the same length. This means that each side of the square has a length of 17cm. Perimeter is the length of the outer boundary of a shape or the summation (addition) of all the sides. This means that the perimeter of this square is 17+17+17+17 or 17×4 which is equal to 68cm.
I hope this helps!
6 0
3 years ago
Read 2 more answers
The polynomial below is perfect square trinomial of the form a^2 -2AB +B^2
guajiro [1.7K]

Answer:

In order to get this perfect square trinomial, the factored form will be (a - b)^2

Step-by-step explanation:

We know this because it follows the rule of perfect squares in which the ends are both squares and the middle term is -2 times each term.

5 0
3 years ago
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