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2 years ago

Find the roots of the quadratic equation x² – 8x = 9 by completing the square. Show your work.

Mathematics

1 answer:

Artist 52 [7]2 years ago

8 0

No solutions beacause you have to factor out numbers for -9 but they must equal -8 when adding them.

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What is the image of B(3, 5) across the translation vector of (-4, 6)?

joja [24]

Lol is it hard I don’t get it are you okay 2+2=4 -1=3 quick maths

5 0

2 years ago

Match each scenario with the appropriate base that would be used to write the exponential equation.

FrozenT [24]

Answer:

1. a (100% - 3% = 97%)

2. b (Triples ⇒ *3)

3. c (100% + 3% = 103%)

6 0

1 year ago

The Nut Shoppe sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10

Anton [14]

Answer: He sold 10 pounds of cashews .

Step-by-step explanation:

Since we have given that

Selling price of walnuts = $4.00 a pound

Selling price of cashews = $7.00 a pound

Number of pounds of walnuts = 10

Let number of pounds of cashew be x

Total price at which he sold a mixture = $5.50

According to question,

$10\times 4+x\times 7=(10+x)\times 5.50\\\\40+7x=55+5.5x\\\\7x-5.5x=55-40\\\\1.5x=15\\\\x=\frac{15}{1.5}\\\\x=10$

Hence, he sold 10 pounds of cashews .

7 0

2 years ago

Hi! 6 questions, find the slope of the line through the given points, ty! They should be practice questions

denis23 [38]

Answer:

3. undefined (vertical line)

4. 1

7. -4

8. 3

11. undefined (vertical line)

12. -1/3

Step-by-step explanation:

You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)

3. (-4 - (-2)) / (6-6) denominator is 0 here so the slope is undefined (vertical line)

4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1

7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4

8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3

11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line

12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3

7 0

1 year ago

Steve kicks a football into the air. The path that a ball takes can be described by the equation h=20t - 5t squared where h is t

FinnZ [79.3K]

Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.

Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0

$\frac{4 +- \sqrt{16 - 20}}{2}$

Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.

4 0

2 years ago