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3 years ago

The sum of two consecutive numbers is n+1. What are the numbers?

1 answer:

5 0

Let, consecutive number is (n-1) & n
Then: n-1+n = n+1
2n-1 = n+1
2n-n = 1+1
n = 2
& (n-1) = 2-1 = 1

So, numbers are 1 & 2

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Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

How to simpfly fractions? -Step by step -Answer 15/36

Mumz [18]

Answer:

5/12

Step-by-step explanation:

15÷3/36 ÷3

the answer is 5/12

4 0

2 years ago

Read 2 more answers

Tyce hit 3/5 of the baseballs pitched to him during batting practice.Mason hit 3/4 of the number of the pitched that tyce hit. w

marissa [1.9K]

Answer: 9/20

Step-by-step explanation:

From the question, we are informed that Tyce hit 3/5 of the baseballs pitched to him during batting practice and that Mason hit 3/4 of the number of the pitched that tyce hit.

The fraction of pitches that Mason hit will be gotten by multiplying 3/4 by 3/5 This will be:

= 3/4 × 3/5

= 9/20

6 0

2 years ago

the area of a triangle is given by the base x the height and then ÷ 2 write an expression for the area of a triangle with a base

harkovskaia [24]

Answer:

Step-by-step explanation:

8 0

2 years ago

Tim installs 50 square feet on his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?

Katena32 [7]

Answer:

445.5 minutes

or 7 hours 25 minutes 30 seconds

Step-by-step explanation:

We can use ratio's to solve

50 ft^2 495 ft^2

-------------- = ------------

45 minutes x minutes

Using cross products

50x = 45*495

50x=22275

Divide each side by 50

50x/50 = 22275/50

x =445.5

445.5 minutes

If we want to convert to hours and minutes, divide by 60

7 hours is 420 minutes

445.5 -420 = 25.5

7 hours 25 minutes

.5 minutes is 30 seconds

7 hours 25 minutes 30 seconds

6 0

2 years ago