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3 years ago

Solve the equation by completing the square 5x(x+6)=-50

1 answer:

3 0

First lets distribute the 5x
5x^2 + 30x = -50

Lets divide every term by 5
x^2 + 6x = -10

To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9

Add that to both sides of the equation
x^2 + 6x + 9 = -1

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)

(x+3)^2 = -1

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i

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The expression for the distance traveled is rt where r represents rate and t represents time.

astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

35,000 ft = 6.6 mi

1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

8 0

3 years ago

Find the distance between A (6, -1) and B ( -18, 15)

timama [110]

Answer:

8√13 units

Step-by-step explanation:

We use the distance formula.

The distance formula states that the distance between two points (x, y) and (a, b) is equal to:

d = $\sqrt{(x-a)^2+(y-b)^2}$

Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:

d = $\sqrt{(x-a)^2+(y-b)^2}$

d = $\sqrt{(6-(-18))^2+(-1-15)^2}=\sqrt{24^2+(-16)^2} =\sqrt{576 + 256} =\sqrt{832}$ = 8√13

The answer is thus 8√13 units.

~ an aesthetics lover

7 0

3 years ago

Read 2 more answers

What is the degree of the polynomial?

DIA [1.3K]

Answer:

Step-by-step explanation:

The degree of the polynomial is the highest exponent of an expression. When more than one variable is present, its is the sum of exponents on one term in the expression.

The polynomial has terms xy, 3x^2, -7 and x. The term with the highest exponent sum is xy or 3x^2. Both have degree 2. The degree of the polynomial is 2.

8 0

3 years ago

Lines a and b are parallel.

VashaNatasha [74]

I have added a screenshot with the complete question along with a diagram representing the scenario.

Answer:
s = 22°

Explanation:
1- getting the top right angle of line B:
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
Top right angle of line B = 158°

2- getting the value of s:
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
s = 22°

Hope this helps :)

8 0

3 years ago

Identify the subsets of real numbers to which the number 25√ belongs.

Radda [10]

It would be rational

8 0

3 years ago

Read 2 more answers