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3 years ago

What number should be added to both sides of the equation to complete the square? x² - 6x=5

Mathematics

2 answers:

Neko [114]3 years ago

8 0

Answer:

x= ±√14+3

Step-by-step explanation:

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fiasKO [112]3 years ago

4 0

You should add 5 to both sides

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

3 years ago

Which of the following could be the lengths of the sides of a 45°-45°-90° triangle?

REY [17]

I think the answer is c

4 0

3 years ago

Use the simplest interest formula to find the ending balance $5,000 at 5% for 3.5 years

Maksim231197 [3]

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3 years ago

Read 2 more answers

PLEASE HELP

Oksi-84 [34.3K]

The answer is D) s/cos55°

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3 years ago

3r+2e=-6 what is the correct answer for that

sp2606 [1]

linear equation

hope it helps

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3 years ago