What number should be added to both sides of the equation to complete the square x^2+3x=6

1 answer:

8 0

Take half of the coefficient of x: It is 3, and half that is 3/2.

Then x^2+3x=6 becomes:

 x^2+3x + (3/2)^2 =6 + (3/2)^2, and

(x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

Solve (x+3/2)^2 = 6 + 9/4 for x. There will be 2 values.

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A military plane is flying directly toward an air traffic control tower, maintaining an altitude of 9 miles above the tower. The

lozanna [386]

Answer:

-937.5 mph

Step-by-step explanation:

Assuming this takes place in a right angled triangle. With the hypotenuse side being, d, 15 miles, the opposite side being 9 miles and the adjacent being an unknown, x.

Using Pythagoras theorem, we know that

x² = 15² - 9²

x² = 225 - 81

x² = 144

x = √144

x = 12 miles.

Again, we should know that

2xx' = 2dd', this means that

xx' = dd'

From the question, we're told that it's decreasing at d' = 750 mph. On substituting, we have

x' = dd' / x

x' = (15 * -750) / 12

x' = -11250 / 12

x' = -937.5 mile per hour

The ground speed of the plane is also decreasing at 937.5 mile per hour

6 0

3 years ago

Which equation represents the line 2x + y = 9 in slope-intercept form?

andriy [413]

Answer:

y=-2x+9

Step-by-step explanation

you would subtract 2x on both sides resulting in y=-2x+9 and you have the answer. Your slope is is -2 and y-intercept is 9

3 0

3 years ago

Use properties of operations to determine whether 4r + 4t and 4(r+t) are equivalent. Explain your answer.

Vikki [24]

There is only one property used to determine whether

$4r+4t=4(r+t)$ .

The property is called the distributive property and in a nutshell it states, $a(b+c)=ab+ac$ , which means $a$ is distributed through $b+c$ using multiplication. So $4(r+t)$ says, distribute $4$ to $r$ and $t$ which then translates into $4r+4t$ .