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Ann [662]
3 years ago
7

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

Mathematics
1 answer:
Allisa [31]3 years ago
8 0
Take half of the coefficient of x:  It is 3, and half that is 3/2.


Then   <span>x^2+3x=6  becomes:

</span><span>           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?

</span>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<br> 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.

4 0
2 years ago
PLEASE HELP<br> 2!/0!=<br> 0<br> 2<br> undefined
GuDViN [60]

Answer:

2

Step-by-step explanation:

any expression divided by 1 remains the same

you can also calculate the factorial

6 0
3 years ago
Saturn's average distance from then sun is about 900 million miles.what is that distance in scientific notation?
IRINA_888 [86]
900,000,000. move the decimal until you have a number between 1-10 so move it 8 times and you'll have 9×10^8
3 0
3 years ago
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