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SashulF [63]
3 years ago
10

How do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

{(x - m)}^{2 + n}

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

You might be interested in
Simplify the expression -3 divided by -2/5.
Romashka [77]
You can either convert -3 into a fraction, or convert -2/5 into a decimal so you can solve this.
If you decide to convert -3, into a fraction, it would be -3/1, and you'd have to multiply that by the reciprocal of -2/5.
So, you'd have -3/1(-5/2)=15/2, which can be simplified to 7 1/2.
If you decide to convert -2/5 into a decimal, you would get -0.4. You would then divide -3 by -0.4, which is equal to 7.5.
Both 7.5 and 7 1/2 are correct answers, and if you were to convert 7.5 into a fraction and 7 1/2 into a decimal, you would notice that they are the same number, but in different forms.
5 0
3 years ago
6.5 x 1/9 please help
hjlf

Answer:

13/18

Step-by-step explanation:

  • 6.5 · 1/9 = 6 5/10 · 1/9
  • 6 5/10 · 1/9 = 6 1/2 · 1/9
  • 6 1/2 · 1/9 = 13/2 · 1/9
  • 13/2 · 1/9 = 13/18

Therefore, 6.5 · 1/9 = 13/18.

7 0
2 years ago
a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
1 year ago
In a whole 40% is 1380 what does the other 60% equal
Karolina [17]
If you divide 2380 by 4, it will give you 10% of the whole:

1380/4=345

Then you can times 345 by 6 To find the 60%:

345*6=2070

PS Please check my calculations with a calculator as I worked these out in my head.
5 0
3 years ago
1. A company uses a computer to identify their 600 most loyal customers
Rasek [7]

Answer:

A blood bank needs 6 people to help with a blood drive. 11 people have volunteered. Find how many different groups of 6 can be formed from the 11 volunteers.

Step-by-step explanation:

A blood bank needs 6 people to help with a blood drive. 11 people have volunteered. Find how many different groups of 6 can be formed from the 11 volunteers.

6 0
3 years ago
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