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solmaris [256]
2 years ago
5

Identify the steps to completing the square. Its on my algebra 2 homework and i have no idea what it means

Mathematics
1 answer:
Mrrafil [7]2 years ago
4 0
1. your leading coefficient has to be 1 (nothing before the x^2). If there is you have to divide that out before you start.
2. Move your constant (the number without any x attached) to the other side of the equation
3. take 1/2 of the b term (the one with the x attached) and then square it and then add it to both sides
4. Factor the left side
5. Set each factor equal to 0 and solve

Here is an example:

4x^2-24x+20=0
The first term is not a 1 so we have to divide it out by 4 first
x^2-6x+5=0
Move the 5 to the other side.  It becomes negative.
x^2-6x=-5
Take 1/2 of 6 (3) then square it (9) and add it to both sides.
x^2-6x+9=-5+9
Factor the left side
(x-3)(x-3)=4
(x-3)^2=4
To solve you need to square root both sides
x-3=+/-
x-3=+/-2
x=3+2=5
x=3-2=1
Those would be your two answers.

<span>Hope that helps</span>
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Anybody know where the fractions go?
Nikolay [14]
Wish i could help :(
8 0
3 years ago
Write the equation of a line that is perpendicular to y=-2/7x + 9 and that passes through the point (-4,6) [FP]​
siniylev [52]

Answer:

$y=(7/2)x+20$

Step-by-step explanation:

SInce the gradient of the first line is $-2/7$ then the gradien of the perpendicular line is $7/2$.

Therefore by the point slope formula the line that we are looking for is

$y-6=(7/2)(x+4)$

$y=(7/2)x + 20$

7 0
3 years ago
I don’t know how to do it please help
madreJ [45]

Answer:

37.5

Step-by-step explanation:

First you have to realize that these are similar triangles.

You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.

put the smaller above the decimal and the bigger one below like this.

\frac{8}{25}=\frac{12}{x}

Now cross multiply

8x=300

x=37.5

5 0
3 years ago
In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST
pav-90 [236]

Answer:

ST = 12 units

Step-by-step explanation:

As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.

If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST

Using a rule of three with the sides of the triangle (as they are proportional), we have:

RS / ST = AR / ET

(21 - ST) / ST = 6 / 8

4 * (21 - ST) = 3*ST

84 - 4*ST = 3*ST

7*ST = 84

ST = 12 units

5 0
3 years ago
What's the ratio in simplest form 60 to 30​
Nikitich [7]

Answer:

2:1

Step-by-step explanation:

because 60 split in half is 30

and 30 split in half is 15

then if you divide both numbers by 5 then you get 6:3

6:3 is equivalent to 2:1

sorry im a little late, hope this helped though.

4 0
2 years ago
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