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AysviL [449]
3 years ago
8

Given the following perfect square trinomial, fill in the missing term. x^2 - 6x + __

Mathematics
1 answer:
lukranit [14]3 years ago
7 0
For
ax^2+bx+c
if a=1 then
take 1/2 of b then square it, that will be c in the perfect square trionomial

1x^2-6x+c
a=1
b=-6
so
-6/2=-3, (-3)^2=9
c=9



x^2-6x+9
which factors to
(x-3)^2
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How does the area of the polygons compare to π? ( π is 3.14)
soldi70 [24.7K]

The area of the polygons compare to π in the way that as more angles and sides are added to a polygon the polygon becomes closer to a circle; the perimeter slowly changes to circumference. Π is used to find the area and circumference of a circle, so as polygons come closer to becoming circles π becomes more strongly associated to the polygon. You can even use π to find the approximate area of a circle if you use the same formula (as you would to find the area of a circle) on a polygon. Another way to go about it is like this…

You can find the area of a circle if you know the circle’s circumference by using these steps:

<span>1.         Divide the circumference by π to find the diameter of the circle.</span>

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5 0
2 years ago
Read 2 more answers
Zoe is solving the equation 3x – 4 = –10 for x. She used the addition property of equality to isolate the variable term as shown
kherson [118]
3x-4 = -10

3x-4 +4 = -10 +4

3x = -6

then you can divide it :

x = -6 : 3

x= -2
3 0
3 years ago
a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
Help guys, please I needed this answer!
Alla [95]

Answer:

(-3, ∞)

Step-by-step explanation:

Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.

We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.

Therefore, the answer is (-3, ∞)

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3 years ago
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