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Gwar [14]
2 years ago
13

X^2 -9X = 0. Factor and use the Zero property to solve

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
5 0
The first step of factoring is to try to factor out a common factor.
The terms x^2 and -9x have the factor x in common.
Factor out x from both terms.

x^2 - 9x = 0

x(x - 9) = 0

Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.

x = 0   or   x - 9 = 0

x = 0   or   x = 9

Answer: x = 0 or x = 9
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Write a situation that can be represented by the expression 3a+6 where a=age in years
mars1129 [50]
This equation can be used when comparing ages.

An example to illustrate this:
Assume that adding 6 to 3 times the age of Jack will give us the age of his grandfather.
When translating this into equations, assuming that the age of jack is "a" and the age of his grandfather is "b", we will find that:
b = 6 + 3a
7 0
3 years ago
Need help as fast as possible please
ankoles [38]

Answer:

Correct Answer

Step-by-step explanation:

Mark as brainliest now NOW!

4 0
3 years ago
the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
miss Akunina [59]
The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
7 0
3 years ago
Algebra
vladimir2022 [97]
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together. 
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2

Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3

Check... (x = 3, y = 2)
2(3) + 3(2) = 12 
6 + 6 = 12
12 = 12 <- this works! 

4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
5 0
2 years ago
Read 2 more answers
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs
motikmotik

Answer:

19

Step-by-step explanation:

The ratio of green beans (g) to pumpkin (p) is ...

... g : p = 1 : 5

Then the ratio of green beans to the total is ...

... g : (g+p) = 1 : (1+5) = 1 : 6

Since you have

... g/total = (1/6)

... g = total · 1/6

you can substitute 114 for the total to find ...

... g = 114 · 1/6 = 19

6 0
3 years ago
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