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Whitepunk [10]
3 years ago
10

How do you factorise x^2 - 9.

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0
X ^ 2 - 9

= x ^ 2 - 3 ^ 2

It turns into 3 ^ 2
Because 3 ^ 2 = 9

The final answer is
= ( x + 3 )( x - 3 )

remember the formula :

a^2 - b^2 =(a+b)(a-b)
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What four consecutive intergers have a sum of -34
Ivenika [448]

Answer:

-7, -8 , -9 and -10 are such four integers.

Step-by-step explanation:

Let the first integer = k

So, the next three consecutive integers are ( k+1), ((k + 1) + 1)  and (((k + 1) + 1) +1)

or, k , (k +1), (k +2) and (k +3) are four consecutive integers.

Now, their sum is -34.

⇒k   + (k +1) +  (k +2) +  (k +3)  = -34

or, 4k  + 6 = -34

or, 4k = - 34 - 6 = -40

⇒  k = -40/ 4 = -10

Hence, the first integer k = -10

The next integer = k + 1 = -10 + 1 = -9

Similarly next two integers are -8 and - 7.

So -7, -8 , -9 and -10 are such four integers.

7 0
3 years ago
Help please and im writing this since it needs 20 characters
Marat540 [252]

Answer:

65% !

Step-by-step explanation:

Plz mark as brainliest!

5 0
3 years ago
Solve it by Substitution
natka813 [3]
30 in each bus. 17 in each van

To solve this problem, we first have to create a system of equations. After that, you set the equations equal to each other, and use that to simplify and find the value of one variable. Once that is found that answer can be plugged into one of the two original equations to find the other variable.

7 0
2 years ago
If there are 9 stars for every 2 hearts, how many stars for 4 hearts?
Archy [21]

Answer:

18 stars

Step-by-step explanation:

We can use a ratio to solve

9 stars           x

---------    = -----------

2 hearts        4 hearts

Using cross products

9*4 = 2x

36 = 2x

Divide by 2

36/2 =2x/2

18 =x

18 stars

3 0
3 years ago
Read 2 more answers
What is the value of h when the function is converted to vertex form?
Dmitrij [34]

Answer:  The value of 'h' is 3.

Step-by-step explanation:  Given that the vertex form of a function is given by

g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of 'h' when the following function is converted to the vertex form.

g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (ii), we have

g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.

Comparing it with the vertex form (i), we get

h=3.

Thus, the value of 'h' is 3.

4 0
3 years ago
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