MATHEMATICS HIGH SCHOOL

Find the product of (x + 5)(x − 5).x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25

Answers

Answer 1

Answer: x^2 -25
All I did was divide both and I got the answer.

Answer 2

Answer:

Answer: x^2 - 25

Explanation:

Here is a tip/ shortcut to multiplying binomials in the (a + b)(a - b) format.

The only things you have to look for is the factor of a * a and the factor of b * b.

The reason being, a * -b and b * a cancel each other out no matter what.

For example

1. (x + 5)(x - 5) Multiply $x_(1)$ by $x_(2)$

x * x = $x^(2)$

2. (x + 5)(x - 5) Multiply $x_(1)$ by -5 in the second binomial

x * -5 = -5x

3. (x + 5)(x - 5) Multiply 5 in the first binomial to $x_(2)$

5 * x = 5x

4. (x + 5)(x - 5) Multiply 5 in the first binomial to -5 in the second binomial

5 * -5 = -25

5. Now that you have all of your answers, write your equation, in order, to look like this.

$x^(2)$ - 5x + 5x - 25

6. -5x and 5x cancel each other out when combining like terms so you're left with.

$x^(2)$ - 25

In the end, steps 2, 3, 5, and 6. can be taken out by doing this.

Just multiply $x_(1)$ by $x_(2)$ to get $x^(2)$

Then just multiply 5 in the first binomial to -5 in the second binomial to get -25

Then write your answer.

$x^(2)$ - 25

This works because there is no need for steps 2,3,5, and 6 since they lead to the same outcome from doing steps 1 and 4.

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Solve the system of equations2x+6y=-6, 4x-3y=-12
what is the solution to the system of equations

Answers

2x + 6y = -6 ...(1)

4x - 3y = -12 ...(2)

We can use the method of substitution or elimination to find the solution. I will use the method of substitution.

From equation (1), we can solve for x in terms of y:

2x = -6 - 6y

x = (-6 - 6y)/2

x = -3 - 3y

Now, substitute this value of x into equation (2):

4(-3 - 3y) - 3y = -12

-12 - 12y - 3y = -12

-15y = 0

y = 0

Substitute this value of y back into equation (1) to find x:

2x + 6(0) = -6

2x = -6

x = -3

Therefore, the solution to the system of equations is x = -3 and y = 0.

hope this helps

Answer:

x = -3, y = 0

Step-by-step explanation:

2x+6y=-6 equation1

4x-3y=-12 equation2

multiply equation2 by 2

2[ 4x-3y=-12]

8x - 6y = -24 equation3

add equations 1 & 3

2x+6y=-6

8x - 6y = -24

--------------------

10x = -30

x = -3

substitute x = -3 to any of the equations

I will use equation1

2x+6y=-6

2(-3) + 6y = -6

-6 + 6y = -6

6y = 0

y = 0

Copy and complete:
__:11= 1/3 :6

Answers

Answer:

11/18:11=1/3:6

Step-by-step explanation:

x:11=x/11 so

x/11=1/3/6

x /11=1/3*6

x=11/18

True or false?30 is divisible by 2, 4, 5, and 10. hurry please trying to go get my nails done

Answers

Answer:

It's false see 4 cannot go into 30 can I have

brainly?:)

Step-by-step explanation:

30 is not divisible by 4. The answer is false

Which equation represents a line that is parallel to the line whose equation is y = -3x - 7?y = 3x + 4
y = -3x + 7
y = (1/3x) + 1
y = (-1/3x) + 2

Answers

Hello,

Only the answer B has the same slope of -3

16 is what percent of 64

Answers

16 / 64 is the same as 1/4 because 16 is 1/4 of 64.

1/4 in percent form is 25%

So, 16 is 25% of 64.

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 64 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 64, so we can write it down as 100%=64.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=64
2) x%=16
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=64/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 64

100%/x%=64/16
(100/x)*x=(64/16)*x - we multiply both sides of the equation by x
100=4*x - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
16 is 25% of 64

Variable p is 2 more than variable d. Variable p is also 1 less than variable d. Which pair of equations best models the relationship between p and d? p = d + 2
p = d – 1
p = d – 2
p = d + 1
d = 2p
d = 2p – 1
d = 2p
d = 2p + 1

Answers

If you would like to find a pair of equations that best models the relationship between p and d, you can do this using the following steps:

p is 2 more than d ... p = d + 2
p is 1 less than d ... p = d - 1

The correct result would be p = d + 2 and p = d - 1.

The pair of equations that models the relationship between p and d are expressed as: p = d + 2, and p = d - 1.