MATHEMATICS COLLEGE

Factor the expression
X^2-9

Answers

Answer 1

Answer:

Answer:

(x+3)(x-3)

Step-by-step explanation:

x²-b² = (x+b)(x-b)

x²-9 = x²-3² = (x+3)(x-3)

Related Questions

Consider the statement p:x+9=10.which of the following is a equivalent statement
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Scott is a software salesman. Let represent his total pay (in dollars). Let represent the number of copies of History is Fun he sells. Suppose that and are related by the equation 80x+2100=y Answer the questions below.

Note that a change can be an increase or a decrease.

For an increase, use a positive number. For a decrease, use a negative number.

What is the change in Scott's total pay for each copy of History is Fun he sells?

What is Scott's total pay if he doesn't sell any copies of History is Fun?

Answers

Answer:

A. $80

B. $2100

Step-by-step explanation:

Given:

80x+2100=y

Rewrite the equation

y = 80x + 2100

Where,

y = Scott's total pay (in dollars)

x = number of copies of History is Fun he sells

2100 = fixed pay

Since, x = number of copies of History is Fun he sells

If x = 0

y = 80x + 2100

= 80(0) + 2100

= 0 + 2100

= 2100

y = $2100

If x = 1

y = 80x + 2100

= 80(1) + 2100

= 80 + 2100

= 2180

y = $2180

change in Scott's total pay for each copy of History is Fun he sells = $2180 - $2100

= $80

B. What is Scott's total pay if he doesn't sell any copies of History is Fun?

That is, when x = 0

y = 80x + 2100

= 80(0) + 2100

= 0 + 2100

= 2100

y = $2100

A and B and vertical angles. If A=(2x-10) and B= (x+8), find the measure of A

Answers

Answer:

Step-by-step explanation:

2x-10=x+8

2x-x=8+10

x=18

Answer is 18 hoped this help

Find the parametric and symmetric equations for the line passing through the points P1=(2,2,3) and P2=(1,3,−1) . NOTE: this problem does not have a unique answer unless we specify how to choose the direction vector v (see pages 610 and 611). In order to obtain the required solution for this problem use the vector v=P1−P2 (see page 585). Further, you need to use the given point P1 in the formula. PARAMETRIC: x(t)= y(t)= z(t)= SYMMETRIC: (quotient involving x ) = (quotient involving y) = (quotient involving z ) =

Answers

Answer:

parametric equation: q = (2-t)x + (2+t)y + (3-4t)z

symm equation: $(x-2)/(-1) = (y-2)/(1) = (z-3)/(-4)$

Step-by-step explanation:

Parametric equation is just like the point slope equation:

y= b + mx

but in this case we have multiple variable so it'll be

q= p₀ + dt

p₀ will be any of your point. d will be the vector containing points shared by both your vector. It can be found by subtracting your two points together.

t is just an arbitrary variable.

Solve for d=p₂ - p₁ , you can also do d=p₁ - p₂

Now plug it into your q= p₀ + dt equation.

You can plug p₂ or p₁ in for p₀. I used p₁.

The result should give you the parametric equation.

Now solve for all of them in term of t. This step is just basic algebra.

since they're all t=..., then you can set them all equal to each other to get the symmetric equation.

A ladder is leaning against the side of a 10 m house. If the base of the ladder is 3 m awayfrom the house, how long is the ladder? Please draw a diagram.

Answers

Answer: It depends on how you round but about 10.44 m.

Step-by-step explanation:

Nicole just lit a new candle and then let it burn all the way down to nothing. Theinitial length of the candle was 12 inches and the candle burned at a rate of 1.5 inches
per hour. Make a table of values and then write an equation for L, in terms oft,
representing the length of the candle remaining unburned, in inches, t hours after the
candle was lit.

Answers

Answer: first one is 12 then second one is 10.5 then the third 9 then the fourth one is 7.5

Step-by-step explanation:

Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)

O(-5,4)

O(-1,1)

Answers

Answer:

B. $B = (4,-2)$

Step-by-step explanation:

GIven that $A = (-2, 2)$ and $M = (1, 0)$ , and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

$M = (1)/(2)\cdot A + (1)/(2)\cdot B$

The location of B is now determined after algebraic handling:

$(1)/(2)\cdot B = M - (1)/(2)\cdot A$

$B = 2\cdot M -A$

Then:

$B = 2\cdot (1,0)-(-2,2)$

$B = (2\cdot 1, 2\cdot 0)-(-2,2)$

$B = (2,0) -(-2,2)$

$B = (4,-2)$

Which corresponds to option B.

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

$\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)$