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Annette [7]
3 years ago
16

Which shows the factored form of x2-12x-45

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

(x+3)(x-15) is the required factorized form of the given expression.

Step-by-step explanation:

The given equation is:

x^2-12x-45, we have to factorized this equation,

Upon solving the above equation, we get

⇒x^2-15x+3x-45

⇒x(x-15)+3(x-15)

⇒(x+3)(x-15)

which is the required factorized form of the given expression.

Gelneren [198K]3 years ago
4 0
<span>x^2 - 12x - 45
= (x - 15) (x + 3) .........</span><span>factored form</span>
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List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds t
loris [4]
7 + 3.(2 - 3x) = 67
3 brackets are distributed

7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9
8 0
3 years ago
Can someone please give me the answers to this? ... please ...
Hoochie [10]

Step-by-step explanation:

come on ! based on all the other questions that have been answered AND explained you should be able to find these answers yourself now. what is still unclear ?

distance between 2 points (x1, y1) and (x2, y2):

Pythagoras : c² = a² + b²

c is the connection between the 2 points (and which length we need to find).

c = sqrt(a² + b²)

a and b are differences of the x coordinates and the differences of the y coordinates of these 2 points.

a = x1 - x2

b = y1 - y2

this is simply because, when you look at the coordinate grid, these 3 items make a right-angled triangle.

don't worry about any negative values for a and b, as the square eliminates the negative sign.

midpoint between 2 points :

we could use Pythagoras again for this, but the end result is so simple, we can skip this.

at the end the coordinates of the midpoint of 2 points (x1, y1) and (x2, y2) are

((x1+x2)/2, (y1+y2)/2)

find the other endpoint (x2, y2), when you have one endpoint (x1, y1) and the midpoint (xm, ym) :

from above you know

xm = (x1+x2)/2

2×xm = x1 + x2

x2 = 2×xm - x1

and in the same way

ym = (y1+y2)/2

2×ym = y1 + y2

y2 = 2×ym - y1

and you can read a graph, right ?

if not it is high time to learn that very simple and basic skill :

the x coordinate of a point is how many units right (positive) or left (negative) from the center point it is.

the y coordinate of a point is how many units above (positive) or below (negative) from the center point it is.

the center point is always (0, 0).

so, what else do you need ?

I am very busy explaining things. I should not spend my little time doing the basic calculations for you (that I could train a monkey to do).

so, please, oil your brain machinery by following the instructions and formulas using the actual numbers and see how the results build out of this.

if you run into further problems, please ask me for additional explanations.

8 0
3 years ago
Which is the most accurate way to estimate 66% of 14?
Svetlanka [38]

Answer:

9.1

Step-by-step explanation:

Typically when a question starts with which that means there are several options to choose from. Or multiple choice. Since you haven't provided that here, I'll tell you how I would estimate it.

50% of 14 is 7

10% of 14 is 1.4

5% of 14 is 1/2 of 10% of 14 which is 0.7

50% + 10% + 5% = 65%

Add them together: 7+1.4+0.7 = 9.1

6 0
2 years ago
The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Use an expone
ehidna [41]

Answer:

The estimated Rabbit population by the year 2036 is 32,309 rabbits

Step-by-step explanation:

In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.

An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.

Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I

Mathematically, we have the decay function as;

P = I(1-r)^t

From the question, we identify these values as;

P = 144,000 : r = 7.2% =  7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years

Let's plug these values;

P = 144,000(1-0.072)^20

P = 144,000(0.928)^20

P=  32,309

5 0
3 years ago
HELP ME PLZ and this asks to show your work so plz do
skelet666 [1.2K]
The surface area of a three dimensional object is the sum of the areas of all its faces. Here we have a net of triangular prism, which if we were to fold would form a three dimensional shape.

We need to find the area of each face. Let's begin with the rectangle in the center which can be found by calculating its length times width:

26 * 10 = 260 in^2

Next, let's find the area of the other two rectangles. Although it does not specify that these rectangles are congruent (meaning the same), we know that they are because if they were different sizes, the prism would not fit together when folded. We can find the area of one rectangle and multiply by two:

26 * 13 = 338

338 * 2 = 676 in^2

Lastly, we have two triangles which are congruent for the same reason as the rectangles. The area of a triangle can be found by calculating one-half the base time the height:

0.5 * 10 * 12 = 60

Times two since there are two triangles:

60 * 2 = 120 in^2

Add up the areas:

260 + 676 + 120 = 1056 in^2

Multiply the surface area by 6 because there are 6 packages:

1056 * 6 = 6336 in^2

The answer is C.




8 0
3 years ago
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