simplify [tex]x^{2} +10x+9[/tex]

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} x^2+10x+9=0 \\\\ x^2+\underbrace{x+9x}_{10x}+9=0 \\\\x^2+x+\underline9x+\underline9=0 \\\\x(x+1)+9(x+1)=(x+9)(x+1)[/tex]


Related Questions

sunayana borrowed a sum of rs 12,500 at 12% per annum simple interest for 1 year and 6 months and lent to bishwant at the same rate of compound interest compounded half yearly for the same interval of time. how much profit did she make?​

Answers

Answer:  Rs 137.70

============================================================

Explanation:

6 months = 1/2 year = 0.5 year

1 year, 6 months = 1 yr + 0.5 yr = 1.5 years

Sunayana borrows Rs 12,500 at 12% annual interest for 1.5 years

The amount simple interest she must pay back is

i = p*r*t

i = 12500*0.12*1.5

i = 2,250

The amount of simple interest she must pay back is Rs 2,250 which is on top of the principal Rs 12,500

The total amount she must pay back is p+i = 12,500+2,250 = 14,750

Let x = 14,750 so we can use it later.

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

She lends that Rs 12,500 to her friend and this amount is compounded half yearly, aka semiannually. So we'll use n = 2.

The amount Bishwant must pay back to her is

A = p*(1+r/n)^(n*t)

A = 12500*(1+0.12/2)^(2*1.5)

A = 14,887.70

Let y = 14,887.70 so we can use it later.

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

Subtract the values of y and x to get the profit she makes

profit = revenue - costs

profit = y - x

profit = 14,887.70 - 14,750

profit = 137.70

The profit is Rs 137.70

This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

if this value 35% less than the total, we conclude that:

42,900 = 65%

1% = 660

100% = 66,000

if you want to check the value, just do 65% of 66000, which equals to 42,900

hope it helps :)

Which data set could be represented by the box plot below?

Answers

Answer:

Step-by-step explanation:

B

Answer is B


Explanation:

Can someone help me on any of the problems that are circled

Answers

15. Is $52.50 I think

How many degrees are in 25n/18?

Answers

Answer:

250°

There are 250°

write in simplest form :
36 minutes to 3/2hrs​

Answers

Answer:

⅗hrs

Step-by-step explanation:

1hr =60 min

? = 36 min

cross-multiply .........

36 min × 1hr/60 min= 36min/60min × 1hr

=36/60 × 1 hr

= ⅗hrs

please help!! geometry also might ask another question in the comments so be able to answer and I’ll mark you brainliest later :)

Answers

Coordinate of D: (2, -2)

Multiply x and y by 0.5

Answer: D = (1, -1)

1. Match the letter of the centre to the lines that define it.
A Orthocentre
B. Incentre
C. Centroid
D. Circumcentre
median
altitude
perpendicular bisector
angle bisector

Answers

Answer:

A. (Orthocenter) → Altitude

B. (Incenter) → Angle bisector

C. (Centroid) → Median

D. (Circumcenter) → Perpendicular bisector

Step-by-step explanation:

A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter A is altitude

B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter B is angle bisector

C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter C is median

D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter D (which corresponds with the circumcenter) is perpendicular bisector.

homework 3 distance and midpoint formulas
find the distance between each pair of points
-6' -5 and 2' 0

Answers

Step-by-step explanation:

-6-2=-8

-5-0=-5

-8^2+-5^2=64+25=89

square root of 89=9.4

Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish and the total was $23 - how many of each fish did she buy?

Answers

Answer:

8 salt water

7 fresh water

Step-by-step explanation:

Let's represent salt water fish with the variable "s" and fresh water fish with the variable "f".

We can make a system of equations - one equation for the number of fish and the other for the price of the fish.

We know that the total number of fish Laura has is 15, and the total price of the fish was $23.

s + f = 15 2s + f = 23

Solve the system of equations by subtracting the bottom equation from the top equation.

-s =-8s = 8

Laura bought 8 salt water fish. Since the total number of fish is 15, the number of fresh water fish must be 7.

Answer:

8  

7

Step-by-step explanation:

Let the number of fresh water be: - x

Number of salt fishes be 15 - x

x + 2 (15 - x) = 23

x + 30 - 2x = 23

x = 7

Number of fresh water fish bought: -7

Number of salt water fish bought by: -15 -7 = 8

The number of bags of Brand Y dog food sold on these five days was 175. Which bar represents the data for Day 5 for Brand Y?

Answers

Answer:

30

Step-by-step explanation:

Match the part of the circle to its correct name.

Answers

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Round 2.12747677748 to the nearest ten-thousandth.

Answers

Answer:

2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.

Step-by-step explanation:

Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.

Consider the functions F and G in the tables below
PLEASE HELP PLEASE

Answers

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

PLEASE HELP ME!!! It’s due before 7pm

Answers

Step-by-step explanation:

Solution:Total length of the board=95 cm

:One piece must longer 13 cm than other piece

Equation:95cm=X+X+13cm

:95cm-13cm=2x

:82cm=2x

:X=41 cm-Length of the smaller piece

:X=41cm +13cm=54cm-Length of the larger piece

Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.

If a moped goes 30 miles per hour, how many hours will it take to travel
217.5 miles?

Answers

It would take 7.25 Hours

217.5/30= 7.25

Answer:

217.5

Step-by-step explanation:

There are two ways to do this problem, first dividing to find the missing value. It will look like this:

217.5 ÷ 30 = 7.25

Or, using random numbers and multiplying it by 30, which is like this:

30 × 10 = 300

30 × 4 = 120

30 × 7 = 210

30 × 7.1 = 213

30 × 7.25 = 217.5

On the graph of an exponential function representing growth, what happens to the slope of the graph? The slope:
a. increases
C stays the same
b. decreases
d. there is no slope
Please select the best answer from the choices provided
B
оооо
D
Next
Submit

Answers

Answer:

a. Increases

Step-by-step explanation:

An exponential graph starts rising gradually and then starts to steeply incline.

In other terms, the derivative of an exponential function shows us that the slope of the exponential function increases as the inputs increase.

∴ our answer is A.

Find the image of the given point
under the given translation.
P(-7,1) T(x,y) = (x + 9, y-3)
P' = ([?], []).

Answers

Answer:

P' = (2, -2)

Step-by-step explanation:

You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).

Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).

Find the volume of this square
based pyramid.
10 cm
8 cm
8 cm
V = [?] cm3

Answers

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

The volume of the given square pyramid is 480 cubic centimeter.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Slant height of pyramid is 10 cm and base is 8 cm.

The volume of square based pyramid =a²h/3.

Now, volume = (8²×10)/3

= 213.33 cubic centimeter

Therefore, the volume of a square pyramid is 213.33 cubic centimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Correct answer gets brainliest and 5 stars

Answers

Answer:

10 units

Does the answer help you?

Answer:

there is 10 units between LAnd M

what is the measure of angle A

Answers

Answer:

a = 53

Step-by-step explanation:

Start with d

The ends of d + 53 are diameter ends. That means that d + 53 is a right angle

d + 53 = 90

d = 90 - 53

d = 37

Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53

b = 106

c is the supplement of b

c + b = 180

b = 106

c + 106 = 180

c = 180 - 106

c = 74

The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.

a + a + 74 = 180

2a = 180 - 74

2a = 106

a = 106/2

a = 53

Hard to believe, but there it is.

ac circular runway has a radius of 100 m.Find the distance covered by a person in one complete rotation .​

Answers

Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

please mark me brainliest

Ken needs a surgery on his foot. The estimated cost of the surgery is $5,000. The insurance policy provided by Ken's company has $500 deductible and 20% co-pay. How much will Ken have to pay for foot surgery?

Answers

9514 1404 393

Answer:

  $1400

Step-by-step explanation:

Ken will be required to pay the deductible and 20% of the remaining amount.

  Ken pays $500 + 0.20(5000 -500) = $500 +900

  Ken pays $1400

can i get some help on this question please? ASAP!!

Answers

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

HELLLP ASAP FIRST PERSON WITH CORRECT ANSWER WILL RECEIVE BRAINLIEST


Lines l and m are perpendicular. A point Q has this
property: rotating Q 180 degrees using center P has the
same effect as reflecting Q over line m.
a. Give two possible locations of Q.
b. Do all points in the plane have this property?

Answers

Answer:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M  

Step-by-step explanation:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).

Construct a function with a rate of change of 1/3 and an initial value of -3.
(put your equation in slope-intercept form y = mx +b)

Answers

So you pretty much have all you need. 1/3 represents slope, and slope is m. Initial value would be your y intercept which is b.

y=1/3x-3

Answer:

y = x/3 - 3

Step-by-step explanation:

x/3 is the equivalent of 1/3(x)

what is the total cost

Answers

Answer:

Step-by-step explanation:

We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?

C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,

C = (3.14)(26) so

C = 81.64 m for a whole circle, and for half of that circle, the circumference is

C = 40.82 m

Now we can find the perimeter of the rink:

40.82 + 61 + 26 + 61 = p so

p = 188.82 m

If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is

[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with

cost = $1170.82

HELP THANKS SO MUCH BRAIN FOR CORRECT

Answers

Answer:

i think the answet is 0.625

Question 4 of 10
What are the end behaviors of f(x) = -2(x -17)4?
A. The left end goes down; the right end goes up.
B. The left end goes up; the right end goes down,
C. Both ends go down
D. Both ends go up.
SUBMI

Answers

Answer:

Both ends go down

Step-by-step explanation:

The end behavior of the function are Both ends go down. Therefore, Option C is true.

Given that,

The function is,

[tex]f (x) = - 2 (x - 17)^4[/tex]

Now the given function is defined at x → ∞,

f (x) = - 2 × ∞

f (x) → - ∞

As x goes to -∞

f(-∞) = -2(-∞)⁴

= -2 (∞)

= -∞

So, Both ends go to  -∞, or go down

Hence, The end behavior of the function are Both ends go down.

Therefore, Option C is true.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

I need help please! Will mark brainliest! (both are seprate questions!

Answers

This answer is of no 1

Step-by-step explanation:

if you want to find volume of cone you must you this formula: hπr² so 10*π(3)*r²(4)= 120ft² and

if you want to find volume of cylinder you should use this formule: πr²*h/3 =π(3)*r²(4)*h(3)/3= 12 the figure has 132 volume in totally.

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