4x2 - 9y2 – 20x + 25

Answers

Answer 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y

.

(2x−5+3y)(2x−5−3y)

Step-by-step explanation:

hope this helps


Related Questions

If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all

Answers

Answer:

gbklkijgggddfhokjvhjk

I'm soooo freakin' bad at math bruh....someone please help :/

28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?

a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7



29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?

a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes



30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.

a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.

Answers

28. C (-5 + -7) = -12 ; (-5)(-7)=35
29. B (12 nickels, 9 dimes) 60+90
30. C (width=3 in) (length=12 in) (3)(12)=36in^2

What is the equation of this line?
A. y=43x−4

B. y=34x−4

C. y=−4x+34

D. y=−4x+43

Answers

Answer:

Y=4/3x - 4

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,

Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3

The y-intercept of the line is -4, therefore, the equation of the line can be written as,

y = mx + c

y = (4/3)x - 4

Hence, the equation of the given line is y=(4/3)x-4.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

#SPJ2

A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.

SCREENSHOT OF GRAPH! HELP

Answers

Answer:

0.5 cm

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5.5) = (x_1, y_1) [/tex]

[tex] (8, 8) = (x_2, y_2) [/tex]

[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]

[tex] m = \frac{2.5}{5} [/tex]

[tex] m = 0.5 [/tex]

0.5 cm is gained per cup added.

The rise in height per cup will be 0.5 cm.

Given information:

The given graph displays the height of the stack in centimeters for different numbers of cups.

The given points on the graph are (3,5.5) and (8,8).

Now, the slope of the line joining these two-point will give the rise per cup.

So, the slope will be calculated as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]

So, the slope is 0.5 centimeters per cup.

Therefore, the rise in height per cup will be 0.5 cm.

For more details, refer to the link:

https://brainly.com/question/18896190

A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second. The elevator for the miners descends 13 feet per second. One day the equipment elevator begins to descend. After 18 seconds the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 19 seconds? At that time, which elevator is deeper?

Answers

Answer:

The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.

Step-by-step explanation:

The rate that both elevators descend are the same according to the information given in the question.

After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.

After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.

So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.

I hope this answer helps.

Jamaal is using a photo-editing computer program. He sets up the "F1" key to perform a 20% enlargement in both dimensions. He sets up the "F2" key to increase the picture size by 2cm in both dimensions. Then Jamaal sets up "F3" to do "F1" followed by "F2".


What is the equivalent function for a picture xcm by xcm?

A f3(x)=f2(f1(x))=1.2x+2
B f2 (x)+(fx+f1) (x)=2.2x=2
C f3 (x)=f1(f2(x))=1.2x+2.4
D f3 (x) = (f2 *f1)(x)=1.2x^2+2.4x

Answers

Answer:

A f3(x)=f2(f1(x))=1.2x+2

Step-by-step explanation:

The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x

Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.

So F2(x') = x" = x' + 2 = F1(x) + 2

F2(F1(x)) = x' + 2 = 1.2x + 2

F3(x) = F2(F1(x)) = 1.2x + 2

F3(x) = 1.2x + 2.

So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) =  1.2x + 2.

What are the roots of the quadratic equation y= x^2 - 10 x + 125

Answers

Answer:the roots is 2 10 and 125

Step-by-step explanation:used a caculator

Answer:

for me the answer is a but the root  is x=5+10i

Step-by-step explanation:

Which sequence of transformations will generate triangle A'B'C' from triangle ABC?

Answers

Answer:

C !!

when u reflect it the point "C" will be on -1,-1 and when u move it to the right two units it'll end up at point 1,1 matching it with point C'

the answer is C
explation

subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)

Answers

Answer:

-3+8i

Step-by-step explanation:

Charlie bought hamburgers today and drinks for his friends. Each burger cost $3.75 and each drink cost .50 cents. In total Charlie paid $25.50 for his order. Write an equation that represents the number of burgers he bought,h, and the number of drinks he bought ,d.

Answers

Answer:

3.75h + 0.5d = 25.50

Step-by-step explanation:

Let 'h' represent the number of hamburger.

Let 'd' represent the number drink.

From the question given:

We were told that a hamburger (h) cost $ 3.75.

Therefore, h number hamburger will cost = h × 3.75 = 3.75h

Also, we were told that a drink cost 0.50 cent.

Therefore, d number of drink will cost = d × 0.5 = 0.5d

In total Charlie paid $25.50 for his order i.e

Total cost of hamburger + total cost of drink = 25.50

Total cost of hamburger = 3.75h

Total cost of drink = 0.5d

3.75h + 0.5d = 25.50

Thus, the equation representing the number of hamburgers (h) and the number of drinks (d) that Charlie bought is given as:

3.75h + 0.5d = 25.50

plz help i dont know the answer

Answers

Answer:

Im not 100 percent sure but I think you have to do this

Step-by-step explanation:

Add all numbers together to find total students

Then add the students in Chemistry and Physics and both together

Then find what that number is in percent to the total students

Determine the distance from point (2,4) to (4,-2) Plz help asap

Answers

Answer:

Step-by-step explanation:

what is the value for y in the follower expression
When x= 14
Y=2x+5

Answers

Answer:9-8Step-by-step explanation:

Plug in x into the equation
It would look like y=2(14)+5
2 times 14 equals 28
Y=28+5
Y=33
Awnser is:33

The machine runs 10 hours a day for 5 days a week. How many gallons of yogurt are processed each week?

Answers

Answer:

30 gallons

Step-by-step explanation:

if it fills up 1600 tubs an hour then the answer should be 30 gallons.

The answer is gonna be 30 gallons

6 2/3 * -4 1/5 i really need help

Answers

Answer:

-28

Step-by-step explanation:

6 2/3*-4 1/5=

20/3*-21/5=

4/3*-21/1=

4/1*-7/1=

-28

Yall pray for me I'm doing a huge math test

Answers

Answer:

An animal shelter has $2500 in its reserve fund.  The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund.  Write an inequality to represent this situation.

Step-by-step explanation:

plz answer

Answer:

OK

Step-by-step explanation:

What type of math geometry? Algebra?

Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.

Answers

Yes because opposite sides are congruent

How many 9-inch ribbons can be cut from 112yards of ribbon? show work

Answers

Answer:

448 ribbons

Step-by-step explanation:

in order to find this, you need to convert the yards into inches. there are 36 inches is a yard (a yard is 3 feet and one foot is 12 inches ) so you would multiply 112 and 36 to find the total number of inches it woulde be. 112x36=4,032. Now that you know the total number of inches, divide it by 9 to find the total number of ribbions you can make.

4,032/9= 448

so you could make a total of 448 ribbons

Answer:

12.4

Step-by-step explanation:

Do 112 divided by 9

Determine the transformations that produce the graph of the functions g(x)=0.2log(x+14)+10 and h(x)=5log(x+14)−10 from the parent function f(x)=logx. Then compare the similarities and differences between the two functions, including the domain and range.

Answers

Let's focus on g(x) for now.

0.2 = 1/5

f(x) = log(x) is the parent function

0.2*f(x) = 0.2*log(x) .... vertical compression by factor of 5

0.2*f(x+14) = 0.2*log(x+14) .... shift 14 units to the left

0.2*f(x+14)+10 = 0.2*log(x+14)+10 .... shift 10 units up

g(x) = 0.2*log(x+14)+10

The transformations to go from f(x) to g(x) are:

vertical compression by factor of 5shift 14 units to the leftshift 10 units up

The domain of g(x) is x > -14 to ensure that x+14 > 0. This is so we avoid applying a log to 0 or a negative value. The parent function domain was x > 0. Note how the domain shifted 14 units to the left (step 2)

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

Now onto h(x)

f(x) = log(x)

5f(x) = 5log(x) .... vertical stretch by factor of 5

5f(x+14) = 5log(x+14) ... shift 14 units left, just like earlier

5f(x+14)-10 = 5log(x+14)-10 ... shift 10 units down

h(x) = 5log(x+14)-10

The transformations to go from f(x) to h(x) are:

vertical stretch by factor of 5shift 14 units to the left (same as g(x))shift 10 units down (instead of up compared to g(x))

This time h(x) is taller compared to f(x), while g(x) is more vertically squished compared to f(x). Both involve being shifted 14 units to the left, so both g(x) and h(x) have the same domain. Vertical shifting and compressing/stretching does not affect the domain.

The range of f(x), g(x) and h(x) is the set of all real numbers.

What is the slope of a line that passes through points (2, 4) and (8, 22)???????

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

2-8/4-22

-6/-18

1/3



Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?

Answers

Answer:

8.1 x 8.95 = 72.495

Step-by-step explanation:

Feet x $f = $$$

−2(−x+4) − 3x+2= −5 what is x?

TO WHOEVER ANSWERS AND HAS BEST EXPLANATION YOU WILL GET BRAINLY

Answers

Answer:-1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(−x+4)−3x+2=−5

(−2)(−x)+(−2)(4)+−3x+2=−5(Distribute)

2x+−8+−3x+2=−5

(2x+−3x)+(−8+2)=−5(Combine Like Terms)

−x+−6=−5

−x−6=−5

Step 2: Add 6 to both sides.

−x−6+6=−5+6

−x=1

Step 3: Divide both sides by -1.

−x −1 = 1 −1 /x=−1

Answer:

x=−1

which line is perpendicular to a line that has a slope of 1/2​

Answers

Line FG is the answer

Answer:

It’s line AB

Step-by-step explanation:

The equation for like AB is y=1/2x+0 and is perpendicular to HJ

sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable. Please answer ASPA. I Will give brainliest and do anything.

Answers

Answer:

The correct answer would be 18 which means that the decimal is in the wrong spot.

Step-by-step explanation:

11a − 2a = 9 what does a=

Answers

Answer:

a=1

Step-by-step explanation:hhqhhahehh

Anybody Need help!? I'm on here for 1 more hour! :)

Answers

Answer:

i need help on this

What are some other things that have been engineered to help people deal with the effects of gravity?

Do you know how to do this- How does Douglass’s cultural point of view as a slave from the early 1800’s shape his motivation to become literate, yet also create obstacles for him? Provide at least two examples from the text. Write at least a 100-word response.

Like- I've been stuck for an hour

The United States Census collects data on many variables about individuals and households.

Which variables are quantitative?

Select all that apply.


Years living in the U.S.


How many adults are registered to vote in the upcoming election?


Number of adults over 18.


Number of minors in the household


Family role of respondent


Number of family members residing at the address


Ethnicity


Zip code

Answers

Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?

Answers

the correct answer is 5.89999999948*10^12

Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?

converse of the corresponding angles theorem

converse of the alternate interior angles theorem

converse of the same side interior angles theorem

converse of the alternate exterior angles theorem

Answers

Converse of the alternate interior angles theorem is correct
converse of the alternate interior angles theorem is correct

help me ASAP ! Least to greatest -1/4 -2/3 , 1/3 , 2,5

Answers

-2/3, -1/4, 1/3, 2, 5

-2/3, -1/4, 1/3, 2/5

Things to keep in mind

Negatives are always the smallest.

Find a common denominator after sorting negatives and positives.

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