The are of a rectangular trampoline is 112ft. The length of the trampoline is 6ft greater than the width of the trampoline. This situation can be represented by the equation x^2+6x-112=0 what is the width of the trampoline in feet

Answers

Answer 1

Answer:

8cm

Step-by-step explanation:

let x = width

x^2+6x-112=0

we would solve this using the factorization method

the factors of -112x^2 that would add up to 6x are 14x  8x

x^2 - 8x + 14x - 112 = 0

factorise

x(x - 8) + 14(x - 8) = 0

x+ 14 = 0

x - 8 = 0

x = 8

the width is 8cm

x = -14


Related Questions

is 15m 36m 39m right triangle

Answers

Answer is below. Look at my explanation to understand my answer.

To see if these lengths can make a triangle, we can use the "triangle side theorem."

The formula is:

a + b > c

a + c > b

b + c > a

So, with that being said...

15 → A

36 → B

39 → C

So, we can use the triangle side theorem by adding A & B, A & C, and B & C.

If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.

So, let's add 15 and 36 to see if it can make a triangle.

15 + 36 = 51

If you read above, C is 39.

So, 51 > 39

15 + 36 > 39 ✓

Let's repeat this process again.

Instead of C, B is what we're now seeing if the sum is greater than it.

15 + 39 = 54

54 is greater than 36...

54 > 36

So it is true.

15 + 39 > 36 ✓

Now, A is what we're seeing if the sum is greater than it.

36 + 39 = 75

75 is greater than 15...

75 > 15

So it is true.

36 + 39 > 15 ✓

So yes, these lengths can make a triangle.

Let me know of any questions or concerns.

15(t-2v)
W-
V
Make v the subject of the formula

Answers

Answer:

v=15t/(w+30)

Step-by-step explanation:

multiply by w

wv=15(t-2v)

expand brackets

wv=15t-30v

+30v on both sides

wv+30v=15t

factorize to remove v

v(w+30)=15t

divide by (w+30)

v=15t/(w+30)

After making {v} the subject of the formula, we get -

v = 15t/(w + 2).

What is algebraic expression?

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is to make {v} the subject of the formula -

w = 15(t - 2v)/v

The given equation is -

w = 15(t - 2v)/v

w = 15t/v - 2v/v

w = 15t/v - 2

w + 2 = 15t/v

v = 15t/(w + 2)

Therefore, after making {v} the subject of the formula, we get -

v = 15t/(w + 2).

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SOMEONE PLZ HELP ME plzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

Which of the following are
undefined?
f(g(0))
f(g(-1))
f(g(1/6))
g(f(-1))
g(f(1/2))
g(f(1/6))

Answers

Take a picture of the question and then post it so I can help

Answer:

B, D, F

Step-by-step explanation:

Edgen2021

PLEASE HELP
*NO LINKS*

Answers

Answer:

its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1

Step-by-step explanation:

Evaluate: : Σ8 n=1 (-2)n-1= [?]​

Answers

Answer:

I believe N = -1/10

Step-by-step explanation:

A cubic yard is what kind of measurement?
O A. perimeter
O B. surface area
O c. volume/capacity
O D. length
O E. weight

Answers

Option C
Volume/Capacity

Help find the mean ,median,mode to 12,9,15,19,20,15

Answers

Answer:

Mean = 16

Median = 15

Mode = 15

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode - This question has one mode because there is only one number that occurs more that the rest.

Choose the mixed number that is equivalent to $ 1.32.​

1 32 /100

3 12/100

1 32/10

32/100

Answers

Answer:

1.32/100

Step-by-step explanation:

Address input parameters and values. Input parameters and values: The decimal number = 1.32Write it as a fraction ; 1.32/1Multiply 100 to both numerator and denominator

(1.32×100)/(1×100) = 132/100

It can be written as 132%= 132/100 or 132/100

4. To simplify 132/100 to its lowest terms, find LCM for the 132 and 100

4 is LCM for 132 and 100.

5. Divide numerator and denominator by 4

132/100=(132/4)/(100/4)=33/25.

33/25 is a simplest fraction for the decimal point number 1.32.

Answer:

132/100

Step-by-step explanation:

When you multiply by 10,100,1000.... you add zero. For example:132×10=1320 132×100=13200When you devide by 10,100,1000 you decrease the number starting from the right to left. For example: 132/10=13,2 132/100=1,32. NOTE it depends on the number of zeros.

What is the slope of the line represented by -3x + 5y = 20 ?

Answers

The slope would be 3/5x
3/5 is the right one

express (x-1)(2x-8) as a trinomial

Answers

Answer:

the answer is 2x²-10x+8

The trinomial equation is A = 2x² - 10x + 8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( x - 1 ) ( 2x - 8 )   be equation (1)

On simplifying the equation , we get

A = x ( 2x - 8 ) - 1 ( 2x - 8 )

A = x ( 2x ) - x ( 8 ) - 2x + 8

On further simplification , we get

A = 2x² - 8x - 2x + 8

A = 2x² - 10x + 8

Therefore , the value of A is 2x² - 10x + 8

Hence , the equation is A = 2x² - 10x + 8

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how many lines of symmetry does the letter x have

Answers

the letter x has two lines of symmetry.

Answer:

Step-by-step explanation:

I think it's got 4, one on the X axis, one on the y axis,   one on the y=x  line and one on the y =-x line  :P

what is the value of [(-3)^3]^2+2^4?

Answers

745!

Hope this helped :)

What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>

Answers

Answer:

1/10 x 1.2 is 0.12

Step-by-step explanation:

so yeeeeeeee

Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.

Answers

Answer:

1080 minutes

Step-by-step explanation:

12x45: garys team

45x2=90 : hector's team

12x90=1080

The answer is 1080 minutes. All you have to do is figure out the total amount of minutes of Gary’s soccer games and then multiply by two

Hi, I'm confused about how to write a system of equations to model this word problem

Answers

Answer:

Step-by-step explanation:

I say seven...

Calling all realllyyyy smart people lol! I need some help please on my algebra!


There are 6500 people in a certain area. The area is growing at a rate of 3.5%.

Use the formula A=Pertto calculate the time it would take for the area to reach 11500 people. Calculate the solution for t to the nearest tenth using logarithms.

(no multiple choice)

Answers

Answer:

16.6

Step-by-step explanation:

Initial number = 6500Growth rate = 3.5% = 0.035 timesFinal number = 11500Time t = ?

Formula:

P(t) = 6500(1 + 0.035)^t

Solve for t:

11500 = 6500*1.035^t11500/6500 = 1.035^tlog 1.7692 = log 1.035^tt = log 1.7692 / log 1.035t = 16.6 (rounded)

Find the center and radius of the circle:
x2 + y2 + 14x – 2y + 25 = 0

Answers

Center =(-7, 1)
Radius = 5

i need help (links will be reported and wrong answers)

Answers

Answer:

40 cm^3

5 x 8 x 1

hope this helps

have a good day :)

Step-by-step explanation:

A car wash attendant counted the number of cars washed and the total amount of money earned. The
company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275
for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of
dollars earned, m.

Answers

Answer:

total=n÷m $165÷15,$231÷21 and $275÷25

help me please i cant get it

Answers

Answer:

Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.

The total cost of both games is:

X + Y

We know that both games cost just above AED 80

Then:

X + Y > AED 80

From this, we want to prove that at least one of the games costed more than AED 40.

Now let's play with the possible prices of X, there are two possible cases:

X is larger than AED 40

X is equal to or smaller than AED 40.

If X is more than AED 40, then we have a game that costed more than AED 40.

If X is less than or equal to AED 40, then:

X ≥ AED 40

Now let's take the maximum value of X in this scenario, this is:

X = AED 40

Replacing this in the first inequality, we get:

X + Y > AED 80

Replacing the value of X we get:

AED 40 + Y  > AED 80

Y > AED 80 - AED 40

Y > AED 40

So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.

So we proven that in all the possible cases, at least one of the two games costs more than AED 40.

20 POINTS

The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

Answers

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

HELP PLEASE. find the volume of the figure. (3.14 as pi)

Answers

Answer:

The volume of the figure is 720 cm^3

Step-by-step explanation:

Here, we want to find the volume of the figure

mathematically, we can have this as the product of the base of the figure and it’s height

the base is a rectangle and the area is the product of the side lengths

Mathematically, we have this as;

9 * 20 = 180 cm^2

So the volume here can be obtained by simply multiplying by the height of the shape

we have this as;

180 cm^2 * 4 cm = 720 cm^3

A person swims 11 miles
downriver in the same time
they can swim 7miles
upriver. The speed of the
current is 4 mph, find the speed of the person in still water

Answers

7 / x-4 = 11 / x+4

7x + 28 = 11x - 44

72 = 4x

Answer is x = 16

If m varies directly as n and inversely as the square of p then m=n/kp
true or flase​

Answers

It’s true :) no problem

PLEASE HELP ME ANSWER THIS:(

Answers

#1 is A

I hope this helps I don’t know the other ones

Answer:

#1y = x² - 8x - 20 y = (x - 10)(x + 2), zero's are (10, 0) and (- 2, 0)

Vertex is:

x = -8/-2 = 4, y = 4² - 8*4 - 20 = -36

Correct choice is A

#2x² + 1/3x = 4x² + 2*x*(1/6) + (1/6)² = 4 + 1/36(x + 1/6)² = 4 1/36

Correct choice is A

#3(-√-1) = -ii² = -1 ⇒ i²ⁿ = -1i²ⁿ⁺¹ = -i

Correct choice A or B

what is the circumference area?

Answers

I believe the circumference is 52.15.

a lego brick is 5/6 of a cm long, how long will the total length of 336 bricks be?

Answers

Answer:

278.88 cm

Step-by-step explanation:

Please help. I will give brainliest.

Answers

Answer:

e

Step-by-step explanation:

The perimeter of a photograph is 34 inches. It is 10 inches long. How wide is it?
inches

Answers

Answer:

the width of the photo is W = 14" / 2, or 7"

Step-by-step explanation:

Recall that P = 2W + 2L.  Here L = 10" and P = 34".

Thus, 2(10") + 2W = 34", or

2W = 14"

Then the width of the photo is W = 14" / 2, or 7"

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