A vacant rectangular lot is being turned into a community vegetable garden with a uniform path around it. area of the lot is represented by 4x^2 40x - 44 where x is the width of the path in meters. Find the wisdom the path surrounding the garden.

Answers

Answer 1

By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.

How to Factorize an Expression?

To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.

To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.

4x² - 44x + 4x - 44

(4x² - 44x) + (4x - 44)

4x(x - 11) + 4(x - 11)

(x - 11)(4x + 4) = 0

x = 11 or x = -4/4 = -1

The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.

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Related Questions

At how many hours will blake earn the same amount in both jobs?

Answers

Answer: 6.15 you already solved it congrats

Step-by-step explanation:

you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay

How do you recognize a geometric sequence? Can you find terms within a geometric sequence using a formula?

Answers

Answer:

See step by step explanation

Step-by-step explanation:

To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term

2481632641282565121024

to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2

the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation

We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works

Here's a practice problem

for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?

a harder practice problem:

for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?

Yes we can

the formula given to find the terms is

a_n=ar^n-1

Where

a_n is n the terma is first termr is common ration is an positive integer

Please answer everything that at asks in the image above. this is very important and I need help.​

Answers

Answer:

Step-by-step explanation:

What property is illustrated in the following statement? If DF= FG and FG=GH, then DF=GH. pls help

Answers

Answer:

Its a parallelogram

Step-by-step explanation:

Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

Answers

Step-by-step explanation:

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

A line passes through the point (4,1) and has a slope of 5/4
Write an equation in slope-intercept form for this line.
Please help

Answers

Y=5/4x-4
5/4 is the slope but to pass through the point it needs to cross the y axis at -4

Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points

Answers

(I named the empty line y)

y²= 9²+5²

= 81+25

=106

y= V106

y≈10.30

x²= 4²+y²

= 4²+ (V106)²

= 16+106

=122

x≈11.05

18, 6, 2, ...
Find the 7th term.

Answers

Answer:

2/81

Step-by-step explanation:

Firstly find out the common ratio.

And then the general term.

And at last you can find any term(7th term in this case).

The 7th term of the sequence will be 13122.

What is a geometric sequence? What is a expression? What is a mathematical equation?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. The nth term of the sequence will be a[n] = arⁿ ⁻ ¹.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

We have the following sequence -

18, 6, 2 ...

The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.

a[7] = 18 x 3⁶

a[7] = 18 x 9 x 9 x 9

a[7] = 13122

Therefore, the 7th term of the sequence will be 13122.

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Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

Step-by-step explanation:

6^2+B^2=3^2X5

36+b^2=9x5

b^2=9

b=3

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

the answer would be 7

9^2-4^2•radical 2^2

find the LCM of denominator 3/8 and 3/4​

Answers

Answer:

Step-by-step explanation:

Actually, it is 8.

3/8: nothing need be done.

3/4: Multiply top and bottom of the fraction by 2.

3*2 / 4*2 = 6/8

So the lowest common multiple is 8.

The factions become 3/8 and 6/8

pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?

1 3/10 miles

1 7/10 miles

4 miles

1 1/2 miles ​

Answers

17/10 miles

1/5*1+1/2*3=3/2+14/10=17/10

Answer:

1/5+3/2=2/10+15/10=17/10

Solve the triangle. Round to the nearest tenth.
In AABC, c = 9, b = 25, mZA = 113°

Answers

Answer:

28.5

Step-by-step explanation:

If you can add brainliest

Please

please help. 50 points on the line

Answers

Answer:some where from 65-75 feet

Step-by-step explanation:

Jack hit a baseball on 13 out of 30 tries during practice. what is the experimental probability that he will hit the ball on his next trial write your answer as a fraction as a decimal and as a percent​

Answers

Answer:

Fraction: 13/30

Decimal: 0.43

Percentage: 43%

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

5.946

Step-by-step explanation:

The pythogorean theorem states that a^2+b^2=c^2.

We are given the hypotenuse, c, and a side length.

3.5^2+b^2=6.9^2

12.25+b^2=47.61

b^2=35.36

b=5.9464...., rounded to 5.946

When given the set of variables, solve for X

Answers

Answer:  B

Step-by-step explanation:

b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet

Answers

Answer:

168 sq

Np also you could've just searched it up

Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions

Answers

Answer:

2x^2+1=5-2x

2x^2+1-5+2x

2x^2-4+2x=0

x^2-2+x=0

x^2+x-2=0

(x+2)(x-1)

x1= -2

x2= 1

Answer:

[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]

Step-by-step explanation:

I hope this helps and have a good day!

Find the median of the data in the box plot below.
dollars
Cost of each lunch for the month (in dollars)
8
9
10
7
4.
5
6
Сл
Report a problem
Stuck? Review related articles/videos or use a hint.

Answers

Median is just the middle number. If you put all the numbers in order from least to greatest:
4,5,6,7,8,9,10
Then you can find the one in the middle. In this case it’s 7.
10 20 30 40 50 60 80 90 100

I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.

Answers

#b

[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]

[tex]\\ \rm\rightarrowtail b=21tan47[/tex]

[tex]\\ \rm\rightarrowtail b=22.5[/tex]

#c

[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]

[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]

[tex]\\ \rm\rightarrowtail c=30.88[/tex]

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 21b = 22.5

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football​

Answers

I believe the answer is football.

Find the values of the variables.
31
W
Х
V
у
68°
Z

Answers

Answer:

X=121, y=59, w=59, z=53

Step-by-step explanation:

To find w, we know that the interior angles of a triangle are 180°. Thus ↓

180-31-90=59

For y, we know that y and w are opposite angles. Therefore, y = w = 59.

To find x, we know that there is a one straight line, so therefore we use ↓

180-59=121

Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓

180-59-68=53

I've attached a photo for better understanding. Hope this helps =)

Find the m < VXW down below

Answers

Answer:

Step-by-step explanation:

_ __
0.47 and 0.47 as simplified fractions

Answers

Answer:

Here is your answer

Step-by-step explanation:

What is 0.47 as a fraction? 0.47 as a fraction in simplest form is written as 47/100.

A fraction represents a part of a whole, written in the form of p/q where p and q are integers.

Here we will show you how to convert 0.47 decimal number to fraction form and as a mixed number with steps.

0.47 as a simplified fraction

47/100

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

47/100

Step-by-step explanation:

0.47 as a fraction in simplest form is written as 47/100.

Please mark me Brainliest

If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).

Answers

[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]

so f(4) = 11

Hope that helps!

Answer:

f(4) = 11

Step-by-step explanation:

Given :

base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2

Solving :

f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1

f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4

f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11

Please answer number 2. I don’t understand I’m very stressed right now I need help please.

Answers

Answer:

Smaller

Step-by-step explanation:

Because 7/8 is less than 1 and the sides are smaller which makes the volume smaller

:thumbsup:

HELP RN IM FAILING PLEASE

Answers

Answer:

Top left.

Step-by-step explanation:

Answer: 3x + y = 3

Step-by-step explanation: For a line to be parallel it must have the same slope but a different y intercept. y = mx + b, where M is the slope, and B is the y intercept.

We can solve for y, using 3x + y = 3. Subtracting both sides from 3x, we get y = -3x + 3, which is a different y intercept but the same slope.

In circle K with \text{m} \angle JKL= 82^{\circ}m∠JKL=82 ∘ , find the angle measure of minor arc \stackrel{\Large \frown}{JL}. JL⌢ .

Answers

Answer:

M< JKL = 82°

Solution: UP

The angle measure of the minor arc JL equals 82°.

What is Arc of a Circle?

An arc of a circle is defined as the part of the boundary of a circle. The straight line drawn joining the two end points of the arc is called chord of the circle.

If we mark any two points on the circle, by joining those points along the circle, we get two arcs. The smaller arc is called the minor arc and the longer arc is called the major arc. If the length of the arc exactly equals the half length of the circle, then the arc is called semicircular arc.

An arc can be measured in two ways : By finding the measure of the angle of arc and finding the length of the arc.

Here we are asked to find the measure of the minor arc which is the measure of the angle of the arc JL.

Measure of the angle of the arc equals the angle formed at the center of the circle by joining the end points of the arc to the center of the circle.

We have ∠JKL = 82°

∴ measure of arc JL = 82°

Hence, the measure of the minor arc JL equals 82°.

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Translating a phrase into a two-step expression
Translate this phrase into an algebraic expression.
Two more than the product of 17 and a number

Answers

Answer:

(17xa)+2

Step-by-step explanation:

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