A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.

Answers

Answer 1

9514 1404 393

Answer:

70 ft long61 ft wide

Step-by-step explanation:

Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...

  P = 2(L+W)

Filling in the known information, we have ...

  262 = 2((w+9) +w)

  131 = 2w +9 . . . . . . . divide by 2

  122 = 2w . . . . . . . . . subtract 9

  61 = w . . . . . . . . . . . divide by 2 (width)

  w+9 = 70 . . . . . . . . length

The length of the garden is 70 feet; the width is 61 feet.


Related Questions

if the airplane flew 40 miles, how many gallons of gas would be left in the tank

Answers

7 is the answer to the question if it flew 40 more miles


Which expression is equivalent to (5x3)(2x)3
O 10x6
O 30X6
O 40x6
O 1,000x12

Answers

Answer:

10[tex]x^{6[/tex]

Step-by-step explanation:

I really hope 5x3 is 5x cubed and 2x3 is 2x cubed.

First multiply the coefficients (5*2)=10

then multiply the variables [tex]x^{3}[/tex]x[tex]x^{3}[/tex]=[tex]x^{6}[/tex]

then multiply them both

10[tex]x^{6[/tex] or option 1

The answer is C: 40x6

What is the measure of angle b?

Answers

Answer: 53

Step-by-step explanation: I just woke up I’m too tired to explain

Find the value of the expression 2x^4–5x^3+x^2+3x+2 for: b x=−5

Answers

1887
Just plug in -5 for x and that’s what you get

Solve for V and simplify.
2v+6=13v-4v+62

Answers

V = -8

Explanation:

A water feature that could be a source of groundwater for humans is found at a location on a hillside where Earth’s surface is lower than the water table.


Ill mark brainliest


What type of feature might be observed at this location?


spring

aquifer

artesian well

unsaturated zone

Answers

Answer:

aquifer=b

Step-by-step explanation:

aquifer =

b edgu 2020



What are the coordinates for the park ?

Answers

Answer: hey panini

Step-by-step explanation:

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20

Answers

Answer:

The sum is positive.

Step-by-step explanation:

The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.

Hope this helps!

Evaluate the following functions at x = 10
g(x)=√(x+1)​

Answers

g(x)=√(x+1)

Let's plug 10 in for x

g(10) = √(10+1)

Simplify the exponents

g(10) = √(11)

This is the exact form but it can also be expressed as a decimal.

√(11) = 3.31662479

You can simplify as needed

Answer:

3.316

Step-by-step explanation:

Given X=10

Evaluating,

√(10+1)

=√11

=3.316

What is the slope of (-7,-1) and (3,8)? Pls show your work

Answers

Answer:

[tex]m=\frac{9}{10}[/tex]

Step-by-step explanation:

To find the slope between any two points, we can use the following slope formula:

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

Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:

[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]

Evaluate:

[tex]m=\frac{9}{10}[/tex]

Therefore, the slope between the two points is 9/10.

How many 3-digit natural numbers are there?

Answers

Answer:

900

Step-by-step explanation:

natural numbers are all positive numbers that dont include 0

Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW

Answers

Answer:

C= -5t+30

The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.

Step-by-step explanation:

What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?

Question 8 options:


A)


Vertex = (2,25), y-intercept = (0,21), x-intercepts = (7,0) and (–3,0), axis of symmetry is x = 2


B)


Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = 2


C)


Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2


D)


Vertex = (–2,25), y-intercept = (0,21), x-intercepts = (7,0) and (3,0), axis of symmetry is x = –2

Answers

Answer:

Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

We are given the function;

f(x) = (x - 3)(x + 7)

The axis of symmetry in a quadratic equation is given by the formula;

x = -b/2a

Expanding the function given, we have;

f(x) = x² + 4x - 21

a = 1

b = 4

c = - 21

Thus;

Axis of symmetry is:

x = -(4)/(2 × 1)

x = -2

Now, y-intercept is when x = 0

Thus;

f(0) = (0 - 3)(0 + 7)

f(0) = - 3 × 7 = - 21

y - intercept is (0, - 21)

x-intercept is when f(x) = 0

Thus;

(x - 3)(x + 7) = 0

Thus;

x - 3 = 0 or x + 7 = 0

x = 3 or x = - 7

x - intercept is (-7, 0) and (3,0)

The y-coordinate of vertex will be at the line of axis of symmetry.

Thus, we will put x = -2 into the function to get;

y = (-2 - 3)(-2 + 7)

y = -5 × 5 = - 25

Vertex is at (-2, -25)

Correct Answer is option C

Answer:

Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

A one dimensional object with no endpoint is a?
A.ray
B.line segment
C.line
D.point

Answers

Answer:

its line fjfjfjjejjdjdj

As per the given condition, the required one dimensional object with no end point is a line.

What is a ray?

"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.

On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "

What is a line segment?

"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."

What is a line?

"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "

What is a point?

"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."

Given, a one dimensional object with no endpoint.

Therefore, the require object is a line.

Learn more about a line here: https://brainly.com/question/27560536

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Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is

Answers

Step-by-step explanation:

z+w= 1+3i-3-4i = -2-i

w+z=-3-4i+1+3i = -2-i

So, z+w = w+z

So, complex number addition is commutative

If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

What is commutativity property of addition?

We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.

How to solve it ?

Here z = 1 + 3i and w = -3 - 4i.

Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i

and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i

i.e. z + w = w + z

Clearly, the addition obeys the commutative property.

Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

Learn more about the commutative property here -

https://brainly.com/question/23736946

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Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.

Answers

Answer/Step-by-step explanation:

STATEMENT ====> REASONS

1. m<AOB = 180° ==> 1. Definition of straight angle

2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate

3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution

4. Solve as algebra to get x

5x - 15 + 90 + 2x = 180

Collect like terms

5x + 2x - 15 + 90 = 180

7x + 75 = 180

Subtract 75 from both sides

7x + 75 - 75= 180 - 75

7x = 105

Divide both sides by 7

7x/7 = 105/7

x = 15 ===> 4. Algebra

How is 5 represented in 6.75

Answers

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

try a none of them match because if you add 35 and 7 to each side none of them match up but the first is the closest

the answer is the last one

the bike travels 1 mile every minute, so if you divide X in every table by 5, you should get Y. if it doesn’t fit, it wasn’t correct.

A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step

Answers

Answer:

4.8

Step-by-step explanation:

15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8

Answer:

4.8 meters

Step-by-step explanation:

[tex]\frac{15}{6} = 2.5[/tex]  12 ÷ 2.5 = 4.8 meters

I hope this helps!

can you please help me ​

Answers

Yes but there is no photo

Answer:

What would you like help on?

Step-by-step explanation:

PRE CALC QUESTION

For the​ following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.

The zeros are -​3,-​1, and 4. The leading coefficient is -5.

(type answer in standard form)

P(x)=

Answers

Answer:

-5[tex]x^{3}[/tex] + 65x + 60

Step-by-step explanation:

Estimate the square root of the imperfect square of 18.

Answers

Answer:

18 times four is 72

Step-by-step explanation:

2
10x2 - 724
100x2 + 140xy + 4972 10x + 7y

Answers

Answer:

14xy/(10x+7y)^

Step-by-step explanation:

There is triangle one of the angles is 101 degrees and the other is 38 workout x

Answers

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

[tex]101 + 38 + x = 180[/tex]

[tex]139 + x = 180[/tex]

[tex]x = 180 - 139[/tex]

[tex] = x = 41[/tex]

[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]

If p = 5, q = 4, and r = 1, what is the value of p - r ?

a. 3
b. 4
c. 6
d. 1

Answers

The answer is 4

We can replace p with 5 and r with 1, this will lead us with 5 - 1.
b. 4

If p=5 and R= 1 then 5-1=4

16,1,0,1,16 input x and output y -2,-1,0,1,2

Answers

Answer:

what is the question?

Step-by-step explanation:

Write an example that is not an integer

Answers

Answer:

1/2, 1/4 3/72, .50, .25, etc.

Step-by-step explanation:

An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.

if you want to talk about negative numbers, then -5 1/4 -7.75 and -1/2 are NOT integers, due to the rule “integers do not have or include any fractional or decimal parts,” therefore that’s my answer.

finding the slope
(-2,-2) , (11,-10)​

Answers


y = 12/13x - 2/13, characters

Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!

Answers

Answer: I think the answer is B.) 570

the answer is C.) 760
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