Vincent is building a rectangular pen for his new pet rabbit. The area of the pen is 36 square feet. The length of the fence is 5 feet longer than its width. Write the equation that can be used to model the relationship between the area of the gate and side length

Answers

Answer 1

Answer:

w² + 5w = 36

Step-by-step explanation:

Since the pen is a rectangle, its area, A = lw where l = length and w = width.

Since the length of the fence is 5 feet longer than its width, we have l = w + 5

So, A = lw = (w + 5)w = w² + 5w

Since A = 36 ft², we have that

36 = w² + 5w

w² + 5w = 36

Which is the required equation.


Related Questions

PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP

Answers

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

Liz records her pet hamster's weight once every month for one year. How many observations does she make?

Answers

Answer: 12 observations

Step-by-step explanation:

1 year = 12 months

Number of observations = 1 per month

Therefore number of observations

for a year = 1 × 12

= 12 observations.

Two wires, a = 90 ft apart, tether a balloon to the ground, as shown. How high is the balloon above the ground? (Round your ans

Answers

Answer:

180

Step-by-step explanation:

can some one help me plzz!! No links!!​

Answers

The answer is C.0,3 because One of Y equal 0 for X

What is the mesure of angle AXB?

Answers

The answer is 180 degrees
180 degrees your welcome !

ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?

Answers

Answer:

I got 45

Step-by-step explanation:

so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.

Answer:

Formula of trapezoid:

B1(base 1) + B2(base 2) x Height(h) x 1/2

Area of Trapezoid:

10(base 1) + 6(base 2) = 16

16 x 5 = 80

80 x 1/2 = 40

The perimeter of a rectangular field is 344m . If the length of the field is 93m , what is its width?

Answers

Answer:

width is 79 m

Step-by-step explanation:

P = 2l + 2w

344 = 2(93) + 2w

344 = 186 + 2w

158 = 2w

w = 158/2

w = 79

The answer above me is correct

If you have 5 questions and get an 80% how many questions did you get wrong?

Answers

Answer:

4

Step-by-step explanation:

you got 1 question wrong

(5. solve for x )
2/5 + x = 1

Answers

X=3/5 for exact form of decimal it is x=0.6

LABEL THE TRIANGLE!! PLEASE HELP!!

Answers

Answer:

Determination of HYP,OPP,ADJ with respect to x.

Opposite side of right angle:Hypotenuse: AC

Opposite side of given angle: Opp:BC

remaining side of a triangle: Adjacent:AB.

Find the range of the relation {(-8,1),(-3,-6),(-7,-5),(9,5),(-2,9)}

Answers

Answer: (11,-4)
Explanation: the range is to subtract the maximum and the minimum. The maximum is 9,5 and the minimum is -2,9

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85

Answers

Answer:

$29, that is the answer for this question

I need to find this angle please help i know it is adjacent but i need the angle.

Answers

Answer:

148 degrees!

Step-by-step explanation:

They are 180 degrees together so just subtract 32. 180- 32 = 148.

Answer:

148°

Step-by-step explanation:

A flat angle measures 180°

180° - 32° = 148°

Write the expressions for the following:

(i) 3 added with the product of x and y.

(ii) 4 subtracted from the product of -2 and m.​

Answers

Answer:

i) (xy)+3 or 3+(xy)

ii) (-2×m)-4

Answer:

3+xy

-2m-4

Step-by-step explanation:

What is the slope for y = - 6x + 12 on a graph

Answers

Answer:

For question A)  y = -6 , b = 12

For question B) x = 2

Step-by-step explanation:


[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.​

Answers

Answer :-0.65 , -15.34

Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)

Answers

Answer:

A

Step-by-step explanation:

Log poperties

Wesley makes spherical fish tanks with a diameter of 30 cm. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes. What is the approximate diameter of the smaller tank?

Answers

Answer:

23.8

Step-by-step explanation:

v = 4/3 pi r cube

v =4/3 pi r (15) cube

v=4500 pi

v= 45000 pi /2=4/3pi r cube

1687.5=r cube

r =11.9

d =23.8

(please tell me if its wrong, if it is i will fix it!) :).

A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?

Answers

Answer:

V=210 square inches

Step-by-step explanation:

Volume formula for a rectangular prism is V=lwh

So Volume=Length x Width x Height

V= 14 x 10 x 1.5

V=210 square inches

Which of the following is not a triangle similarity theorem

Answers

Answer:

D. SSA

Step-by-step explanation:

The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

Answers

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

[tex]x-2y=6[/tex]

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

[tex]x-2y-x=6-x\\-2y=-x+6[/tex]

Divide both sides by -2

[tex]y=\frac{1}{2} x-3[/tex]

Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (-6,-8)

[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]

Add 3 to both sides to isolate b

[tex]-8+3=-3+b+3\\-5=b[/tex]

Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:

[tex]y=\frac{1}{2}x-5[/tex]

I hope this helps!

Please help 15 points!!!

Answers

Answer:

20 m²

Step-by-step explanation:

Figure 1: 4 x 4 = 16

Figure 2: 2 x 2 = 4

16 + 4 = 20

How do the points of a figure move in a translation?

A. Same distance and different direction

В. Same distance and same direction

C. Different distance and different direction

D. Different distance and same direction

plz help!!!!!

Answers

Answer: В. Same distance and same direction

Step-by-step explanation:

A translation is a  rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.

It does not change the size or shape of the image.

Thus the correct statement relates to translation is "Same distance and same direction"

Hence, the correct option is B.

A snow cone cup is 12cm tall and has a diameter or 8cm find the volume of the flavored ice that can be held inside the snow cone cup

Answers

Answer:

200.96 cm³

Step-by-step explanation:

Volume of a cone = πr²h/3

Pi, π = 3.14

Radius, r = diameter/2

= 8 cm/2

= 4 cm

Height, h = 12 cm

Volume of a cone = πr²h/3

= 3.14 * (4 cm)² * 12 cm / 3

= 3.14 * 16 cm² * 12 cm / 3

= 602.88 cm³/3

= 200.96 cm³

Volume of a cone = 200.96 cm³

In a 3-digit number, the hundreds is one more than the ones digit and tens digit is twice the hundred digit. If the the sum of the digits is 11, find the number.

Answers

Answer:

362

Step-by-step explanation:

Let u = the units digit

2(u + 1) = the tens digit

u + 1 = the hundreds digit

u + 2(u + 1) + u + 1 = 11

u + 2u + 2 + u + 1 = 11

4u + 3 = 11

4u = 8

u = 2 = ones digit

u + 1 = 3 = hundreds digit

2(u + 1) = 2(3) = 6

The number is 362

Please help. Thank you....

Answers

The answer is B

Hopefully this helps

In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
Enter your answer in the box. Round to the nearest hundredth.
units

Answers

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

What is the perimeter of the garage if d=3

I’m marking branliest

Answers

Answer:

perimeter= 46

Step-by-step explanation:

(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)

7 + 7 + 16 + 16

= 46

PLEASE ANSWER THIS IS DUE TOMORROW!!!!!!!!!!!

Answers

Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)

Answers

Answer:

10

Step-by-step explanation:

Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2

sqrt_/(-9-(-3))^2 + (3-(-5))^2

sqrt_/(-6)^2 + (8)^2

sqrt_/36+64

sqrt_/100

Simplify and you get the number 10.

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