Mathematics College

Max and Toni’s flower bed is rectangular in shape. The length of the garden is 4 feet more than its width and the area of the flower bed is 96 square feet. If x represents the width of the flower bed, find the length and width of the old flower bed. Solve the quadratic equation using the quadratic formula. (20 points)

Answers

Answer 1

Answer: Width = 8ft, Length = 12 ft

Step-by-step explanation:

irst, let'Fs express the width of the garden as w (the unknown that we are trying to solve), since the length is 4 feet longer than it's width, we can express this as 4+w. Since the flowerbed is rectangular, the formula for the area is A=lw where l is it's length and w is it's width, replacing l with 4+w, then replace A for 96 sq.ft and we can begin solving for the unknown w. Multiplying 4+w and w, using the distributive property where a(b+c)=ab+ac, we will wind up with w^2 + 4w = 96, subtracting 96 and moving it to the other side, we end up with w^2 + 4w -96 = 0, now let's use the quadratic formula for the x intercepts where [tex]x = \frac{-b +/- \sqrt{b^2-4ac}}{2a}[/tex] , remember the quadratic equation has the form [tex]ax^2+bx+c[/tex], therefore our a value is 1, our b value is 4, and our c value is -96 (remember to put that negative!), we will get 2 answers, 8 and -12, a negative width is unreasonable and so 8 is the correct width, and since the length is 4 extra feet, this makes the length 12 feet for a total area of 96 feet. hope this helps! Its helpful to draw and visualize the problem!  

Max And Tonis Flower Bed Is Rectangular In Shape. The Length Of The Garden Is 4 Feet More Than Its Width
Max And Tonis Flower Bed Is Rectangular In Shape. The Length Of The Garden Is 4 Feet More Than Its Width

Related Questions

Find the angle measures. Justify your responses.
m
a
21
34
b
65
7/8
Given: a 1b, m_2=3x +20°,
m27=2x -10°
Find: m3, m26
mZ3 =
=
m26=
=

Answers

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)

Answers

Step-by-step explanation:

y=-1/4x-2

1/4x+y+2=0.........1

line perpendicular to eqn 1 is

x-1/4y+k=0

as the line passes through the (-2,-3)

-2-1/4×-3+k=0

-1+4k=0

K=1/4

the eqn is 4x-y+1=0

Find the additive inverse and the multiplicative inverse, if it exists, of the given number. 5 in modulo 8 arithmetic

Answers

The additive inverse of 5 modulo 8 is the number a such that

5 + a ≡ 0 (mod 8)

Then

a ≡ -5 ≡ -5 + 8 ≡ 3 (mod 8)

The multiplicative inverse is m such that

5m ≡ 1 (mod 8)

Use the Euclidean algorithm:

8 = 1•5 + 3

5 = 1•3 + 2

3 = 1•2 + 1

Then

1 = 3 - 1•2

1 = 3 - 1•(5 - 1•3) = 2•3 - 1•5

1 = 2•(8 - 1•5) - 1•5 = 2•8 - 3•5

and so

1 ≡ 2•8 - 3•5 ≡ (-3)•5 (mod 8)

which means the inverse of 5 is

-3 ≡ 8 - 3 ≡ 5 (mod 8)

what is 2x-4y=12 x-3y=10

Answers

Answer:

(x,y) = (5/21, -50/21)

Step-by-step explanation:

Estimate the difference of $19 320 and $9 876?​

Answers

Answer:

$9444 Is the difference

Step-by-step explanation:

$19,320 - $9876 = 9444$

(Hope this helps can I pls have brainlist (crown)☺️)

At the beginning of a basketball season, the Panthers won 30 games out of 100 games. At this rate, how many games will they win in a normal 120-game season?

Answers

Answer:40

Step-by-step explanation: 12 divided by 3

What is the temperature change between the greatest value and the least value?
-25°F, 5°F, 60°F, -45°F, -10°F, 90°F
WILL BR MARKED BEST

Answers

The temperature change between the highest and lowest.
Highest- 90 degrees
Lowest- -45 degrees

-45 to 0 = 45 units
0 to 90 = 90 units
45+90 units = 130

ANSWER 130

What Value is equivalent to 30-6 x 3

Answers

Answer:

5/1

Step-by-step explanation: I could be wrong though

Have a Good Day <3

5/1 this should be right

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Follow the table in this order: everything on the left side of the table is the x axis value so if it is 2 find 2 on the horizontal line. Everything on the right side of the table is the y axis value so after you find where to go on the x go up from that spot to find where those two points meet. It may help if you are just starting to draw a line and find out where points meet but that will be time consuming and messy. Just remember what order you place coordinates and remember to read the labels on the graph. Hope that helped more :)

Answer: The scatterplot is shown below.

Explanation:

Each row in the table represents a different (x,y) point.

For example, the first row says that x = 2 and y = 1. We'll have a point at (2,1) on the graph. This means we start at the lower left corner which is the origin. Then we move 2 units to the right and 1 unit up to arrive at (2,1). The other rows are handled in a similar manner to get what you see below. The points are not connected with any line or curve. The labeling of A,B,C, etc is optional. I did it to help keep track of all the points in the table.

1 + 1? (just for fun!)

Answers

Answer:

equal 11

Step-by-step explanation:

:>

hmmm wonder what else it would be

PLEASE I NEED HELP ITS URGENT.

Answers

Answer:

Step-by-step explanation:

Of the eighth graders at the Paxton​ School, 14 played​ basketball, 9 played​ volleyball, 10 played​ soccer, 1 played basketball and soccer​ only, 2 played volleyball and soccer​ only, 1 played basketball and volleyball​ only, and 2 played​ volleyball, basketball, and soccer.
How many played one or more of the three​ sports?

Answers

6 kids played one or more of the 3 sports

Can someone help me on this

Answers

Answer:

39V3 Sq.units of that will help you

what is 1483 divided by 7? what is the remainder​

Answers

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Predict the next number in this pattern:

2/3, 2/27, 2/243, 2/2187, 2/19683, ...

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

help me with math and ill mark brainliest​

Answers

Answer for this question is b) m3=96°

Find the y intercept of the line -5x-2y=-14

Answers

Answer:

the y intercept is7

Step-by-step explanation:

at y-axis x=0, y=7

Write the equation of the line in slope intercept form

Slope =−1/5 Y-Intercept =−3

Answers

Answer:

y = mx + c ......( general form)

y = -1/5X - 3

work out the value of x trigonometry

Answers

Check the picture below.

Which equation is linear? y=x4 y=xy –x3 ОООС f(x) = 3х + 1 y=xУ​

Answers

Answer:

f(x) = 3х + 1

Step-by-step explanation:

Number 8 need asappp!!!!

Answers

Step-by-step explanation:

Angle A + Angle B = 180

x-34+x+58=180

2x+24=180

2x+24-24=180-24

2x=156

/2 /2

x=78

To solve for Angle B, fill x as 78

58+78

Angle B is 136

© Write
[tex] \sqrt{8} [/tex]
power of 2​

Answers

Answer:

2³

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you

If f (g(x)) = Square root x+8, identify the inside function g(x) and the outside function f(x) of the composite function.

Answers

Answer:

Given composite function:

f(g(x)) = √(x + 8)

Possible functions that compose it:

g(x) = x + 8

and

f(x) = √x

what are the reasons to #3 and #5??

options for both #3 and #5

- CPCTC
- Given
- When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary
- opposite sides of a parallelogram are parallel
- reflexive property
- angles that are supplementary to the same angle are congruent

Answers

Answers:

3) When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary.5) angles that are supplementary to the same angle are congruent.

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

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer:

1/2

Step-by-step explanation:

there is a 50 50 chance that somebody is male or female


You want to buy some noodles. A 7-ounce package costs $2.24. A 12-ounce package costs $4.08.
An 18-ounce package costs $5.58. Which package is the best buy?

Answers

2.24 divided by 7 is 0.32

And 5.58 divided by 18 is 0.31

So 5.58 is cheaper

A loan is paid in 15 years with a total of $192.000. It had a 4% interest rate that compounded monthly. What was the principal?

Round your answer to the nearest dollar and do not include dollar sign

Answers

I really don’t know but I feel like if it’s 4% it should be the nearest

can someone help me with this please?




Answers

Answer:

Okay, Please copy paste the question. I cannot see.

Step-by-step explanation:

f(ə) =
g(x) = (x - 2)2 – 7
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation,
Use nonnegative numbers.
To get the function g, shift f up/down v
by
units and to the
right/left
by
units.

Answers

Answer: To get function g, shift f DOWN by 7 units and to the RIGHT by 2 units

Step-by-step explanation: g(x)= (x-2)^2-7 since they’re both negatives it should be the opposite. An example would be g(x)=(x+3)^2+5, f goes UP for positive by 5 units, left by 3 units.

Multiply (-2-i)(4+I)

Answers

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

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