the length of a rectangle is 4 feet longer than its width.its area is 32 square feet.what are its dimensions?

Answers

Answer 1

Answer: Length=8, Width=4

Step-by-step explanation: I did this by trial and error, but you can also use an equation. The length is x+4, the width is x. Your equation would be x(x+4)=32. That is equal to x^2+4x=32. Solve this by completing the square. X^2+4x+ (4/2)^2=32+ (4/2)^2

X^2+4x+4=36. (X+2)(x+2)=36. X+2=6, x=4.


Related Questions

A department store buys 500 shirts at a cost of ​$13,500 and sells them at a selling price of ​$30 each. Find the percent markup.

Answers

Answer:

5.5%          hope this helps have a great day!

Step-by-step explanation:

Answer:

  450

Step-by-step explanation:

i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450

Please find the value of this one expression

Answers

Answer:

Solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6

The answer is 6.

Step-by-step explanation:

We need to find value of expression: [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex]

We know that [tex]\sqrt{81}=9[/tex]

Our expression will become

[tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4[/tex]

We can write [tex]\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\[/tex]

Now, replacing [tex]\sqrt[6]{8}=\sqrt{2}[/tex]

[tex]=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6[/tex]

So, solving the expression [tex]\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)[/tex] we get 6

Write the equation of the line y=(5)/(6)x+(7)/(6) perpendicular to
that passes through the point (-8,7)

Answers

Answer:

6x + 5y + 13 = 0.

Step-by-step explanation:

y = 5/6x + 7/6

Gradient = 5/6

Since the line is perpendicular to y = 5/6x + 7/6

then its gradient is -6/5.

Hence its equation is: point (-8,7).

y - 7 = -6/5(x -(-8))

multiplying through by 5 we get;

5y - 35 = -6(x + 8)

5y - 35 = -6x - 48

6x + 5y + 13 = 0

can you show a video or a pic of the answer 3.4 mi/h = ft/sec

Answers

Answer:

4.99 ft/sec

Step-by-step explanation:

1 mile = 5280 feet

3.4 miles = 17952 feet              or           (3.4 x 5280= 17952)

1 hour = 3600 seconds        (60 minutes per hour x 60 seconds per minute)

17952 feet / 3600 seconds = 4.99 feet per second

Find the equation that shows the relationship between the number of pens, p, and the
total cost, c.
5
10
15
20
Number of Pens (p)
$3.95
$7.90
$11.85
$15.80
Cost (c)

Answers

Answer: c= 0.79p

Step-by-step explanation:

Divide each cost by the number of pens it have to find the constant change value.

3.95/5 = 0.79

7.90/10= 0 .79  

11.85/15 = 0.79

15.80 / 20 = 0.79

Since the constant change is 0.79  which means that for each pen it will cost you $0.79, then the equation will be  c= $0.79p  where c is the cost and p is the number of pens.


Hi please help me thank you love you

Answers

Hi i think the answer is 299

This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?

Answers

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Describe fully the single transformation that takes shape P to the shape Q

Answers

Answer:

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

Answer:

Dilation by a scale factor of 3 about (1,0)

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

u have to put both to get the full marks

hope this helped :)

Which sequences of transformations applied to shape I prove that shape I is similar to shape II?

Answers

Answer:

A. The reflection across x axis ,fallowed by a reflection across the y axis ,and then a dilation by a scale factor of 0.5

Place the steps in the correct order

Answers

Answer:

1. Add x on both sides.

2.  Divide both sides by 4.

3. Add 20 to both sides.

4. Divide both sides by 3.

Brainliest Appreciated! Hope I helped!

Tiara earns $33 washing 3 cars. At this rate, how much does Tiara earn washing 9 cars?​

Answers

Answer:

$99

Step-by-step explanation:

Answer:

$99 (Verified Answer) ✅

Step-by-step explanation:

The best way to solve this is to use a proportion. However, since this is a rate, we could also find the unit rate and multiply it by the number of cars Tiara is washing.

Method 1: Proportion

[tex]\frac{33}{3} = \frac{x}{9}[/tex]

3x = 33 x 9

3x = 297

Now, we simply divide by 3 to get $99.

We can check this by substituting the value of x in the original proportion.

3(99) = 33 x 9

297 = 297 ✅

Method 2: Unit Rate

The other way to solve this is to divide the whole expression by the number of cars to find the unit rate. In other words, how much money does she get for washing 1 car. We can then multiply this by the number of cars to get the answer.

$33/3 for 3/3 cars

$11 for 1 car

Now, we will multiply by the number of cars she washes in this question, which is 9

$11 x 9 = 99 for 1 x 9 cars

$99 for 9 cars

Again, we have the correct answer, which we have already verified by the process above. As you can see, both methods work. However, the top method is easier and since it uses algebra, is  almost foolproof, so long as the algebraic processess are followed.

Hope this answer has helped, please mark it brainliest if it did :)

which of the following numbers in order from least to greatest?

A .20×10
B .20
c . 8.66
D . 8.66 ×10​

Answers

Answer:

b.

a.

c.

d.

Step-by-step explanation:

a .20x10=2.00

b .20

c 8.66

d 86.6

Answer:

B

A

C

D

Step-by-step explanation:

This are from the lowest to greatest.

it takes 3 tractors 2 hours to plow a square field whose side is 600 meters. find the number of hours it would take 5 tractors to plow a square field whose side is 1000 meters.

PLEASE ANSWER FAST. 200 POINTS

Answers

Answer:

5 tractors can plow a square field of side length 1,000 meters in 3.33 hours (3 hours 20 minutes)

Step-by-step explanation:

Let's find out how much each tractor can plow each hour.

[tex]\frac{600^{2} }{3*2}=60,000m^{2}[/tex] per tractor per hour

[tex]1,000^{2}=1,000,000m^{2}[/tex] is the area of the field of side length 1,000 meters

5 tractors can plow [tex]300,000m^{2}[/tex] per hour.

[tex]\frac{1,000,000}{300,000}=3.33[/tex] hours

Which could be the length of DB​

Answers

Answer:

5

Step-by-step explanation:

If AD was 6, and D isn't in the middle of the triangle, then DE must be a number lower than 6.

Which the only number like this is 5.

Hope this Helps!

:D

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

Answer:

The answer is B.


I jus need the focus and directrix please.

Answers

Answer:

the vertex is (3,-2), the focus is (3,-7/4), and the directrix is  y=-9/4

Step-by-step explanation:

in order to find the vertex, you convert the equation into vertex form so

y=(x-3)^2-2

With this, we can find the vertex which is at (3,-2)

In order to find the focus and diretrix, we need to find the value of p

We do this by creating the equation:

x^2=4py

in this case, (x-3)^2=4p(y+2) so 4p must equal 1 so p is 1/4

In order to find the focus, we add the value of p to the y coordinate of the vertex so the focus is (3,-2+1/4) which is (3,-7/4)

In order to find the directrix, we subtract the value of p to the y coordinate of the vertex so the directrix passes through the point (3,-2-1/4) which is (3,-9/4)

When we graph this parabola, we can tell that the directrix will be in the form of y = a and since this line passes through (3,-9/4) the directrix is y=-9/4

I hope you understand this explanation.

a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.​

Answers

Answer:

The slope is 3/4 and the y-intercept is -5.

Step-by-step explanation:

Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!

A concession stand sold candy bars for $1.50 each and nachos for $4 each. At the football game last Friday, they made more than $96 by selling these two things. Write the inequality that represents this situation? Your answer​

Answers

Answer:

Ihdjiefsoaekfjfbskidnkalo

A shoebox holds a number of disks of the same size. There are 5 red, 6 white, and 7 blue disks. You pick out a disk, record its color, and return it to the box. If you repeat this process 250 times, how many times can you expect to pick either a red or white disk?

Answers

Answer:

99

Step-by-step explanation:

easy

During a sale, a dress is marked down from a selling price of $80 to $72.

What is the percent mark down?

Answers

Answer:

10%

Step-by-step explanation:

80-10%= 72

Hope this helps!

Answer:

10%

Step-by-step explanation:

$80 to $72 is a difference of $8.00. 10% of $80 is the $8.00

if x=-7 is a root of the equation x^2+kx+49=0, then k=​

Answers

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Given:

[tex]x^{2}+kx+49 = 0[/tex]

[tex]x = -7[/tex]

Substitution can be used to find the value of [tex]k[/tex]:

[tex](-7)^{2}+(-7)k+49 = 0[/tex]

[tex]49-7k+49 = 0[/tex]

[tex]98 -7k = 0[/tex]

[tex]k = 14[/tex]

Hope this helps :)

20
80
[tex] {4}^{x} = 8x[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex]4^{2} =16[/tex]

[tex]8*2=16[/tex]

[tex]x=2[/tex]

Need Help ASAP!!!

Find the sine of G

Answers

Answer:

≈0.68

Step-by-step explanation:

with what u have u can get [tex]cos G^{-1}[/tex]

so it will be equal [tex]\sqrt43[/tex]/9 =43°13'49.75"

now u can get the sine

sin 43°13'49.75" ≈ 0.68

-5w = -80. solve for w.

Answers

Answer:

w=16

Step-by-step explanation:

-5w = - 80 Divide both sides of the equation by- 5 -5w ÷(-5)= - 80 ÷ ( - 5 ) any expression divided by itself equals 1 w = - 80 ÷ ( - 5 ) = w = 16 also you should use photomath that's what I use

Answer:

w=16

Step-by-step explanation: -80/-5=16

I WILL GIVE BRAINLIEST
Estimate the value of the irrational number (0.6289731...)^2. Up to how many decimal digits is the estimation correct?

(1.) 5
(2.) 4
(3.) 6
(4.) 7

Answers

Answer:

6

Step-by-step explanation:

i am 96% sure it is 6

i might be wrong tho so i would wait for another answer ._.

Answer:

Its 6 and give the other guy his brain he deserves it

Step-by-step explanation:

Find the values of x and y!!(help please)

Answers

Y = 66 degrees
X = 24 degrees

PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!

Answers

Answer:

the picture is really blurry i cant see anything

Step-by-step explanation:

Solve for X
1/5x +5=61/15+2/3x

Answers

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

BRAINLIEST FOR WHO ANSWERS
(−2x ^2 −4x+2) - (−6x+2)
The answer is not -2x+2x

Answers

Answer:

-2x^2-2x

Step-by-step e-xplanation:

−2x2−4x+2−(−6x+2)

Distribute the Negative Sign:

=−2x2−4x+2+−1(−6x+2)

=−2x2+−4x+2+−1(−6x)+(−1)(2)

=−2x2+−4x+2+6x+−2

Combine Like Terms:

=−2x2+−4x+2+6x+−2

=(−2x2)+(−4x+6x)+(2+−2)

=−2x2+2x

Lines AB and MN intersect at P.
N
A
(3x + 24)
(9x - 54)
P
B
M
What is the value of x?

Answers

Answer:

x = 13

Step-by-step explanation:

To solve for x, we set equations (9x - 54) and (3x + 24) equal to each other because the angles are equal

(9x - 54) = (3x + 24); add 54 to both sides

9x = 3x + 78; subtract 3x from both sides

6x = 78; now divide by 6

x = 13

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