A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.

Answers

Answer 1

9514 1404 393

Answer:

length: 24 ftwidth: 42 ft

Step-by-step explanation:

The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...

  L(2L -6) = 1008

  L² -3L -504 = 0 . . . . . divide by 2, put in standard form

  (L -24)(L +21) = 0 . . . . factor

  L = 24 . . . . makes the first factor zero

  W = 2L -6 = 2(24) -6 = 42

The length of the rectangle is 24 feet; the width is 42 feet.


Related Questions

11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0

Answers

G is the answer to question

Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today

Answers

Skiffjsjdbbdbcbdhfhvvvvvvvvvvvv

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Find out the area of parallerogram

Answers

3833.38 hope this helps. Help help send.&;;&;&chill out nsjssnssksclap

There are 20 question in a test and you get 75% correct how many questions do you get right

Answers

Answer:

Answer. so the answer is 15. you got 15 questions right.

Step-by-step explanation:

I think it is 15:) because 5 is 25%, 10 is 50%, 15 is 75% and 20 out of 20 is 100%

10% of ___ is 14

what is the number

Answers

Answer:

140 :)

Hope this helps

Step-by-step explanation:

Tell me if I am right

PLEASE ANSWER K WILL GIVE BRAINLIEST!!

topic: solving word problems involving linear inequalities in one variable.

Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?

Answers

Answer:30

Step-by-step explanation:26+4

Helppppp plsssssssssssssssssssssss thanks
Is it



A
B
C
D

Answers

Answer:

It is (C) (6,5)

Step-by-step explanation:

Answer:

the answer is c :D

WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

6

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

decide if the two statements are logically equivalent statements, negations or neither ​

Answers

Answer:

Negations.

Step-by-step explanation:

The first statement is:

p ∧ q

(p and q)

This statement is only true when:

p = true

and

q = true.

And is false in all the other cases.

The other statement is:

¬q ∨ ¬p

(not q or not p)

This statement is only true if at least one of the elements is true, this happens if:

q =false (then ¬q = true)

or

p = false (then ¬p = true)

Then the first statement needs p and q to be true.

The second statement needs at least one of these to be false.

This means that when the first statement is true, the second statement is false.

When the first statement is false, the second one is true.

Then the statements are negations.

If mBC = mBD =140 degrees then What is m

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of arcs of a circle is 360°, so the measure of arc CD is ...

  CB +BD +CD = 360°

  CD = 360° -140° -140° = 80°

The measure of inscribed angle B is half the measure of the arc it subtends:

  ∠B = arc CD/2 = 80°/2

  ∠B = 40°

Answer:

40 degrees

Step-by-step explanation:

The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.​

Answers

9514 1404 393

Answer:

  base: 12 in

  altitude: 7 in

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Filling in the given information, we have ...

  42 = 1/2(b)(b -5)

  b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form

  (b -12)(b +7) = 0 . . . . factor

The only positive solution is b = 12

The base is 12 inches; the altitude is 7 inches.

Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [−4,−1]?

Answers

Answer:

3

Step-by-step explanation:

because 4-1=3

The polynomials are not given, but we can answer in a general way.

Basically, what you need to test is:

Sign[p(-4)] ≠ Sign[p(-1)]

But let's see why.

The intermediate value theorem says that, if for two values a and b such that:

a < b

If we have a given continuous function such that:

f(a) < 0 and f(b) > 0.

or

f(a) > 0 and f(b) < 0

Then there exists a value c

a < c < b

Such that:

f(c) = 0

So to find the correct polynomial, you just need to evaluate it in both extremes of the interval and you should see that the sign changes.

This means that if p(x) is the polynomial, then you should have:

Sign[p(-4)] ≠ Sign[p(-1)]

This will imply, by the intermediate value theorem, that the polynomial is equal to zero for some given value on the given interval.

If you want to learn more, you can read:

https://brainly.com/question/23792383

B
Manuel is leaving Boston to go on a hike at Mt.
Monadnock, in New Hampshire. He mapped out a
route with the map scale of 1 in. = 25 mi and found the
total distance on the map to be about 3.2 inches. What
is the actual distance Manuel will travel?
miles
Bu
1 in. = 25 mi

Answers

Because the rate is 25 miles every one inch 1 in / 25 mi is equal to 3.2 in / x miles. Cross multiply the fractions to get x = 80 mi.

Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.

Answers

Answer:

[tex]\displaystyle a = \frac{8}{5}[/tex].

Step-by-step explanation:

Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:

[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].

Equivalently:

[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].

For the two vectors in this equation to be parallel to one another:

[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].

Solve for [tex]a[/tex]:

[tex]\displaystyle a = \frac{8}{5}[/tex].

[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.

4.3 is ten as much as

Answers

Answer:

.43

Step-by-step explanation:

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or a consecutive interior and solve for X

Answers

Answer:

those are corresponding angles

Step-by-step explanation:

6x=5x+10

-5x on both sides of the equal sign

x=10

When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain​

Answers

Answer:

that sounds rlly confusing ngl hope u get it right

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEE

Answers

Answer:

d

Step-by-step explanation:

Brₐinliest plz close to leveling up

D if wrong i am sorry

a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.

Answers

Answer:

8/30015 or .037%

Step-by-step explanation:

16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21

= 8/30015

A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?

Answers

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

1=4-j

j=4-1

j=3

Answer:

j = 3

Step-by-step explanation:

(9 , j) ; [tex]x_{1}= 9[/tex]   and [tex]y_{1} = j[/tex]

(10, 4) ; [tex]x_{2} = 10[/tex]   and [tex]y_{2} = 4\\\\[/tex]

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]

4 - j = 1   {Subtract 4 from both sides}

-j = 1 -4

-j = -3 {Multiply both sides by (-1) }

j = 3

PLEASE HELP

Select ALL the correct answers.
The histogram below shows the number of goals scored by a sample of players in Joel's soccer league throughout the season.



Which of the following are true about the data?

The players in Joel's league scored between 1 and 30 goals.
The majority of players scored between 1 and 5 goals.
The majority of players scored between 1 and 10 goals.
The data distribution is skewed to the right.
The data distribution is skewed to the left.

Answers

Answer:

1, 3 and 4 options are true about the data.

Answer:

A.

C.

D.

Step-by-step explanation:

Study Island says so.

A football team loses 5 yards on each of 3
consecutive plays. What signed number
represents the team's total loss of yards on
the 3 plays?

PLEASE WRITE CORRECT ANSWER, I’LL GIVE BRAINLIEST!!

Answers

Answer:

15 yards within 3 consecutive plays

For the following right triangle, find the side length x.
X
12
35
help pls

Answers

Answer:

the length of side X is 37

10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20

Answers

Answer:

17

Step-by-step explanation:

[tex]\sqrt{x} = 4.1[/tex]

16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D

What's the perimeter?

Answers

Answer:

B. 24

Step-by-step explanation:

You add a+b+c.

A would be 5in

B would be 5in again because you can see they are the same

C would be 6in

Then you would add them all together.

5+5=10

10+6=16

Then you would multiply this by 1 1/2

This will equal out to 24

HOPE THIS HELPS

What is the slope of the equation c=2m+40

Answers

Answer:

Slope is m = 2

tep-by-step explanation:

Answer:

slope=2

Step-by-step explanation:

PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11

cm
6810
18. 136
25.11

Answers

The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g

What is the mass required?

Formula for density is;

Density = mass/volume

From the box we are given, it's volume is;

Volume = 30 * 30 * 76

Volume = 68400 cm³

Now, from conversion;

1 cm³ = 1g. Thus;

68400 cm³ = 68400 g

Volume = Mass/density

Volume = 68400/2.65

Volume = 25811 g

Read more about mass required at; https://brainly.com/question/1762479

Is (0,0) (0,100) endpoints of a vertical line, a horizontal line, or neither?

Answers

Answer:

it's a vertical line.

Step-by-step explanation:

only the Y coordinate changes making it vertical

Find the diameter and circumference of each circle given its radius of 4 cm. Use pi = 3.14 and round answers to the nearest tenth.​

Answers

Lol I had this still when I was learning that
Btw: c is the circumference
If u have any questions just comment them

PLEASE HELP ASAPPPP!!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

because AC is shorter than DF

because AB is different to DE

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