the width of a rectangle is 9 inches less than its length and the area is 36 square inches. what are the length and width of the rectangle

Answers

Answer 1

Answer:

12  and 3

Step-by-step explanation:

Let  x= length

If you draw a rectangle.  two sides would be the length x.  The other two sides would be (x-9).

(length)(width) = Area

(x)(x-9) = 36

x^2 - 9x = 36 Substitute in x and x-9 for the length and width

x^2 - 9x - 36 =0  Subtract 36 from both sides

(x-12)(x+3) = 0   We are looking for 2 number that add to -9 and mult. to -36

x-12=0 and x+3=0  Set both factors to 0 and solve

x = 12 and x =-3.  It does not make sense that a length could be -3 so we reject that answer.  If the length is 12, then the width is 3


Related Questions

How many solutions does this equation have?
10n + 8 = 3 + 10n

Answers

There are no values of x that make the equation true.
Answer: No Solution
The equation has 2 solutions: -0.8 and -0.3.

Explanation:

10n + 8 = 3 + 10n

10n+8 = 0 ............. (1)
3+10n = 0 ............. (2)

(1):
10n+8 = 0

10n = -8

n = -8/10 or -0.8

(2):
3+10n = 0

10n = -3

n = -3/10 or -0.3

Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm​

Answers

Answer:

86 cm is the perimeter

Step-by-step explanation:

determine if f (x) = -x^3 + 4x^2 +7x - 6 is a odd or even degree

Answers

Answer:

Neither

Step-by-step explanation:

It has a y intercept, which is -6, which changes the whole graph, so its neither

Answer:

odd

Step-by-step explanation:

the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is -x^3

the degree is 3, which is odd

Find the slope of any line parallel to the line through the given points (3,2),(3,1)

Answers

Answer:

the qoustion is not correct

Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)​

Answers

Answer:

b, d, e, g are the points

The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=2x+3.

A) Substitute (x, y)=(-4, 3) in y=2x+3, we get

3=2(-4)+3

3≠-5

B) Substitute (x, y)=(-1, 1) in y=2x+3, we get

1=2(-1)+3

1=1

C) Substitute (x, y)=(0, 0) in y=2x+3, we get

0≠3

D) Substitute (x, y)=(2, 7) in y=2x+3, we get

7=2(2)+3

7=7

E) Substitute (x, y)=(3, 9) in y=2x+3, we get

9=2(3)+3

9=9

F) Substitute (x, y)=(3 12) in y=2x+3, we get

12=2(3)+3

12≠9

G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get

12=2(4.5)+3

12=12

Therefore, the options B, D, E and G are the correct answers.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.

Answers

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

Answer:

t < -4

Step-by-step explanation:

1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm

Answers

Answer:

can you explain the question?

Step-by-step explanation:

what does the E stand for in 3.1536e+17

Answers

Answer:

well e stands for like what you multiply

Step-by-step explanation:

like well here is an example y=16e and you have to find what e stands for so E=

e is a natural logarithm. It’s like pi, it has a value associated with itself.

The approximate value for e is 2.71828

Convert to equation: four times a number increased by 8 is 24 ​

Answers

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{3}{2}x + 13[/tex]

Step-by-step explanation:

Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:

y - y1 = m(x - x1)

y - 7 = 3/2(x - (-4))

y - 7 = 3/2(x + 4)

y - 7 = 3/2x + 6

y = 3/2x + 6 + 7

y = 3/2x + 13

y=3/2x+13 is the equation of line in slope-intercept form

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that a line passes through the point (-4,7)

The slope of the line is 3/2.

We need to find the  equation in slope-intercept form for this line

Let us find the y intercept of line

7=3/2(-4)+b

7=-6+b

13=b

So slope intercept form is y=3/2x+13

Hence, y=3/2x+13 is the equation of line in slope-intercept form

To learn more on slope intercept form click:

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What's the circumference of a circle with a radius of 22 inches

no round

Answers

Answer:

22π

Step-by-step explanation:

Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:

diameter * pi --> 22 * pi = 22π

solve for the missing side,x

Answers

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Answer:

Step-by-step explanation:

Factor the expression. 48 + 16x

correct answers get brainiest and 5 stars, wrong answers reported

Answers

8(6+2x)

hope that helps^^

I believe the answer is 16(3+x) or 8(2+3x)

On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point

Answers

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi​

Answers

You need two formulas for this:

C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius

A = πr² Where A is area, and r is radius

First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.

Answer:

[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]

Step-by-step explanation:

1. Find the Radius

We are given the circumference of 40.82 centimeters. The formula for circumference is

[tex]c=\pi d[/tex]

The diameter is twice the radius, so we can also write this formula as:

[tex]c= \pi 2r[/tex]

Substitute 40.82 for the circumference and use 3.14 for pi.

[tex]40.82 \ cm= (3.14) 2r[/tex]

[tex]40.82=6.28 r[/tex]

6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82

[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]

[tex]6.5 \ cm=r[/tex]

2. Calculate the Area

Now we can calculate the area using this formula:

[tex]a= \pi r^2[/tex]

The radius is 6.5 centimeters and we are using 3.14 for pi.

[tex]a= 3.14(6.5 \ cm)^2[/tex]

Solve the exponent.

(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²

[tex]a= 3.14 (42.45 \ cm^2)[/tex]

Multiply.

[tex]a=132.665 \ cm^2[/tex]

The area is 132.665 square centimeters.

2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3

Answers

The answer should be y=3x-3 hope this helps!

Alternate interior and alternate exterior angles can be congruent

True or false

Plss answer

Answers

Answer:

it's false

Step-by-step explanation:

hope it's correct

Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?

Answers

Answer:

18 inches

Step-by-step explanation:

In geometry the shorter side is the width.

Therefore 18 inches is the width.

(I didn't really get this question)

What is the inequality for -8x>48

Answers

Answer: x<−6

Step-by-step explanation:

(cosec a + 1)*(1 - sin a)= cos a* cot a

Answers

Answer:

See proof below

Step-by-step explanation:

Given the equation, we are to prove that it is true

(cosec a + 1)*(1 - sin a)= cos a* cot a

From LHS

(cosec a + 1)*(1 - sin a)=

Expand

cosec a - cosecasina + 1 - sina

Since cosec a = 1/sina

1/sina - (1/sina)sina + 1 - sina

1/sina - 1 + 1 - sina

1/sin a - sina

Find the LCM

1-(sin^2a)/sina

cos^2a/sina

cosa * cosa/sina

cos a * cot a (which gives the RHS)

whoever knows how to solve this please help!​

Answers

Answer:

418ft²

Step-by-step explanation:

Find the surface area of both triangle shaped sides.

8 * 12 = 96

96 / 2 = 48 (surface area of one triangular side)

48 * 2 = 96

Find the surface area of both square shaped sides.

10 * 10 = 100

100 * 2 = 200

Find the surface area of the rectangular base side.

12 * 10 = 120

Add everything together.

96 + 200 + 120 = 418

Best of Luck!

Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school

Answers

Answer:

6 hours and 34 minutes

Step-by-step explanation:

If we add 1 minute to 7:59 it is 8 which makes it easier to see the length of time. Then we add that 1 back in to find the exact amount of time Dakota was in school.

Brainliest please . . . .

5. Simplify the expression.
-3+5n+14n+7

Answers

19n+4 is the answer to your question
Your answer would be 19n+4

Find the slope of any line parallel to the lien through the given points (3,2),(3,1)

Answers

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify:                                                                                                          m = undefined

A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *

Answers

Answer:

$24,800

Step-by-step explanation:

that's how much the car costs at year 0

Answer:

Step-by-step explanation:

The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.

The equation described is y=24800(0.88)^x

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER

Answers

9514 1404 393

Answer:

  line A

Step-by-step explanation:

The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.

p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled ​

Answers

Answer:   p = 48

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

Explanation:

We're told that "p is directly proportional to the square of q", which means that we have the equation

p = k*q^2

for some constant k

Replace p with 12 because we're also told that p = 12.

So we now have this equation

12 = k*q^2

which is the same as

kq^2 = 12

We'll use this later.

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

Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling

p = k*q^2

p = k*(2q)^2 ... replace q with 2q

p = k*4q^2

p = 4k*q^2

p = 4*(kq^2)

p = 4(12) ...... replace kq^2 with 12

p = 48

Therefore, if q is doubled, then p = 12 quadruples to p = 48.

please help, first person with the right answer will be rewarded!!​

Answers

Suhana suhana suhana suha
step by step explanation:

17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3

Answers

Answer:

6 1/6.

Step-by-step explanation:

That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.

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