The area of a garden can be represented by the expression x2 - 6x - 27. What are the dimensions of the rectangle in terms of x?

Answers

Answer 1

Answer:

Step-by-step explanation:

x² - 6x - 27

x² - 9x + 3x - 27

x(x - 9) + 3(x - 9)

(x - 9) (x + 3) = 0

x = 9

x = -3

The dimensions are 9 and 3


Related Questions

Need help with this question asap please I would really appreciate it

Answers

Answer:

Step-by-step explanation:

we know that the angle is less than 90,  so there is only one choice for that , the 75° choice.   that also seems about right.  

The manager at a grocery store took a survey to determine the price of milk at 10 other stores in the area. The prices are
shown in the table.
$2.99 $3.19 $3.29 $2.99 $3.19
$2.79 $2.89 $2.99 $2.99
$2.99
The price of milk at another grocery store is $4.49. What does this outlier do to the data?
OA. It skews the data to the right.
OB. It increases the mode.
O C. It increases the median.
O D. It decreases the interquartile range

Answers

Answer:

A it skews the data to the right

Step-by-step explanation:

A

Answer please!! Thank you so much

Answers

Answer:

the first one is 4.03 and the second one os 4.33

Answer:

4.03 and 4.33 is the answer.

Step-by-step explanation:

The numbers increase by +0.1

∴ 4.03, 4.13, 4.23, 4.33, 4.43, 4.53

Solve for x in the diagram below (x+42)

Answers

Answer:

x = 12

Step-by-step explanation:

(x + 42)° + 3x° = 90°

x + 3x + 42 = 90

4x = 90 - 42

4x = 48

x = 12

2 black 5 grey and 1 white marbles. What is the likelihood pf picking white?

Answers

Answer: The probability is 5/6

Step-by-step explanation:

warm up:Area.how many square units will it take to fill up this rectangle?

Answers

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

PLEASE HELP ME DUE IN 3 MINUTES THIS IS MY GRADE ON THE LINE HELP MEEEEE

Answers

Answer:

7) is $1.70

8) is 8 miles per hour

9) is Store A is the better buy

10) is 222

11) is the area is 6

12) is the range is 14

8.)8 miles per hour

20 = 150

X = 60

20 x 60 = 150x

1200 = 150x

X = 8

9.)better buy number A

44.68 /16 = 2.7925

31.57 /11 = 2.87

11.) The area of this figure is 6

3 X 2 = 6

12) Range of the data set is 14

15 - 1 = 14

algebra 1 lesson 7.1.4 jorunal

Answers

Answer:

is there supposed to be a picture connected to this?

Answer:

what is the question?

Step-by-step explanation:

please let me know.

thanks

A circle is given with points A, B, C, and D clockwise upon it. All points are joined by line segments, and ∡BCD=62°. What is ∡BAD?

A. 124°

B. 62°

C. 28°

D. 118°

Answers

Answer:

yo did anyone have the answer

Step-by-step explanation:

Find the measure of line segment MK. K 8 I 7 J M 5 2x+1

Answers

Hello!

This is a problem about relating circle theorems to line lengths.

We can first see that both line segment MK and CM are secants within the circle that come from a common point K.

This means that the Intersecting Secant Theorem applies here.

The Intersecting Secant Theorem states that if two secants are formed from a common point outside the circle, the length of each secant multiplied by the length of its corresponding external secant are equivalent.

We can set up the following equation.

[tex]8(8+x+5)=7(7+2x+1)[/tex]

[tex]8(x+13)=7(2x+8)[/tex]

[tex]8x+104=14x+56[/tex]

[tex]6x=48[/tex]

[tex]x=8[/tex]

Using this value, we can find the length of line segment MK.

[tex]MK=x+5+8[/tex]

[tex]MK=8+5+8[/tex]

[tex]MK=21[/tex]

Hope this helps!

Plzz help i really need will mark brainiest. Don't do it for points plzz!!!!!

Answers

Answer:

C.

Step-by-step explanation:

It follows the rule

[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]

Therefore that is the reason why it is called "a squared + b squared equals c squared"

Giving brainlist to whoever answers

Answers

Answer: B is 44 degrees.

Step-by-step explanation:

(6x+22)=(7x+16)=90.

x=4

(7(4)+16)=44

No links!!!
Please help me

Answers

Answer:

B one

They only cross once on the graph

Please answer help asap

Answers

Answer:

[tex]∠ACB=40°[/tex]

Step-by-step explanation:

Given:-

[tex]∠APB=80°[/tex]

According to question:-

[tex]=>∠APB= 2×∠ACB[/tex]

[In Circle, the angle subtend at the centre is double angle subtend at the circumference.]

[tex]=>80° = 2× ∠ACB[/tex]

[tex]=>∠ACB=\frac{80°}{2}[/tex]

[tex]=>∠ACB=40°[/tex]

Evaluate the expression is a=2 and b=-1.
20-3b

Answers

Answer:

23

Step-by-step explanation:

20 - 3(-1)

20 - (-3)

20 + 3 =

23

two expressions that are equivalent to 7x10^-4​

Answers

Answer:

two expressions that are equivalent to 7x10^-4

=7/10000or 7/10^4

Is 1 hour is 9 miles, how many hours is 15 miles?

1 hr = 9 mi

__hr = 15 mi

Answers

1.67 hr or 1 and 2/3 hours
Or 1 hour and 40 min

What is the area of the figure?

Answers

the area is 12 feet


State the horizontal asymptote of the rational function. F(x) = 5x + 1/ 9x -2

Answers

Answer:

[tex]y=\frac{5}{9}[/tex]

Step-by-step explanation:

For the graph of [tex]y=f(x)[/tex],

the horizontal asymptote becomes [tex]y=\frac{5}{9}[/tex]

Please help me with this trigonometry work!

Answers

Answer:

We have a triangle rectangle here.

We know that:

AC =  15

BC = 8

AB = 17

We know that in a triangle rectangle the longest side is the hypotenuse.

In the image we can see that the shorter side is the base, then BC is the base.

AC is the height.

AB is the hypotenuse.

Such that:

A is the top vertex.

B is the bottom right vertex

C is the bottom left vertex.

Now you need to remember the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

then:

Sin (A) = (AC)/(AB) = 15/17 = 0.88

Cos(B) = (AC)/(AB) = 15/17 = 0.88

Tan(B) = (AC)/(CB) = 15/8 = 1.875

Now we want to find the measure of angle A.

We know that:

Sin(A) = 0.88

Then if we apply the Asin( ) function in both sides, we get:

Asin( Sin(A)) = Asin(0.88)

A = Asin(0.88) = 61.6°

(the Asin() function is the inverse of the sin() function)

Now we have:

sin(x) = 0.906

We do the same thing as before.

Asin(sin(x)) = Asin(0.906)

x = Asin(0.906) = 65°

And:

Sin(87°) = 0.999

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

Steps included or some steps, thank you!

Answers

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

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

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

simplify (3x^2 y^5)^4

Answers

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

What is the probability of landing on red and rolling a number greater than 2?

Answers

Answer:

the probability of rolling a number greater than 2 is 2/3

Step-by-step explanation:

because 3 4 5 and 6 are greater than two we have 4 numbers greater than 2 so 4/6 is 2/3 when simplified

prove the above question and i will give you....​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²A - sin²B = cos(A + B) . cos(A - B)

Here A = [tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] , B = [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex]

Consider the left side

cos²([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] ) - sin²( [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex] )

= cos([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] + [tex]\frac{\pi }{8}[/tex] - [tex]\frac{A}{2}[/tex] ) × cos([tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] - [tex]\frac{\pi }{8}[/tex] + [tex]\frac{A}{2}[/tex] )

= cos ([tex]\frac{\pi }{4}[/tex] ) × cos ( A)

= [tex]\frac{1}{\sqrt{2} }[/tex] cosA

=  right side , thus proven

mike is training to run a marathon. currently, he can run 4 miles in 44 minutes. if he maintains this running speed, how long will it take him to run 10 miles?

Answers

Answer:

110 minutes or 1 hour 50 minutes

Step-by-step explanation:

44 divided into 4 since we want to find out how much time it takes to run 1 mile, so 44 divided into 4 is 11

then simply multiply 11 with 10 and the answer is 110

: )

Plzzz helppp me it’s a test meeee and help with with both number 9 and 10 plzzzz thank you

Answers

Answer:

Pretty sure it’s D

Step-by-step explanation:

Write 1/b9 in standard exponential form

Answers

Answer:

Step-by-step explanation:

exponent on 1 is 9

PLEASE HELP!! Find the missing side of this right triangle
X
8
16
x=[?]

Answers

Answer:

The square root of 192

Step-by-step explanation:

It's just the Pythagoras theorem p much

The square foot is 192

im so sleepy but i need help

Answers

Answer:

choice 2) y ≤ 1

Step-by-step explanation:

Answer: B I think!

Step-by-step explanation:

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