The area of a rectangular garden is represented by the polynomial shown below.
x2 + 19x - 42
What are the dimensions (length and width) of the rectangular garden? ***Hint: Factor (x method). ***

a(x + 21) and (x - 2)
b(x - 21) and (x + 2)
c(x + 42) and (x - 1)
d(x-6) and (x + 7)

Answers

Answer 1

Is b) Step-by-step explanation:

Answer 2

The length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.

What is a quadratic equation?

Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the area of a rectangular garden is represented by the polynomial is shown x² + 19x - 42. The length and the width will be calculated by factorizing the given quadratic equation.

x² + 19x - 42 = 0

x² -21x + 2x - 42 = 0

x ( x - 21 ) + 2 ( x - 21 ) = 0

( x + 2 ) ( x - 21 ) = 0

Therefore, the length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.

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Related Questions

If a man walks 150m down the street, stops to ask for directions, then walks 1 point
another 30m to his destination, what is his total distance walked? *
150m
120m
180m

Answers

180, is the answer because when I had a question like that you have to add

What is 95% of $1350

Answers

Answer:

95% of 1350 is 14.2

Step-by-step explanation:

tell me if i'm wrong

Answer:

1,282.5

Step-by-step explanation:

[tex]1350[/tex] × [tex].95[/tex] [tex]= 1282.5[/tex]

[tex]95[/tex]% [tex]=.95[/tex] in decimal form

plz mark me brainliest. ;0

1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was -
5°F. Which expression(s) represent this situation using the absolute value of the difference?
O 85 - 5
O-5-85
O 185 - (-5)
O 15 - 85

Answers

Answer:

-5-85

Step-by-step explanation:

The temperature in Hawaii on Thursday was 85°F.

The temperature in Colorado on Thursday was - 5°F.

The difference in temperature is given by :

[tex]\Delta T=-5-85[/tex]

So, the correct option is (b) "-5-85".

a plywood plank measures 1cm x 8cm x 90cm and it weighs 396g what is the volume

Answers

1 x 8 x 90 = 720cm^3

what is the solution in ³√3-x=³√2x​

Answers

Answer:

3√3−x=3√2x

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈0.46567646

image of graph

Step-by-step explanation:

Hope it is helpful.....

Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
6 5/9 feet. How much of the board was left?

Answers

B. is the answer i did the test and it was right

Write 7% as a fraction or mixed number in simplest from

Answers

Answer: Percent" or "%" means "out of 100" or "per 100", Therefore 7% can be written as 7100 . Because 7 is a prime number and cannot be factored this is the simplest form.

Step-by-step explanation:

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Answers

Answer:

The dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

Step-by-step explanation:

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Area of a rectangle = Length × Width

= LW = 20 m²

Perimeter of a rectangle =

2L + 2W = 18 m

Hence:

LW = 20...... Equation 1

L = 20/W

2L + 2W = 18 ...... Equation 2

We substitute

20/W for L in Equation 2

2(20/W) + 2W = 18

40/W + 2W = 18

Multiply through by W

40 + 2W² = 18W

2W² - 18W + 40 = 0

2W² - 10W - 8W + 40 = 0

(2W - 8 )(W - 5) = 0

2W - 8 = 0

2W = 8 , W = 8/2 = 4m

W - 5 = 0

W = 5m

W = 4m or 5 m

Solving for L

When W = 5 m

L = 20/W

L = 20/5

L = 4m

When W = 4m

L = 20/W

L = 20/4

L = 5m

Therefore, the dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

Solving inequalities.

1. 2x + 3 < 9

2. 4x - 5 > 43

Answers

Answer:

1.   x< 3

2.   x>12

have a great day :)

Step-by-step explanation:

The are of this triangle is 40cm squared. Find the value of Y

Answers

Answer:

Sorry, you didn't post an image.

Step-by-step explanation:

You can make a new question with an image.

Progress:
Simplify the expression to a polynomial in standard form:
(3x + 5)(2x2 – 2x – 1)
Answer:
Submit Answer

Answers

    2                                                                                                                                       -6x  -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer

In parallelogram ABCD, LA = 120°. What is AD?
O80°
O 120°
O60°

Answers

angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°

Select the outlier in the data set.
21
52
32
33
28
30
36
40
86
38
34
19

Answers

Answer:

86

Step-by-step explanation:

21   36

52   40

32   86

33   38

28   34

30   19

which on these sequences are a fibonacci sequence?? HELP ASAP!!

Answers

Answer:

i believe it's c

Step-by-step explanation:

from what I know the fibonacci sequence is numbers that go up by adding the following number so 1+2 is three and then 2+3 is 5

Answer: C

Explanation:
In the Fibonacci Sequence, you just continuously add the last number in the sequence to the next number in the sequence.

Example:
1, 2 (the next number would be 3 bc 1 + 2 = 3 and so fourth.)

(3/4) to the power of 2

Answers

Answer: 3/16

Step-by-step explanation: hope this helps :)

Answer:

0.5625

Step-by-step explanation:

If 50% of a number is 170 and 20% of the same number is 68, find 70% of that
number.

Answers

The answer to this is 119

5x + 2y = -10
3x + y = 66

please show work

Answers

Answer:

x=142, y=-360. (142, -360).

Step-by-step explanation:

5x+2y=-10

3x+y=66

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

5x+2y=-10

-2(3x+y)=-2*66

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

5x+2y=-10

-6x-2y=-132

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

-x=-142

x=142

3(142)+y=66

426+y=66

y=66-426

y=-360

Answer:

1- 5x+2y+−2y=−10+−2y

5x=−2y−10

[tex]\frac{5}{5}[/tex]= [tex]\frac{-2y-10}{5}[/tex]

x= [tex]\frac{-2}{5}y-2[/tex]

2-  3x+y+−y=66+−y

3x=−y+66

[tex]\frac{3x}{3} = \frac{-y+66}{3}[/tex]

[tex]x=\frac{-1}{3}y+22[/tex]

Step-by-step explanation:

This is the answers :)

What is the slope of the line that passes through the points (2,3) and (0,2)

Answers

Answer:

1/2

Step-by-step explanation:

(3-2)/(2-0) = 1/2

Can you do no7 doesn’t matter if u do just one part everything will help

Answers

a) 500
b) 750
c) 500
d) 12500
e) 30000
f) 600

Two gears have a ratio of 8:3.
If the smaller gear has 24 teeth
how many teeth does the larger
gear have?

Answers

Step-by-step explanation:

768775567iooi888776432

Which of the following values of x makes the functions equal?

y=-1x+4
y=3x

Answers

the answer is
x=1
because 3 times 1 is 3
and -1 times 1 is -1 plus 4 is 3

5/7x - 14 = -22. Find x.

Answers

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

Answer:

x= -11.2

Step-by-step explanation:

5/7x-14=-22

      +14 +14        Add 14 on both sides

  5/7x = -8        

(7/5)*5/7x = -8*(7/5)     Multiply by the reciprocal on both sides to leave x alone

  x= -11.2      Answer

7. Find the missing length of the right triangle below. (Round to the nearest
tenth, if necessary)!*
26 cm
10 cm
b

Answers

According to my calculations it is 24

e =
=
5e + 3f = -36
-e + 2f = 2
f = 1

Answers

Answer:

e = -6

f = -2

Step-by-step explanation:

I used the elimination method and multiplied the second equation by 5 to get:

  -5e + 10f = 10.  Added this to:

+  5e + 3f = -36

13f = -26

f = -2

now find e:  -e - 4 = 2

-e = 6

e = -6

Please help me with math :C

Answers

Answer:

19 feet

Step-by-step explanation:

first, identify which is length and which is width. length is always longer than the width.

in order to do so, we need the measures in the same units, so let's convert . 12 yards to feet and 204 inches to feet:

there are 3 feed in a yard, so let's multiply 12 by 3:

12 • 3 = 36 feet

there are 12 inches in 1 foot, so let's divide 204 by 12

204 ÷ 12 = 17 feet

which is longer? 36 feet! so that's the length

finally, subtract the width(17 ft) from the length (36 ft)

36 - 17 = 19ft

What is (-4z + 3y - 5) + (y - 5x + 6)

Answers

Answer:
-5x + 4y - 4z + 1

Explanation:
Simplify and combine like terms

(-4z + 3y - 5) + (y - 5x + 6) =

-4z + 3y - 5 + y - 5x + 6 =

-4z + 4y - 5x + 1

Pls someone answer pls

Answers

Answer:

x = 44

Step-by-step explanation:

44 goes into 2, 22 times. then 22 + 10 = 32

POSSIBLE POINTS: 6.67
0
Ross is working on a project for art class using a computer graphics program. Ross wants to
create a rectangular framework for the final graphic. The area to be enclosed by the
framework is represented by the expression 5x2 + 8x - 4. What expressions can be used to
represent the length and width of the rectangular framework?

Answers

the expression for this question of 5x3+8x - 4 would be

Can someone please help me with this question

Answers

1) 4^12 -You just need to add the powers if the main number is the same.
2) 6^7 -Just add the powers together.
3) 8^5 - you need to take away the 8 as both main numbers are the same.
4) (I couldn’t see it clearly but I think it said 7^8x7^5= 343

Hope this helped and you get your marks

Someone please help me quick! Pleaseee

Answers

Answer:

B

Step-by-step explanation:

Reflect x-axis means (x,y) becomes (x, -y)

Shrink by 1/3 means f(x) = x becomes f(x) = 1/3x

Up 4 units means f(x) = x becomes f(x)= x + 4

So lets put that together

[tex]f(x) = \sqrt{x}[/tex]

[tex]f(x) = -\sqrt{x}[/tex]

[tex]f(x) = -\frac{1}{3} \sqrt{x}[/tex]

[tex]f(x) = -\frac{1}{3} \sqrt{x} + 4[/tex]

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