The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space. a. The ecology club wants to put fencing around the proposed green space. How many more feet of fencing will the club need to buy for the proposed green space than it would have bought for the current green space? b. The ecology club wants to cover the proposed green space with a layer of sod. How much greater is the area of the proposed green space than the area of the current green space? a a. 9 more feet of fencing b. 441 square feet greater b a. 24 more feet of fencing b. 276 square feet greater c a. 36 more feet of fencing b. 624 square feet greater d a. 12 more feet of fencing b. 129 square feet greate

Answer:

1/49

Step-by-step explanation:

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[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]

Given:

The equation is:

[tex](2x+1)(x-2)=0[/tex]

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]            ....(i)

We have,

[tex](2x+1)(x-2)=0[/tex]

In can be rewritten as

[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]

[tex]2x^2-4x+x-2=0[/tex]

[tex]2x^2-3x-2=0[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]a=2,b=-3,c=-2[/tex]

Therefore, the correct option is C.

Answer:

5 times the sum of 3 and 4, then subtract 4

Answer:

5  times the sum of 3 and 4, then subtract 4

Step-by-step explanation:

Hope this helps

Answer:

The correct solution is "n = 16".

Step-by-step explanation:

The given equation is:

⇒  [tex]\frac{1}{2} n-3=5[/tex]

On adding "3" both sides, we get

⇒  [tex]\frac{1}{2} n-3+3=5+3[/tex]

⇒  [tex]\frac{1}{2}n=8[/tex]

On applying cross multiplication, we get

⇒  [tex]n=8\times 2[/tex]

⇒  [tex]n=16[/tex]

Answer:

was that the full question? i cant seem to understand what your asking

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm

Answer:

20

Step-by-step explanation:

225-80=145

145-125=20

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

Answer:

X = 9

Step-by-step explanation:

Answer:

a) 0

Step-by-step explanation:

the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)

we are given the points (3,-2) and (9,-2)

we can label the points:

x1=3

y1=-2

x2=9

y2=-2

now substitute into the equation:

m=(-2--2)/(9-3)

simplify

m=(-2+2)/6

m=0/6

m=0

the slope of the line is 0, which is option a

Hope this helps!

Answer:

Step-by-step explanation:

So it 22

Answer: 0.007

Step-by-step explanation:

Answer:

2x-3=13

2x=13+3

2x=16

2x/2=16/2

x=8

Answer:

first number is 8

second number is 5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80

b/c the 2 lines are equal

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

No solution

because delta ( b^2 - 4ac ) is lower than 0(zero) .

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]

So...

[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.

Answer:

the third one is correct. based on recent studies that i have read based on this topic. it should be right.

brainliest?

Step-by-step explanation:

3

Step-by-step explanation

edg

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Answer:

8/13

hope this answer helps you.....

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

Answer:

6 (square root )432 (option 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

⁶√(432)

Answer:

B

Step-by-step explanation:

Answer:

its 5/6

Step-by-step explanation:

we just group things around and we have this

36 m^2 - 60 m = -25

Alternate forms:

12 m (3 m - 5) = -25

36 m^2 - 60 m + 25 = 0

Solution:

m = 5/6

Answer:

Two solutions: X = -5 and X = -0.5

Step-by-step explanation:

4x^2 + 22x + 10 = 0 // divide by 2

2x^2 + 11x + 5 = 0

delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81

sqrt(delta) = 9

x1 = (-11 - 9) / 4 = -5

x2 = (-11 + 9) / 4 = -0.5

Answer:

D.)

2/3 1/6 1/7

Step-by-step explanation:

Given the fractions :

A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7

We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.

A.)

L. C. M of 14, 42 and 6 = 42

42 * 3 = 126 ( not true)

B.)

L. C. M of 84, 16, 42 = 336

Can't be true

C.)

L. C. M of 21, 4, 3 = 84

84 * 2 = 168 (not true)

D.)

L.C.M of 3, 6, 7 = 42

Answer:

d

Step-by-step explanation:

Answer:

9x + 72

Step-by-step explanation:

Answer:

9x + 8

Step-by-step explanation:

Hope this helps have a nice day :)

*You don't have to read this part*

Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.