What is the gradient of the graph shown?
Give your answer in its simplest form.

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Answer:

It would end at 9:38

Step-by-step explanation:

but obviously it is not one of the answer choices, so I would go with 9:42

Answer:

uiptyftyfkghfcytfghvchjcghcfgcjvbcfg

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 75, b = b , h = b - 10, then

[tex]\frac{1}{2}[/tex] b(b - 10) = 75 ( multiply both sides by 2 to clear the fraction )

b(b - h) = 150 ← option 2

Answer:

multiple 2 with everything

Step-by-step explanation:

two by 3=6 6X2=12 and like this

Answer:

[tex]x { }^{2} + 8x + 11 = 0 \\ d = 64 - 44 = 20 \\ x1 = \frac{ - 8 - \sqrt{20} }{2} = - 4 - \sqrt{5} \\ x2 = \frac{ - 8 + \sqrt{20} }{2} = - 4 + \sqrt{5} [/tex]

Answer:

The volume at the highest point is 64 times greater

Step-by-step explanation:

Mathematically, the volume of a sphere is simply the same formula irrespective of the size

Now, we have the formula as;

V = 4/3 * pi * r^3

While the 4/3 pi is a constant term, the value of r changes

initially we have the value of r as d = 2

where r is the radius and d is the diameter

we have this as;

8/2 = 4 ft

r^3 of this is 4^3 = 64

For the second part, we have

r as 32/2 = 16 ft

now, the r^3 part here is 16^3 = 4096

So now, we have to divide the final by the initial

we have this as 4096/64 = 64

So the volume at the highest point is 64 times greater

Answer:

I have no idea.

Step-by-step explanation:

??

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

Answer: 3.57 years

Step-by-step explanation:

Based on the question given, the interest is the difference between the amount and the principal which will be:

= $19800 - $16800

= $3000

The formula for Simple interest is given as:

Interest = Principal × Rate × Time

3000 = 16800 × 5% × Time

3000 = 16800 × 0.05 × Time

3000 = 840 × Time

Time = 3000 / 840

Time = 3.57

The time taken to grow the investment is 3.57 years

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

Answer:

D) 16π/3 ft

Step-by-step explanation:

The Question is calculated using Arc length formula

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Hence, the arc length = Option D =  16π/3 ft

Answer:

23.8

Step-by-step explanation:

x/340= 7%/100%

340*7= 2380

2380/100 =23.8

Answer:

7

___ x 340 = 23.8

100

Using the keywords:

Of means multiplication

Consider a percent out of 100

A way to remember is that, cent means 100.

Brainliest appreciated!

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

The age of Sita = (x + 5) years.

And, the age of Gautam = x years.

Now,

5 years ago, the ratio of their ages was 3 : 2

[tex] \therefore [/tex] [tex] \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x} [/tex]

Now by cross multiplying, we get,

3x = 2(x + 5)

3x = 2x + 10

3x - 2x = 10

Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.

And, the age of Gautam = x = 10 years.

Now,

The present age of Sita = 15 + 5 = 20 years. (Answer)

And, the present age of Gautam = 10 + 5 = 15 years. (Answer)

Answer:

(m + 2)

Step-by-step explanation:

First, factorise out m from the first equation:

m² + 2m = m (m + 2)

Second, use difference of two squares to factorise the 2nd equation:

m² - 4 = (m + 2) (m - 2)

Third, just factorise the last one normally as you would to solve for m:

m² + 3m + 2 = (m + 2) (m + 1)

Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).

Answer:

20, 7, 5

Step-by-step explanation:

Range-20, range=most

Mode-7, mode=22-15

Most-5

Answer:

a)

Step-by-step explanation:

base on the hierarchy of the hands should be

Straight flush - Poker hand in with 4 consecutive cards of the same suit

Flush - Poker hand with any 4 cards of the same suit

Full house - Poker hand that contains three of the same cards and one pair

Since: Poker hand refers to the 4  cards that are held in the game. Every game features the same hierarchy of poker hands. Based on this hierarchy, there can be different types of poker hands:

Answer:

True.

Step-by-step explanation:

1.8 is greater than 1 so it is an increase. Raised to an exponent is an exponential increase.

The correct answer would be A. Bacteria growth increases exponentially

Answer:

15pi

Step-by-step explanation:

The equation for circumference is C=2πr

In the question you're given the diameter so we need to take 15 and divide by 2

giving us r=7.5

then 7.5*2=15

giving us 15pi

Answer:

D

Step-by-step explanation:

Mathematically , for us to have a function, no 2 y values must have a single x value

Although, 2 x-values can have a single y value

The y values called the output values are listed on the right

The x values called the input values are listed on the left

So out of the options, with the given definition above, the one that represents a function is the option D

Answer:

0, -10

Step-by-step explanation:

Answer: n divided by 4!

Step-by-step explanation: If its a quotient, it means division!

Answer:

Step-by-step explanation:

[tex]n^2+8n+12\\\\[/tex]

Break the expressions into groups

[tex]=\left(n^2+2n\right)+\left(6n+12\right)\\\\[/tex]

Factor out n from n^2+2n

Factor out 6 from 6n+12

[tex]=n\left(n+2\right)+6\left(n+2\right)[/tex]

Factor out common term : n+2

[tex]=\left(n+2\right)\left(n+6\right)[/tex]

The factors of the quadratic equation by applying the factorization method are (n + 2) and (n + 6).

Given that,

The quadratic equation is,

n² + 8n + 12

Used the factorization method to factor the quadratic equation.

Now, factor the equation,

n² + 8n + 12

n² + (6 + 2)n + 12

n² + 6n + 2n + 12

n (n + 6) + 2(n + 6)

(n + 2) (n + 6)

Therefore, the factors of the equation are (n + 2) and (n + 6).

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

Answer:

I think its "decimal" Im not sure tho

Step-by-step explanation:

to be specific I would say "decimal that is rounded to the hundredths place"

Answer:

59.00

Step-by-step explanation:

kind of common sense

Answer:

90,597 square inches

Step-by-step explanation:

In ΔWXY, w = 410 inches, x = 530 inches and y=830 inches. Find the area of ΔWXY to the nearest 10th of an square inch.

We solve using Heron's formula

A = √s(s -a)(s - b) (s - c)

s = a + b + c/2

a = 410 inches

b = 530 inches

c = 830 inches

Hence,

s = 410 + 530 + 830/2

s = 885

A = √885(885 - 410)(885 - 530)(885 - 830)

A = 90,597.030166557 square inches

Approximately = 90,597.0 square inches

Answer:

Step-by-step explanation:

increasing he number by 50%

look 25 x 2 = 50 woah duable  means  add th number again boom 50%

Answer:

third option (mult by 1.25)

Step-by-step explanation:

let's say the number is 10

now double it to get 20

now increase it be 25% which is the same as multiplying by 125% or 1.25; you will get 25