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2 years ago

Need help failing math

Mathematics

2 answers:

faust18 [17]2 years ago

8 0

Answer:

6,-9

Step by step explaination

First you have got the number (4-7)

use the formula of transformation by adding 2

Olegator [25]2 years ago

8 0

Answer:

(8, - 14 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply the coordinates by 2

(4, - 7 ) → (2(4), 2(- 7) ) → (8, - 14 )

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A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0

1 year ago

Decide if the function is an exponential function. If it is, state the initial value and the base. (5 points)

Irina18 [472]

Answer:

Exponential Function; base = 7; initial value = - 9.3

Step-by-step explanation:

Base is a number/value which has a variable exponent;

Initial value is the value of a function (i.e. y) when the independent variable, i.e. x, is equal to 0.

4 0

3 years ago

Jennifer has a map of Yellowstone National Park. The scale on this map is 1cm = 9.8 miles. Jennifer measured some distances on t

ankoles [38]

Answer: 24.5

Step-by-step explanation: 1cm/9.8 mi

2.5cm/? 2.5 *9.8= 24.5

6 0

3 years ago

Read 2 more answers

Helppppp meeee!!! Pleaseeeeeeeeeeew

Pachacha [2.7K]

Answer:

Step-by-step explanation:

3 to the third power is 27

you multiply powers

4 0

3 years ago

How would i solve this problem using log base 10

Archy [21]

First isolate the power of 10 on the right side by dividing both sides by 5:

$100=5\cdot10^{0.3t}\implies20=10^{0.3t}$

Now you're free to take the logarithm and simplify where you can:

$\log_{10}20=\log_{10}10^{0.3t}=0.3t\log_{10}10=0.3t$

Then solve for $t$ :

$t=\dfrac{\log_{10}20}{0.3}\approx4.34$

8 0

3 years ago