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3 years ago

Angela is putting a fence around her garden, which is bordered by her house on one side (as shown in the picture).

Mathematics

1 answer:

joja [24]3 years ago

5 0

Answer:

B:5x

Step-by-step explanation:

It would be B because if you add all the sides together you would get 5x and 5x is B

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HELP DUE NOW! BRANLIEST AND LOTS OF PONTS

Lisa [10]

Answer:

I think it’s a

Step-by-step explanation:

4 0

3 years ago

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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

3 years ago

10. Given m and b, write the equation of the line:<br><br> m=-4; b=2

steposvetlana [31]

Answer:

y= -4x + 2

Step-by-step explanation:

Y= mx + b is used to find the equation of the line

m=-4 a d b= 2

So, you put them into the equation.

6 0

2 years ago

This is hey confusing because I didn't go to school when they gave a lesson about this so please help.

alex41 [277]

I think that this is just showing how you can make different percentages by multiplying/dividing by specific numbers.

8 0

3 years ago

Rewrite the following equation in log form: 2^2 = 4

Finger [1]

We have to write

$2^2 =4$

In log form

To convert exponential equation to log equation, we have to use the following rule $If \ a^b = c, \ then \ b=log_{a} c$

So we will get

$If \ 2^2 =4, \ then \ 2 = log_{2} 4$

$log_{2}4=2$

And that's the required log form .

5 0

3 years ago

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