One side of a triangular garden is x feet long. The other two sides of the garden are both 5 feet less than twice the length of the first side of the garden.Part A: Write a simpiflied expression for perimeter, in feet, of the garden.
A fence is placed along the entire perimeter of the triangular garden. The roll of fencing is 40 ft long.
Part B: Write a simplified expression to show the amount of fencing, in feet, which is left from the roll of fencing.

Answers

Answer 1
Answer: A:  If the 1st side of the garden is x feet long then the other sides are 2x - 5.  The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up.  So the equation to find the perimeter (p) would be...

p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)

This is actually an equation so the expression to represent perimeter would simply be...

x + 2(2x+5)

B:  Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...

40 - x + 2(2x+5) = the leftover amount of fencing

so the expression is...

40 - x + 2(2x+5)



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Find two pairs of integers whose sum is -6
Please help me with these 6 through 10 :)
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Given the Function:f(x) = -2e^x find f(x), if x=3
So far what I manage to grasp with this equation is
replacing the "x" with 3 So: f(3)= -2e^(3)
The answer ( using the scientific calculator) gave me -6
I have no Idea what are the other steps to this equation.

Answers

f(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
okay e^3 is 20.08553692 x -2 = 4.017107385
maybe you had your calculator on the wrong mode or entered it wrong


How many terms are in the expression: 12p + 8m + 2

Answers

Answer: I THINK 4.

Step-by-step explanation:

Sorry if it is wrong!! :'D

Given that 23°=√k,determine the value of each of the following in terms of k,without using a calculator1.sin203°
2.cos23°
3.tan(-23°)
Please
Answer any question you know

Answers

Hello,

In order to exist ,k>=0

1) sin (180°+x)=-sin (x) ==>sin(203°)=-√k

2) cos² x +sin² x=1==>cos x=√(1+sin² x)=√(1+k)

3)tan (-x)=-tan (x) =-sin (x)/cos (x) =- √k/√(1+k)=√(k/(1+k))

Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

Answers

Given: 
62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31
16 + 15 = 16 * 15 = 240 ft²
17 + 14 = 17 * 14 = 238 ft²
18 + 13 = 18 * 13 = 234 ft²
19 + 12 = 19 * 12 = 228 ft²
20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.

Find the GCF of 44j5k4 and 121j2k6.Find the GCF of 44 and 121.

Find the GCF of j5 and j2.

Find the GCF of k4 and k6.
What is the GCF of 44j5k4 and 121j2k6?
4j3k2
4j2k4
11j3k2
11j2k4 (this is the correct one)

Answers

Answer:

D. 11j^2k^4

Step-by-step explanation:

We are asked to find the GCF of 44j^5k^4\text{ and }121j^2k^6.

Since we know that GCF of two numbers is the greatest number that is a factor of both of them.

First of all we will GCF of 44 and 121.

Factors of 44 are: 1, 2, 4, 11, 22, 44.

Factors of 121 are: 1, 11, 11, 121.

We can see that greatest common factor of 44 and 121 is 11.

Now let us find GCF of j^5\text{ and }j^2.

Factors of j^5 are: j*j*j*j*j

Factors of j^2 are: j*j

We can see that greatest common factor of j^5\text{ and }j^2 is j*j=j^2.

Now let us find GCF of k^4\text{ and }k^6.

Factors of k^4 are: k*k*k*k    

Factors of k^6 are:k*k*k*k*k*k

We can see that greatest common factor of  k^4\text{ and }k^6 is k*k*k*k=k^4.

Upon combining our all GCFs we will get,

11j^2k^4  

Therefore, GCF of 44j^5k^4\text{ and }121j^2k^6 is 11j^2k^4 and option D is the correct choice.

its 11j2k4 because well i just know trust me my dude

Population(year 1845) population(1845) and p(1845) all represent which of the following

Answers

"POPULATION(Year 1845)," "Population(1845)," and "P(1845)" all represent which of the following?
   A. The year of the population is 1845.
   B. The population of the world in the year 1845.
   C. The rate of change of the population in year 1845.

I think the answer is B. The population of the world in the year 1845.