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Marina86 [1]
4 years ago
13

4x + 8y = 16 4x-8y = 0

Mathematics
1 answer:
balandron [24]4 years ago
3 0

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

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Find area and perimeter <br><br> pls show work
Ksivusya [100]

Step-by-step explanation:

ok so first you can split the object into 2 different shapes like the first picture.

next you can start with shape labeled 1

and the perimeter of that would be 5+5+4+4 =14

so the perimeter is shape 1 is 14

the area would be5×4 which is 20

now shape 2 the perimeter of that would be 8+8+2+2 which is 20

the area would be 8×2 which would be 16

so then you add the are and perimeter of each shape together

p= 14+20=<em><u>3</u></em><em><u>4</u></em>

a= 20+16= <em><u>3</u></em><em><u>6</u></em>

5 0
3 years ago
What is the surface area of this square pyramid?
Karo-lina-s [1.5K]

Answer:

A;3600 yd2

Step-by-step explanation:

The surface area is found by adding the area of the sides

The area of the bottom is

A= s^2 where s is the side length since it is a square

A = s^2 = 30^2= 900

We can find the area of one of the sides and multiply by 4 since all the sides are the same

The sides are triangles so

A = 1/2 bh  where b is the base b=30 and h is the height = 45

A = 1/2 (30)* 45

A = 675

We have 4 of these triangles

4*675 =2700

Add the 4 triangles and the bottom

2700+900

3600

6 0
4 years ago
A fire station is to be located along a road of length A, A &lt; q. If fires occur at points uniformly chosen on (0, A), where s
Shtirlitz [24]

Answer:

Step-by-step explanation:

Given that X is uniform in the interval (0,A)

X is continuous since it represents the distance

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we  should find where the station be located so as to minimize the expected distance from the fire

Distance can be taken as absolute values here as either side is the same.

E(|x-a|] is to be minimum

E(|x-a|)=E(x-a) for 0<x<a

         =E(a-x), for a<x<A

Using integral we find this value

E(|x-a|)=\int\limits^a_0 {x-a} \, dx +=\int\limits^A_a -{x-a} \, dx\\f(a)=\frac{a^2}{2} -\frac{(A-a)^2}{2}

f(a)=\frac{a^2}{2} +\frac{(A-a)^2}{2} \\f'(a) = a-(A-a)\\f"(a) =2

Using calculus we find that f" is positive so when f' =0 we get solution

f'(a) =0 gives

a=\frac{A}{2}

Hence fire station to be located at the mid point of 0 and A

8 0
4 years ago
What is 180(n-2)=s when solving for N​
Sergio039 [100]

Answer:

n = s/180 +2

Step-by-step explanation:

180(n-2)=s

Distribute

180n - 360 =s

Add 360 to each side

180n -360+360 = s+360

180n = s+360

Divide each side by 180

180n/180 = s/180 + 360/180

n = s/180 +2

5 0
3 years ago
Which of the following is correct art notation?
Zepler [3.9K]
The third answer is correct given proper comma placement and the parenthesis 
6 0
3 years ago
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