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4 years ago

Solve the following system of equations algebraically 3x-y=0 5x+2y=22

Mathematics

1 answer:

Lyrx [107]4 years ago

3 0

3x - y = 0 ⇒ 2(3x - y = 0 ) ⇒ 6x - 2y = 0

5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ 5x + 2y = 22

11x = 22

x = 2

3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y

Answer: x=2, y=6

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Help with this math question please

Debora [2.8K]

Part 1: getting the area of the entrance
The entrance has a trapezoid shape.
Area of trapezoid can be calculated using the following rule:
Area of trapezoid = average base * height
The aveage base = (b1+b2)/2 = (8+16)/2 = 12 ft
height of trapezoid = 4 ft
Therefore:
area of entrance = 12*4 = 48 ft^2

Part 2: getting the area of the house:
area of house = area of back porch + area of side deck + area of play room + area of entrance
i- getting the area of the back porch:
The back porch is a square with side length = 6 ft
Therefore:
area of back porch = 6*6 = 36 ft^2
ii- getting the area of side deck:
The side deck is a rectangle whose length is 14 ft and width is 3 ft
Therefore:
area of side deck = 14*3 = 42 ft^2
iii- getting the area of play room:
The play room is a rectangle whose length is 14 ft and width is 16 ft
Therefore:
area of play room = 14*16 = 224 ft^2
iv- area of entrance is calculated in part 1 = 48 ft^2
Based on the above:
area of house = 36 + 42 + 224 + 48 = 350 ft^2

hope this helps :)

5 0

3 years ago

Need help ASAP !!! <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B95%20%5Ctimes%2019%20%5Ctimes%205%7D%20" id="TexFormula

dimulka [17.4K]

Answer:

the answer is 9025

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Use f(x) = 1/2 x and f-^1(x) = 2x to solve the problems. f(2) = f(1) = f-^1 (F2)) =

balu736 [363]

Answer:

f(2) =

⇒ 1

f−1(1) =

⇒ 2

f−1(f(2)) =

⇒ 2

8 0

3 years ago

Solve for z. z³ = 64 Enter your answer in the box. z =

zlopas [31]

Answer:

z³ = 64

z³=4³

since power is equal, base will be same

z=4

Step-by-step explanation:

6 0

3 years ago

Multiple please help me out. (picture is for question 4)

Cloud [144]

Answer:

1. 9/10

2. 1/5

3. 4/9

4. 1

Step-by-step explanation:

The general equation of the line is:

(y - y0) = m ( x - x0), where "m" represents the slope is: (y1 - y0) / (x1 - x0).

1. From the statement we know that (x1, y1) = (18, 17) and (x0, y0) = (8,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (17 - 8)/(18 - 8) = 9/10.

The slope is 9/10.

2. From the statement we know that (x1, y1) = (8, 9) and (x0, y0) = (3,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (9 - 8)/(8 - 3) = 1/5.

The slope is 1/5.

3. From the statement we know that (x1, y1) = (15, 15) and (x0, y0) = (6,11)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (15 - 11)/(15 - 6) = 4/9.

The slope is 4/9.

4. From the graph, we know that the line passes through the points (-5, -4) and (-7, -6). So we know that (x1, y1) = (-5, -4) and (x0, y0) = (-7,-6).

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (-4 - (-6))/(-5 - (-7)) = 2/2 = 1.

The slope is 1.

4 0

3 years ago