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3 years ago

If 2x² – 2y = 125 and x - y = 2.5, find the value of x + y

Mathematics

1 answer:

uysha [10]3 years ago

6 0

We can solve this using substitution.

because x-y=2.5

x=y+2.5

Now substitute x into other equation.

2(y+2.5)^2-2y=125

2y^2+10y+12.5-2y=125

2y^2+8y-112.5=0

Now comes the ugly part

y=-4+-sqrt(16+900)

y=-4+-sqrt916

y=-4+-2sqrt229

x=-1.5+-2sqrt229

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2. Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 1

Yuki888 [10]

The area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

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

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The dimensions of the garden = 10 ft by 12 ft

Area = 10×12 = 120 square feet

The width of the walkway = 3 feet

If we create a walkway around the garden, it will be a rectangle around the garden.

So the dimensions for the bigger rectangle = (3+10+3) ft by (3+12+3) ft

Area of the bigger rectangle = 16×18 = 288 square feet

So the area of the walkway = 288 - 120 = 168 square feet

Thus, the area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

Learn more about the rectangle here:

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2 years ago

What is 3÷11= A. 11/3 B. 3/11 C. 3/8 D. 8/3

Katen [24]

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

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2 years ago

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In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the

Sveta_85 [38]

The correct option is: B. $25000=5000(1.043)^t$

Explanation

The general form of growth equation is: $A=P(1+r)^t$ , where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration

Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.

That means, $A= 25000 , P= 5000, r= 4.3\% = 0.043$

Now plugging these values into the above equation, we will get......

$25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t$

So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be: $25000=5000(1.043)^t$

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3 years ago

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Please help me with this

Simora [160]

Answer: A and B
Explanation: If you draw the graph out it crosses the points (1,2) and (-1,-2) and those are points A and B

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3 years ago

Need help ASAP ‼️ The subject is trigonometric ratios.

postnew [5]

Answer:

4/9 that's the answer tan s = opp/adj

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