Maths-
General
Easy
Question
Find the area of a square field with side (5𝑥 − 8).
Hint:
- Area of square is given by (side)2.
- Area of square = (a)2
- Identity: (a – b)2 = a2 – 2ab + b2
The correct answer is: Hence, area of square field is 25x2 – 80x + 64 sq. units.
Answer
- Step by step explanation:
- Given:
Side (a) = (5x – 8) units.
- Step 1:
Calculate the area of square field,
Area = (5x – 8)2
As,
(a – b)2 = a2 – 2ab + b2
Therefore,
Area = (5x)2 – 2(5x) (8) + (8)2
Area = 25x2 – 80x + 64 sq. units.
- Final Answer:
Hence, area of square field is 25x2 – 80x + 64 sq. units.
- Given:
Therefore,
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A Submarine descends to
of its maximum depth. Then it descends another
of
its maximum depth. If it now at 650 feet below sea level , What is its maximum depth
Depth is the actual distance of an object beneath the surface, as measured by submerging it with a perfect ruler. The depth of an object in a denser medium as seen from a rarer medium is referred to as apparent depth in a medium. Its value is less than the true depth.
A formula for calculating ocean depth. D = V divided by 1/2 T D stands for depth (in meters) T= Time (in seconds) V = 1507 m/s (speed of sound in water) (speed of sound in water)
Since the speed of sound in water is known, the depth "d" is determined using the straightforward equation "d/2 = vt."
A Submarine descends to
of its maximum depth. Then it descends another
of
its maximum depth. If it now at 650 feet below sea level , What is its maximum depth
Maths-General
Depth is the actual distance of an object beneath the surface, as measured by submerging it with a perfect ruler. The depth of an object in a denser medium as seen from a rarer medium is referred to as apparent depth in a medium. Its value is less than the true depth.
A formula for calculating ocean depth. D = V divided by 1/2 T D stands for depth (in meters) T= Time (in seconds) V = 1507 m/s (speed of sound in water) (speed of sound in water)
Since the speed of sound in water is known, the depth "d" is determined using the straightforward equation "d/2 = vt."
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Find the area of the shaded region.
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)
Find the area of the shaded region.
![](data:image/png;base64,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)
Maths-General
Maths-
A rectangular park is 6𝑥 + 2 𝑓𝑡 long and 3𝑥 + 7 𝑓𝑡 wide. In the middle of the park is a square turtle pond that is 8 𝑓𝑡 wide. What expression represents the area of the park not occupied by the turtle pond?
![](data:image/png;base64,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)
A rectangular park is 6𝑥 + 2 𝑓𝑡 long and 3𝑥 + 7 𝑓𝑡 wide. In the middle of the park is a square turtle pond that is 8 𝑓𝑡 wide. What expression represents the area of the park not occupied by the turtle pond?
![](data:image/png;base64,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)
Maths-General
Maths-
Graph the line with equation ![straight Y equals x over 3 minus 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAgCAYAAABeiFVOAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAAAa1JREFUeNrtmT1Lw1AYhYOUDhIEEeng1kEcigjiICIiiBTpIAUHJyluTsXdyaU4iIN/oIgIIiIiIohIpyKIdJSC+A8cOpQiQjyXHryJXlPbppi27wMPNEkhl5P78d7EssLBJswZzu/ymkCeYMx1nIGHEouXJNzn7yV4J5GYuYULsARHJA4zWfgOJyUKM3PwjENuXeL4SRxewkFow0cZbl5G4fW3UFLwKEyNzMO0T/2S7+C9o/AcjhmunXDF6zSOj1/YXE1ihiesapehHu/Jzl//OM8u7+aY5y0JSbMHt1zFXK5P5sSmQorAImuUCx63OpadZm/eLSEpErAKx/todXVYwFY45Wxzng422YBXlFZ7Z7s9W42cabgDn+FEECH1ynAzsQwL/92TuoGahNR4bn6RkDSq4p+FAzTJgNISkmYNluEHfIOncCaMDV3k8lvlXKAafSBvArzcs3tHXeem4I1E05iKROBPnEWdYEC9sslwXlqROPwr+KxE8jvDcBU+WPXPS4IPNoMS2tk/CfWXf2WJQVPg9iDC/ZOqwF/hhkSjUR8crji8aqzAU2Fp3Cc3cH2Ta6M3twAAAKZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+WTwvbWk+PG1vPj08L21vPjxtZnJhYz48bWk+eDwvbWk+PG1uPjM8L21uPjwvbWZyYWM+PG1vPiYjeDIyMTI7PC9tbz48bW4+NTwvbW4+PC9tYXRoPpQ9Ay4AAAAASUVORK5CYII=)
Graph the line with equation ![straight Y equals x over 3 minus 5](data:image/png;base64,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)
Maths-General
Maths-
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
Maths-General
Maths-
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Maths-General
Maths-
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Maths-General
Maths-
Graph the equation ![Y equals negative 4 x plus 3](data:image/png;base64,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)
Graph the equation ![Y equals negative 4 x plus 3](data:image/png;base64,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)
Maths-General
Maths-
What is the relationship between the sign of the binomial and the sign of the second term in the product?
What is the relationship between the sign of the binomial and the sign of the second term in the product?
Maths-General
Maths-
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Find the product. (2𝑥 − 1)2
Maths-General
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2