The length of each side of the larger square is 8 cm.
<u>Step-by-step explanation</u>:
Step 1 ;
- The combined area of two squares = 80 sq.cm
- The side of small square = x
- The side of larger square = 2x
Step 2 :
Area of the square = a^2
Area of small square + area of large square = 80
x^2 + (2x)^2 = 80
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = ±4
Step 3 :
Since length cannot be negative, the value of x= 4
∴ The length of the side of small square = 4cm
The length of the side of larger square = 2x = 8cm
Answer:
10999
Step-by-step explanation:
9560 + 1439 = 10999
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Answer:
5 units
Step-by-step explanation:
Length AB,
Just apply the formula;
Length between two points =square root of [(difference in x coordinates)^2 + (difference in y coordinates)^2]
Length AB =square root of [(4 - 7)^2 + (-5 - - 9)^2]
Length AB =square root of [ (-3)^2 + (4)^2]
Length AB = square root of (25)
Length AB = 5 units
Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
Simplifying
2x + -3(3 * 0.6x + 2.7)
Multiply 3 * 0.6
2x + -3(1.8x + 2.7)
Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)
Reorder the terms:
-8.1 + 2x + -5.4x
Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x
