Answer:
Breadth = 8 cm
Length = 17 cm
Step-by-step explanation:
Given rectangle:
Breadth = x cm
Length = x + 9 cm
Area = length * breadth
= x * (x + 9)
= x² + 9x
Rectangle with length and breadth increased:
Breadth = x + 3 cm
Length = x + 9 + 3 = x + 12 cm
Area = 84 + (x² + 9x) cm²
(x +3) * (x +12) = 84 + x² + 9x
Use FOIL method
x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x
x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}
x² + 15x + 36 = 84 + x² + 9x
x² + 15x + 36 - 84 - x² - 9x = 0
6x - 48 = 0
6x = 48
x = 48/6
x = 8
Breadth = x = 8 cm
Length = x + 9 = 8 +9 = 17 cm
Answer:
the diameter is 1
Step-by-step explanation:
Since C = pi*d, solving for d would give 1
Area of a circle= πr²
Data:
diameter=11 in
ratius=diameter/2=11 in/2=5.5 in
Area of this circular plate=π(5.5 in)²=30.25π in²=30.25 * 3.141592... in²≈
≈95.0 in².
answer : c 95.0 in²
The rule that describes this transformation is (x - 3, y + 1)
Step-by-step explanation:
Step 1:
The points of the trapezoid are
M; (-3, -1),
N; (-4, 3),
P; (1, 3), and
Q; (-1, -1).
Step 2:
To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.
In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.
Combining these we get (x, y) becomes (x - 3, y + 1).
Answer:
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