Let the number be x, then
x/2 = 2x - 3
x = 2(2x - 3) = 4x - 6
4x - x = 6
3x = 6
x = 6/3 = 2.
The required number is 2.
Answer:
90
Step-by-step explanation:
I believe it is 90 because when you take 30 minutes plus 30 minutes that makes 1 hour, and when you take 5 plus 5 equals 10. So, that means 10 every hour. So 10 times 9 is 90. Which gives you the answer of 90 mirror frames.
To find the area of a triangle with the given sides a, b and c we use an expression,
Area = 
Where, 
By applying this formula area of the given triangle is 4.8 m².
Side lengths of the triangle are 2m, 4.8m and 5.2m
Therefore, 

Now substitute these values in the formula,
Area = 
= 
= 4.8 m²
Therefore, area of the triangle with the given sides is 4.8 m².
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Answer:
B
Step-by-step explanation:
In an isosceles trapezoid any lower base angle is supplementary to any upper base angle, thus
6x + 2x + 4 = 180, that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22 → B
Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5