Answer:
11/12 cups
Step-by-step explanation:
2/3+1/4 = ( 2x4 + 3x1 )/( 3x4 ) = ( 8+3 )/12 = 11/12
The formula for finding the perimeter of a quadrilateral is Length + Length + Width + Width.
<h3>What is Perimeter?</h3>
- A perimeter is the path that surrounds a certain shape. To calculate the path that surrounds a quadrilateral, we need to get the sum of its four sides, both lengths and widths, lengths being the longest sides and the widths being the shortest.
- The formula used for calculating perimeter is Perimeter = Length + Length + Width + Width.
- For instance, to calculate the perimeter of a parallelogram with a side of 5 cm and one of 3 cm, we insert the numbers in their corresponding spot in the formula as such: Perimeter=5+5+3+3=16 cm or since parallelograms have 2 sets of 2 equal sides, we can use this formula Perimeter=(5×2)+(3×2)=10+6=16 cm.
- For a square on the other hand, we only need to know the length of one side because it has 4 equal sides.
Therefore, the formula for finding the perimeter of a quadrilateral is Length + Length + Width + Width.
Learn more about quadrilateral here:
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Y = x⁵ sin(2x ) cos(4x)
y' = d/dx (x⁵ sin (2x) × cos (4x) + x⁵ sin(2x) ). ×
d/dx (cos(4x) )
y' = 5x⁴ sin(2x) cos(4x)+2x⁵ cos(2x) cos(4x) -4x⁵ sin(2x) sin(4x)
Answer:
(f + g)(x) = x² - x + 6
Step-by-step explanation:
Step 1: Define
f(x) = x² + 1
g(x) = 5 - x
Step 2: Find (f + g)(x)
(f + g)(x) = x² + 1 + 5 - x
(f + g)(x) = x² - x + 6
Answer:
A parabola has the form:
y = a*x^2 + b*x + c
Where a is the leading coefficient.
If a is positive, the parabola opens up.
If a is negative, the parabola opens down.
a is the factor that multiplies the part that grows the fastest in the equation, thus, if a is a larger value (in absolute value) then the parabola will grow faster (then the parabola will be narrow)
if a is smaller (again, in absolute value) the parabola will grow slower, then the parabola will be wider.
With this, we can conclude that:
a = -4
is the largest value of a in absolute value.
Then this corresponds to the thinner parabola (the one at the left)
a = -1
Is the middle value of a, then this corresponds to the graph of the middle
a = -0.25
Is the smallest absolute value of a, then this one corresponds to the widest graph (the first one at the left)