Answer:
105
Step-by-step explanation:
Area of a trapezoid is given by the formula:
A = (a+b)÷2×h
(where h is the vertical height, and a and b are the parallel lines)
Substituting values given gives us:
A = (6+15)÷2×10
A = 21÷2×10
A = 10.5×10
A = 105
Units will be m² as this is area.
Answer:
97km/h to 1dp
Step-by-step explanation:
47mins is 0.783 of an hour
76km/0.783 = 97.0212km/h
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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Answer:
x = -0.69
Step-by-step explanation:
We can get this by writing the equation in the logarithmic form to base e
We have this as;
log e 0.5 = x
x = ln 0.5
x = -0.69315
To two decimal places, this is -0.69
