Answer:
<h2>6</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
- substitute the value of y:2²-2.2+6
- simplify exponent:4-2.2+6
- simplify multiplication;4-4+6
- simplify addition:4+2
- simplify addition:6
We write it out as an equation:
-1 = -2v + 2/3
Rearrange:
-1 -2/3 = -2v
Multiply by negative to equal positive
1 2/3 = 2v
Make 1 into a fraction
3/3 + 2/3 = 2v
5/3 = 2v
10/6 = 2v
5/6 = v
The answer is: v equals 5/6
Answer:
<h2><u><em>
46 cm²</em></u></h2>
Step-by-step explanation
the figure is composed of a square with an isosceles right triangle inside, we find the area of the square and we take away the area of the triangle.
Triangle area = lxl, right-angled triangle area side by side divided by two.
8 * 8 = 64cm²
6 * 6 : 2 = 18 cm²
Area of the shaded region
64 - 18 = 46 cm²
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: B/E
Step-by-step explanation:
Because the reciprocal are congruent to both sides