Answer:
The equation that can be used to find the width is 2(13 + w) = 42
The width of the rectangle is 8 inches
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width
∵ One rectangle has a length of 13 inches
∴ l = 13 inches
∵ Its perimeter is 42 inches
∴ P = 42 inches
- Substitute the values of l and P in the formula of the perimeter
∵ 42 = 2(13 + w)
The equation that can be used to find the width is 2(13 + w) = 42
To find W divide both sides by 2
∴ 21 = 13 + w
- Subtract 13 from both sides
∴ 8 = w
The width of the rectangle is 8 inches
I think right is correct ( - 1, 5 )
So, if we break it down, this is just easy math! First we divide 16 tablespoons/4 and that gives us 4, then we multiply 1*3 and that equals 3! So 3*4 is equal to 12. So there are 12 teaspoons of broth in 1/4 cup of broth! Hope this helped! Brainliest is always appreciated.
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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