Answer:
A
Step-by-step explanation:
We can plug in all of the x and y values to check if the point is a solution to the inequality.
Point A: x = 1, y = 7
7 > |1| + 5
7 > 1 + 5
7 > 6
This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.
Answer:
29.5cm^2
Step-by-step explanation:
3 × 4 = 12
4 × 2.5 = 10
3 × 2.5 = 7.5
12+10+7.5=29.5
Answer:
The transformation is " a horizontal translation 4 units to the right " ⇒ (d)
Step-by-step explanation:
Let us revise the translation of a function
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
Let us look at the graph and choose some points on the f(x) and find their images on y
∵ Point (1, 2) lies on f(x)
∵ Point (5, 2) lies on y
∵ Point (3, 8) lies on f(x)
∵ Point (7, 8) lies on y
→ There is no change in the y-coordinates of the points, the change
only in the x-coordinates
∴ The translation is horizontally
∵ 5 - 1 = 4 units ⇒ positive value means to right
∴ f(x) is translated 4 units to the right
∴ The answer is " a horizontal translation 4 units to the right " (d)
Answer:
<h2>9 in</h2>
Step-by-step explanation:
Since the square canvas was completely covered using 77.8 in.² of fabric without any overlap, to get the side length of the canvas, we will use the formula for calculating the area of a square.
Area of a square = Length * Length
A = L*L
A = L²
Given the Area of the area of the square canvas as 77.8 in², on substituting this values into the formula to get L we have;
77.8 = L²
Take the square root of both sides
√77.8 = √L²
L = √77.8
L = 8.82 in
L ≈ 9inches
The length 8.82in gotten was approximated to 9in because <em>the first value after the decimal point is greater that 4 and once we have such case 1 will be added to the value before the decimal point i.e 8 to make it 9</em>.
<em>Hence measurement that is closest to the side length of this canvas in inches is 9inches.</em>
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