The scale factor that Ivory used to create their scaled copy is;
<u><em>Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.</em></u>
- From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals
- Now, from the image, we are told that the area of the scaled copy is 48 square units.
What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.
- Now, if one interval of the graph is x-units, then it means;
length; y-axis = 3x units
width; x-axis = x units
- Area of a rectangle is given by;
Area = Length × width
Thus;
3x * x = 48
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
<em>Thus, 1 interval on the graph represents 4 units of the rectangle.</em>
Read more at; brainly.com/question/17182684
Answer:
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Step-by-step explanation:
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
-3 - (- 5) = 2
-1 - (- 3) = 2
1 - (- 1) = 2
So you can see that the common difference is the 2.
The answer to the second question is option 3:
y = | x + 7 |
We can confirm it by substituting values in the equation.
For example:
if we do y = 0 then x = -7
if we do x = 0 then y = 7.
As corresponds in the graph shown.
Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4.
The quotient of x and "and" is constant.
k = y / x
Rewriting:
y = kx
You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
The average rate of change of h(x) in the closed interval [ a, b ] is
Here [a, b ] = [ - 2, 2 ], thus
f(b) = f(2) = × 2³ - 2² = 1 - 4 = - 3
f(a) = × (- 2)³ - (- 2)² = - 1 - 4 = - 5
average rate of change = = =
