Answer:
C) They are the same.
Step-by-step explanation:
<u>The function f(x) has points as per graph:</u>
<u>So the points are:</u>
<u>Rate of change for f(x):</u>
<u>The function g(x) has points:</u>
- g(1) = -1² + 10 = 9
- g(3) = -3² + 10 = 1
<u>So the points are:</u>
<u>Rate of change for f(x):</u>
As we see both functions have same rate of change over the interval [1, 3]
<u>The answer choice is: </u>C) They are the same
Answer:
X=4, y=1
Step-by-step explanation:
Answer:
c) 120 ft
Step-by-step explanation:
Let's consider the rhombus has 4 sides, A, B, C, and D.
To find the length of each side, let's first find the length AE.
From the diagram, AE is half of AC and AC = 30 ft.
Therefore,
AE = ½ * 30
AE = 15 ft
Let's find the length AD, since we are looking for the distance around the perimeter.
We are told the rhombus is formed by four identical triangles.
Therefore the distance around the perimeter would be: AD+AD+AD+AD=
30 ft + 30 ft + 30 ft + 30 ft
= 120 ft
The distance around the perimeter of the garden is 120 ft
Answer:
Option D (7).
Step-by-step explanation:
The formula for gradient of the straight line is given by:
m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:
-5/3 = (2 - r)/(r - 4).
Cross Multiplying:
-5*(r - 4) = 3*(2 - r).
-5r + 20 = 6 - 3r.
-2r = -14.
r = 7.
Therefore, Option D is the correct answer!!!
