Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
Answer:
1044 sq. inches
Step-by-step explanation:
The frame adds 2 inches on each side of the window, so the width becomes 29 in. and the length becomes 36 in.
Area = width × length
So the total area of the window and the frame is:
A = 29 × 36 = 1044 in²
Answer:
±0.06
Step-by-step explanation:
The range is 0.28 - 0.16 = 0.12. So half of that is 0.06.
The answer would be c but why u have d
<u>Answer</u>
y = -2x + 10
<u>Explanation</u>
The general equation for a straight line is y = mx + c where m and c are gradient and y-intercept respectively.
y=x/2+3 = y (1/2)x + 3
gradient = 1/2
Gradient of the line perpendicular to y=x/2+3 is;
m × 1/2 = -1
m = -2
Now we find the equation of a line passing through (1,8) and have a gradient of -2.
-2 = (y - 8)/(x - 1)
-2(x - 1) = (y - 8)
2 -2x = y - 8
y = -2x + 10
