Answer:
y = 
x + 6 or y = x - 0.375
Step-by-step explanation:
For 2 lines to be perpendicular, their slopes must be <u>negative reciprocals</u>. In order to find the perpendicular of y - 4x - 6 = 0:
SLOPE INTERCEPT FORM: y = 4x + 6
SLOPE OF LINE A: m=4
SLOPE OF LINE B (the one you are looking for): m=
Since I don't know if you meant that they intercept on the x or y axis I will do both.
<u>y-axis</u>
y-6=(x-0)
y = x+6
<u>x-axis</u>
y-0=(x-1.5)
y=x-0.375
9514 1404 393
Answer:
11
Step-by-step explanation:
2 3/4 lb = 11/4 lb = 11×(1/4 lb)
The cook can make 11 quarter-pound burgers.
Answer:
Step-by-step explanation:
The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).
circle diameter radius
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula:
C=π⋅dorC=2π⋅r
Well, to find the circumference of a circle, we can use the formula
C=2
r.
So just plug in 3.5 into the formula.
C=2
3.5.
Multiply and we get C=21.99. which is about 22
So our answer would be C. 22 feet.
Hope I helped!
Answers:
- D ' at (9, -9)
- E ' at (5, -9)
- F ' at (5, -2)
- G ' at (9, -2)
Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
- Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).
- Reflect across the y axis using the rule
. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same. - Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.
Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
- Shift point D three units to the left to arrive at (-6, -9)
- Reflect over the y axis to go from (-6, -9) to (6, -9)
- Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'
In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
- The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.
- Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.
