Conversions:
1 yard = 36 inches
The store only sells fabric by the by the quarter yard.
<h2><u><em>
The yellow fabric: 450/36 = 12.5 square yards</em></u></h2><h2><u><em>
The blue fabric: 478/36 is around 13.3 square yards</em></u></h2>
Total Amount: 12.5+13.3=
<h2><u><em>
25.8 square yards</em></u></h2>
The known facts
- the sum of Natalie's age and Fred's age is 36
- the sum of Fred's age times four and Natalie's age is 72
Now, let's set up the equations where N is Natalie's age and F is Fred's age.
N + F = 36 ---- equation 1
N + 4F = 72 ---- equation 2
equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24
Thus Fred is 12 years old, and Natalie is 24 years old.
30, 6
150, 30
180 ................
To dilate an object using a given scale factor we can multiply the coordinates of the object by the scale factor to get the coordinates of the image. However, this can only be done when the center of dilation is the origin (0,0). For non-origin center of dilation like in our case we have to locate the points of the image by construction in a Cartesian plane using the center and the scale factor. In this case we need to measure the distance of A from a point F (center of dilation) the we multiply it by 0.25 (the scale factor) then using the same path we measure the distance we get to locate point A'. Hence, by so doing point A' will be (1,0).
Answer:
slope for perpendicular line is -3
Step-by-step explanation:
just flip the reciprocal for the slope and change the positive/negative sign
