Use the coordinates of the two black dots:
(2,3) and (7,6)
Slope is the change in Y over the change in X:
Slope = (6-3) / (7-2)
Slope = 3/5
To isolate m, we'll multiply both sides by 8.
We go from m/8 < 4 to m < 32
This describes any number smaller than 32. We aren't including 32 itself, so we have an <u>open circle</u> at 32 on the number line. The <u>shading is to the left</u> since everything to the left of 32 is smaller than 32.
Answer: The larger rug is 4 times larger
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
The small circular rug covers an area of approximately 67 square feet. This means that
67 = πr²
r² = 67/π = 67/3.14 = 21.34
r = √21.34 = 4.62
If a large size rug has twice the dimensions of a small rug, it means that the radius of the larger rug would be
2 × 4.62 = 9.24
The area of the larger rug would be
3.14 × 9.24² = 268.06ft²
Therefore
268.06/67 = 4
The larger rug is 4 times larger
If a triangle has three legs that are all different measures, and the angles are all different too, it is a scalene triangle
Answer:
A 3
Step-by-step explanation:
Let n = the number
a number decreased by 12
n-12
This is equal to 3 times the opposite =
3 times the opposite
3*(-n)
-3n
Setting the two parts equal
n-12 = -3n
Subtract n from each side
n-n-12 = -3n-n
-12 = -4n
Divide by -4
-12/-4 = -4n/-4
3 =n
