Answer:
y=-2x+1
Step-by-step explanation:
to find the slope use the formula (y2-y1)/(x2-x1)
-5-3= -8
3-(-1) = 4
-8/4 = -2
Answer:
126 square feet
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh . . . . . where b is the base length and h is the height
Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...
A = (1/2)(6 ft)(14 ft) = 42 ft^2
The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...
LA = 3·(42 ft^2) = 126 ft^2
How much of a 40 g sample would be left after 90 years
Answer:
The arc length of a circle is 3.14 m or 1π m
Step-by-step explanation:
First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to 90°
To solve this exercise we need to use the circumference formula of a circle:
c = circumference
r = radius = 2m
π = 3.14
c = 2π * r
we replace the known values
c = 2 * 3.14 * 2m
c = 12.56m
As we know a circle is represented with 360 ° and they tell us that the angle is 90 °, so we have to know the relationship with respect to the total
90° / 360° = 1/4
Now we multiply this number by the circumference and we will obtain the length of the arc
12.56m * 1/4 = 3.14
The arc length of a circle is 3.14 m or 1π m