Answer:
The answer to your question is the first choice
Step-by-step explanation:
Data
Point = (-2, -5)
Process
Evaluate each of the equations on the point given.
A. y = x - 3
-5 = -2 - 3
-5 = -5 This is true so the point is on this line
B. y = 2x
-5 = 2(-2)
-5 = -4 The result is false so the point is not on this line
C. y = -3x
-5 = -3(-2)
-5 = 6 The result is false so the point is not on this line
D. y = x + 3
-5 = -2 + 3
-5 = 1 The result is false so the point is not on this line
9514 1404 393
Answer:
5.6 feet
Step-by-step explanation:
Assuming your zip line equation is supposed to be ...
y = -8/3x +8
we can rewrite it to general form:
8/3x +y -8 = 0
8x +3y -24 = 0 . . . . multiply by 3
Now, we can use the formula for the distance from a point to a line:
d = |ax +by +c|/√(a²+b²) . . . . . distance from (x, y) to ax+by+c=0
Filling in the values we know, we have ...
d = |8(3) +3(16) -24|/√(8² +3²) = 48/√73 ≈ 5.6
The distance from the tree to the zip line is about 5.6 feet.
Answer:
-25.00% decrease, quite a deal
Answer:
x = 17
Step-by-step explanation:
you just minus the 2
Answer:
85 cm²
Step-by-step explanation:
The base is a square with side length 5 cm. The area of this base is
A = s² = (5 cm)² = 25 cm².
If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,
A = (1/2)(base)(height), which here is
A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.
The total area of these sides is 4(15 cm²) = 60 cm².
Then the total surface area of the pyramid is A = 60 cm² + 25 cm² = 85 cm².
