Answer:
Step-by-step explanation:
Distance Formula:
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:
For x = -4
f (x) = x + 2
We evaluate the value of x = -4
f (-4) = (- 4) +2
f (-4) = - 2
For x = 4
f (x) = - 2x + 4
We evaluate the value of x = 4
f (4) = - 2 (4) +4
f (4) = - 8 + 4
f (4) = - 4
For x = 0
f (x) = 3x-4
We evaluate the value of x = 0
f (0) = 3 (0) -4
f (0) = 0-4
f (0) = - 4
Answer:
f (-4) = - 2
f (4) = - 4
f (0) = - 4
Answer: 3
Step-by-step explanation:
From the question, we are informed that Tanisha plans to invite 24 people to a snack and that each package contains 8 invitations.
The number of invitation packages that should be bought will be the number of people to be invited divided by the invitations in each package. This will be:
= 24/8
= 3 invitation packages
Answer/Step-by-step explanation:
x + 74° + 20° = 180° (sum of interior angles of a triangle)
x + 94° = 180°
x = 180° - 94° (subtraction property of equality)
x = 86°
y = 74° + 20° (exterior angle theorem of a triangle)
y = 94°
y + z + 32° = 180° (sum of interior angles of a ∆)
Plug in the value of y
94 + z + 32 = 180
z + 126 = 180
z = 180 - 126
z = 54°
Answer:
Step-by-step explanation:
a. Given that the area's are in the ratios 16:81.
-Area is two-dimensional while perimeter is one-dimensional
=>The perimeter's of the two polygons will vary in a ratio equal to the square root of their area's ratio:
We use the perimeter ratio to find the perimeter of the larger polygon:
Hence, the perimeter of the larger polygon is 954 ft
b -Given the area of the larger polygon is 4779 ft2, the smaller polygon can be determined using the area ratio 16:81
Hence, area of the smaller polygon is