Answer:
I will answer tomorrow, I promise. Need to sleep atm
Answer:
ΔDEF is not a right triangle because no two sides are perpendicular.
Step-by-step explanation:
The coordinates of the vertices of ΔDEF are given to be D(-4,1), E(3,-1) and F(-1,-4).
Now length of DE is given by 
units
length of EF is given by 
units
and length of FD is given by 
units.
Therefore, 53 ≠ 25+34
Hence, the length of the sides does not support the Pythagoras theorem.
So, ΔDEF is not a right triangle because no two sides are perpendicular. (Answer)
The formula of interest is
A = (1/2)r²·θ
You have r = 9 m, θ = 3π/5. Then the area is
A = (1/2)(9 m)²(3π/5) = 24.3π m²
The sector area is ...
A ≈ 76.3 m²
Answer:
y = (x - 3)²
Step-by-step explanation:
The vertex of the general equation of the parabola of the form:
y = (x - h)² + k
is at (h, k)
We are given that the vertex is at the point (3, 0)
This means, h = 3 and k = 0
Using these values in the first equation, we get:
y = (x - 3)² + 0
y = (x - 3)²
Therefore, 1st option gives the parabola with vertex at (3, 0)
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.
