6^2 + 20.1^2 =? 22.9^2
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.
10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.
1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

so

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2

thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
Answer:
"76°" is the appropriate solution.
Step-by-step explanation:
Please find attachment of the diagram according to the given query.
The given values are:
In ΔDEF,
f = 610 inches
e = 590
∠E = 70°
∠F = ?
By using the law of sines, we get
⇒ 
On substituting the values, we get
⇒ 
On applying cross multiplication, we get
⇒ 
On substituting the values, we get
⇒ 
⇒ 
⇒ 
now,
⇒ 
⇒ 
from all the 247 students, 7 went on by cars, meaning they didn't fit in the buses, so they students that went in the buses are 247 - 7 = 240.
now, we know there were 6 buses, so dividing 240 evenly by 6, 240/6 = 40.
Answer:
Number 3
Step-by-step explanation: