Answer:
13 miles
Step-by-step explanation:
The shortest distance would be a straight line between the two points. This would be a hypotenuse of a right triangle
We can use the Pythagorean theorem to determine the length
a^2+b^2=c^2
5^2 +12^2 = c^2
25+144= c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
Answer:
y = -7
Step-by-step explanation:
Put x = 2 in any one of the equation
5x +2y = -4
5*2 + 2y = -4
10 +2y = -4
2y = -4 -10
2y = -14
y = -14/2
y = -7
Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = 
.
But, 
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e 
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, 
= m where
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
So basically the height is divided by a certain number to evenly divide it
We are given a concave spherical mirror with the following dimensions:
Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm
First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation:
Assume f = 10 cm
1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i
d i = 15 cm
Then, calculate for h i:
h i / h o = - d i / d o
h i / 6 = - 15 / 30
h i = - 3 cm
Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted".
