Answer:
In the given expression 
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Step-by-step explanation:
We are given the expression 
We need to give variable, coefficients and constant.
Variable: The value of variable may change. It can be represented by x, y or any other letter
Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient
Constant: It is fixed value. It cannot be changed.
So, in the given expression 
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Answer:
The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix x = 3/2
Step-by-step explanation:
∵ r = ek/(1 ± ecosФ)
∵ r = 9/(1 + 6cosФ)
∴ e = 6 ⇒ eccentricity = 6
∵ e > 1
∴ The conic is hyperbola
∵ ek = 9
∴ k = 9/6 = 3/2
∴ The directrix x = 3/2
The equation to find the Volume of something is length*Width*height
therefore:
(I'm confused as to what <span>10/1/2 means so)
</span>
•on the assumption that 10/1/2 means 10 and a half - 10.5
then it would be - 15*10.5*2.5 = 393.75m^3
<span>•on the assumption that 10/1/2 means 10 divided by 1/2 then it would be:
</span>15*20*4 = 1200m^3
Answer:
<em>length</em><em> </em><em>l</em><em> </em><em>=</em><em>150</em><em> </em>
<em>breadth</em><em> </em><em>b</em><em> </em><em>=</em><em> </em><em>80</em><em> </em>
<em>lf</em><em> </em><em>2</em><em> </em><em>m</em><em> </em><em>wide</em><em> </em><em> </em><em>of</em><em> </em><em>road</em><em> </em><em>is</em><em> </em><em>inside</em><em> </em><em>the</em><em> </em><em>garden</em>
<em>then</em>
<em>lt's</em><em> </em><em>area</em><em> </em><em>=</em><em> </em><em>l</em><em> </em><em>×</em><em>b</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>150</em><em> </em><em>×</em><em> </em><em>2</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>300m</em><em>^</em><em>2</em>
Answer:
5. x = -1
6. x = 2
Step-by-step explanation:
5. AB = 5
BC = 2x + 6
AC = x + 10
AB + BC = AC (segment addition postulate)
5 + 2x + 6 = x + 10 (substitution)
Collect like terms
5 + 6 + 2x = x + 10
11 + 2x = x + 10
2x - x = - 11 + 10
x = -1
6. AB = 9x + 7
BC = -3x + 20
AC = 39
AB + BC = AC (segment addition postulate)
(9x + 7) + (-3x + 20) = 39 (substitution)
Solve for x
9x + 7 - 3x + 20 = 39
Collect like terms
9x - 3x + 7 + 20 = 39
6x + 27 = 39
Subtract 27 from both sides
6x + 27 - 27 = 39 - 27
6x = 12
Divided both sides by 6
6x/6 = 12/6
x = 2