Answer:
BC = 8 and EF = 8.
Step-by-step explanation:
Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).
Set BC and EF equal to each other.
x + 6 = 3x + 2
Subtract x from both sides.
6 = 2x + 2
Subtract 2 from both sides.
4 = 2x.
Divide 2 on both sides.
x = 2.
Substitute 2 for x.
BC = 2 + 6
BC = 8
Since we already know that EF is congruent to BC, EF is also 8.
EC = 3(2) + 2
EC = 6 + 2
EC = 8
Answer:
2x=3y or x= -3y/2 and y =2/-3y
Step-by-step explanation:
4x-2x=-3y
2x=-3y
Answer:
x=2, y=3
Step-by-step explanation:
First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.
Plugging these values in the equations for x and y, you can see if these are the correct answers:
(3)=3(2)-3, (2)+(3)=5
Since both of these are true, you have the right answer.
Hope this helps!
Answer:
6 kg/m
Step-by-step explanation:
mass m = 3x^2.
rho ρ= dm/dx =6x
ρ(1) =6 Kg/m
linear density is the derivative of mass (m) with respect to position(x)
that is how fast is the mass changing at that position.
Answer:
m = 2.25
Step-by-step explanation:
In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)
Plug in these values:
(26.25 - 8.25) / (11 - 3)
Simplify the parentheses.
= (18) / (8)
Simplify the fraction.
18/8
= 9/4
This is your slope.
In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.