Answer:
x = 4
, y = 2
Step-by-step explanation by elimination:
Solve the following system:
{2 x + 3 y = 14 | (equation 1)
x + 5 y = 14 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 3 y = 14 | (equation 1)
0 x+(7 y)/2 = 7 | (equation 2)
Multiply equation 2 by 2/7:
{2 x + 3 y = 14 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 4
, y = 2
First you need to distribute. when you do this you get (8v+8w)-(7v+14w) then you get like terms together, but don't forget that everything in (7v+14w) is negative. when you group like terms together you get (8v-7v)+(8w-14w) simplify and you get v-6w
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
total number of miles driven
Answer:
37.7 ft
Step-by-step explanation:
or 
Because diameter is given
C = 12
=37.7 ft
