Answer:
7 + 5 = 12
Step-by-step explanation:
7 steps plus 5 steps equals 12 steps
Answer:
x = 4
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 3)² + (4(x + 2))² = 25² ← expand parenthesis on left side
x² + 6x + 9 + 16(x+ 2)² = 625
x² + 6x + 9 + 16(x² + 4x + 4) = 625
x² + 6x + 9 + 16x² + 64x + 64 = 625 ← simplify left side
17x² + 70x + 73 = 625 ( subtract 625 from both sides )
17x² + 70x - 552 = 0 ← in standard form
with a = 17, b = 70, c = - 552
Using the quadratic formula to solve for x
x = ( - 70 ±
) / 34
= ( - 70 ±
) / 34
= - 70 ±
) / 34
= - 70 ± 206 ) / 34
x =
= - 8.1176....
or x =
= 4
However, x > 0 ⇒ x = 4
Hence
x + 3 = 4 + 3 = 7 and
4(4 + 2) = 24
The triangle is a 7- 24- 25 right triangle
Answer:
Step-by-step explanation:
A) When the first equation is multiplied by 5 and the second equation by –6 ,
the equations become,
35x + 60y=54
-30x - 60y=60
Hence we can eliminate y by adding the equation.
B) When the first equation is multiplied by -5 and the second equation by 6 ,
the equations become,
-35x - 60y=54
30x + 60y=60
Hence we can eliminate y by adding the equation.
C) When the first equation is multiplied by -5 and the second equation by 7,
the equations become,
-35x - 60y=54
35x - 70y=60
Hence we can eliminate x by adding the equation.
D) When the first equation is multiplied by 5 and the second equation by -7,
the equations become,
35x + 60y=54
-35x - 70y=60
Hence we can eliminate x by adding the equation.
E) When the first equation is multiplied by -5 and the second equation by 10,
the equations become,
-35x - 60y=54
50x - 100y=60
Hence we can not eliminate x by adding the equation.