Answer: VT equals 62
Step-by-step explanation: In the square with sides STUV, the point W is a midpoint on the diagonal of the square such that the diagonal line SU is divided into two equal halves by the lines SW and WU. Also note that a square has two diagonals whose measurements are equal, that is, line SU equals line VT.
If the point W is the midpoint of SU, then we can conclude that SW equals WU. This means;
2x + 13 = 8x - 41
Collect like terms and you now have,
13 + 41 = 8x - 2x
54 = 6x
Divide both sides of the equation by 6
9 = x
Having calculated the value of x, remember that SW plus WU equals SU. And diagonal SU equals diagonal VT.
Therefore, VT is calculated as follows;
VT = SW + WU
VT = 2x + 13 + 8x - 41
VT = 2(9) + 13 + 8(9) - 41
VT = 18 + 13 + 72 - 41
VT = 62
Multiply both sides by -8 to get k = -16
To check the solution, plug in -16 into the original equation. You do in-fact get 2
Answer:
Step-by-step explanation:
area of smaller triangle=96×(3/12)²=96×1/16=6cm²
Answer:
Answer A represents this
x <= -3 ; x > 9
Step-by-step explanation:
Isolate x on each of the inequalities:
4 x + 4 <= - 8
subtract 4 from both sides
4 x <= - 12
divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)
x <= -3
This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.
The other inequality:
11 x - 11 > 88
add 11 to both sides
11 x > 99
divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)
x > 9
This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.
Answer:
x=1
Step-by-step explanation:
1) 6x-5y=5
2) 3x+5y=4
ets perform the following operation
1) +2), This leads to the following equation:
6x+3x-5y+5y=5+4
From where we obtain the solution for x
9x=9
x=1
