X equals 4 and the x axis
Answer: Your answer will be 1/2
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
Answer:
Answer:
y = 16/25x³
Step-by-step explanation:
If y is inversely proportional to a^3, this is expressed as;
y∝1/a³
y = k/a³ where k is the proportionality constant
Given a=2, y=10, then 10 = k/2³
k = 10*2³
k = 80
Substituting k = 80 back into the formula;
y = 80/a³ ............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = 20/4
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = 80/a³
y = 80/(5x)³
y = 80/125x³
y = 16/25x³
Hence the formula for y in terms of x is y = 16/25x³
Step-by-step explanation:
Step-by-step explanation:Solve for p by simplifying both sides of the inequality, then isolating the variable.Inequality Form:p≤12.5Interval Notation:(−∞,12.5]
Hoped this helped