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FromTheMoon [43]
3 years ago
9

The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

x=6 y=5

Step-by-step explanation:

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Solve for x: x^2+4x-5=16x
BigorU [14]
Solve for x: x^2+4x-5=16x
first take 16x from both sides of the equation
x²-12x-5=0
now we have a quadratic. we can solve it by using the quadratic formula
x=-b plus or minus the square root of b²-4ac all divided by 2a
where a=1, b=-12 and c=-5
plug these numbers into the formula
x=12 plus or minus the square root of 144-4x1x-5 all divided by 2
<span>x=12 plus or minus the square root of 164 all divided by 2
or in decimal form </span>x = {12.403124237, -0.403124237}
6 0
3 years ago
Read 2 more answers
Find the equation for the plane through the points Upper P 0 (4 comma 5 comma negative 3 )P0(4,5,−3)​, Upper Q 0 (1 comma 4 comm
alexira [117]

Answer:

  4x -4y +z = -7

Step-by-step explanation:

The direction vector will be perpendicular to any/all vectors between the given points. It can be found, for example, using the cross product:

  d = (P0Q0) × (P0R0) = (-3, -1, 8) × (-4, -3, 4)

The cross product can be computed by hand or by any of a number of calculators or web tools. Here it will be ...

  d = (20, -20, 5)

These can be the coefficients of x, y, and z in the plane equation. However, the equation is better written using coefficients that are mutually prime, so we choose the direction vector to be ...

  d = (4, -4, 1)

The constant C in the plane equation

  d·(x, y, z) = C

will be the dot product of this direction vector (d) any any of the given points. Using R0, we find the constant to be ...

 C = (4, -4, 1)·(0, 2, 1) = 4·0 +(-4)·2 +1·1 = -8+1 = -7

so, the plane equation is ...

  4x -4y +z = -7

6 0
3 years ago
A train leaves Miami at 3:00pm. A second train leaves the same city in the same direction at 5:00pm. The second train travels 50
Alexxandr [17]
Let the speed of the first train be v mph. Then the speed of the second train is:
(v + 50) mph.
Distance traveled by the first train from 3pm to 7pm = 4v miles.
The second train travels 4v miles in 2 hours (from 5pm to 7pm). Therefore the speed of the second train = (4v)/2 = 2v.
However the speed of the second train is also given by (v + 50) mph.
v + 50 = 2v
v = 50.
The speed of the first train is 50 mph and the speed of the second train is 100 mph.
4 0
3 years ago
Write 4x = 1024 in logarithmic form. A) logx1024 = 4 B) log41024 = x C) logx4 = 1024 D) log10241024 = x
Step2247 [10]
<span>The answer would be B) log4 1024 = x

The logarithmic form can be explained as

</span>log_{A}<span> B=C   -----> A^C=B

Using </span>A^C=B to the question (4^x=1024) will result
A=4
B=1024
C=x

If you put the variable into logarithmic form
log_{A} B=C
log_{4} 1024= x
6 0
3 years ago
Pls help I am on a timer
kicyunya [14]

Answer:A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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