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ValentinkaMS [17]
3 years ago
8

The arithmetic mean of two numbers is 18 and the geometric mean is 16. find the sum of squares of the numbers

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
X+y=36
xy=256

x=256/y
256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

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Equation that has a slope of -4 and passes through the point (-2, 2) show work too
Alenkinab [10]

Answer:

y=-4x-6

Step-by-step explanation:

y=mx+b, where m is the slope and b is the y-intercept

Slope is given as -4, so:

y=-4x+b

To find b, sub in the point we were given (-2,2):

2=-4(-2)+b

2=8+b

b=2-8=-6

So we have: y=-4x-6

7 0
3 years ago
If x2 - 6x - 16, what are the x-intercepts?​
romanna [79]
If that’s meant to be x^2 - 6x - 16
Then factorise to (x+2)(x-8)
So x intercepts are -2 and 8
8 0
3 years ago
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SOMEONE HELP ITS DUE TONIGHT
il63 [147K]

Answer:

n=27 degrees

m=36 degrees

Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

n=27 degrees

m=36 degrees

8 0
3 years ago
Write (75d)1/2 in radical form
Kitty [74]
(75d)^{ \frac{1}{2} }= \sqrt{75d}=5 \sqrt{3d}
7 0
3 years ago
Which expressions are differences of squares?
Zarrin [17]
If an expression is the difference of two squares, it will follow this format:
(a)^{2}-(b)^{2}
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1) w^{2} - 121 = (w)^{2} -( 11)^{2}
Since the expression follows the format, it's a DoTS.

2) Since the binomial has an addition sign, it isn't a DoTS.

3) n^{2}-50=(n)^{2}-(5\sqrt{2})^{2}
The second term isn't an integer, so the expression isn't a DoTS.

4) a^{2}-36=(a)^{2}-(6)^{2}
Since the expression follows the format, it's a DoTS.

Therefore, the first and fourth expressions are differences of two squares.
6 0
3 years ago
Read 2 more answers
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