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dmitriy555 [2]
2 years ago
6

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right

angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.
What is the value of y?

3 StartRoot 3 EndRoot units
6 StartRoot 3 EndRoot units
9 StartRoot 3 EndRoot units
12 StartRoot 3 EndRoot units
Mathematics
1 answer:
Agata [3.3K]2 years ago
7 0

Answer:

6 StartRoot 3 EndRoot units

Step-by-step explanation:

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Mrs. Miller sells a house for 179,000. If she earns a commission of 6%, how much money does she earn? ( can u also show me how u
Kryger [21]

Hi there!

Mrs. Miller earns a commission of 6% of 179,000

The word "of" is the same thing as a multiplication sign.

6% of 179,000 = 6% × 179,000

6% = 0.06

6% × 179,000 = 0.06 × 179,000

0.06 × 179,000 = 10,740


Your answer is: Mrs. Miller earns $10,740 of commission.


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
3 years ago
Dertermine if each ordered pair is a solution of the equation 5x+2y=2
Ostrovityanka [42]
The answer is C. All you need to do is find the Y values that correspond with the X values. Have a great day 
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12-y=2x-5 in slope-intercept form
Gemiola [76]

Answer: y = -2x + 7  

Step-by-step explanation:

Slope intercept form is the same as solving for y in the equation .

So solve for y and it will be in slope intercept form.

12 - y = 2x + 5   Subtract 12 from both sides

-12             -12

-y = 2x  -7      Now divide both sides by -1

y = -2x + 7

8 0
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If you deposit $100 at 8% interest, how much will you have after one year?
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8% of 100 is 8, so add that to your initial deposit and you will have $108 after one year.
8 0
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