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Sergio [31]
3 years ago
11

Graph this function : y= -5(x+6)

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

The function y= -5(x+6) is graphed in the image below! :)

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2 years ago
The bakery makes 6 pies. Each slice is V8 of the whole pie. How many slices are there
ANEK [815]

Answer:

6

Step-by-step explanation:

4 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
Given the Trapezoid ABCD<br><br> Find the length of AD<br><br> Pls helppp
melomori [17]

Answer:

AD = 230

Step-by-step explanation:

AD = 30x - 10

MN = 31x + 1

BC = 30x + 28

To find the length of AD, we need to generate an equation that will enable us to find the value of x.

Thus,

MN = ½(AD + BC) => Trapezoid Midsegment Theorem

Plug in the values

31x + 1 = ½(30x - 10 + 30x + 28)

(31x + 1) × 2 = 30x - 10 + 30x + 28

62x + 2 = 30x - 10 + 30x + 28

Add like terms

62x + 2 = 60x + 18

62x - 60x = -2 + 18

2x = 16

x = 16/2

x = 8

✅AD = 30x - 10

Plug in the value of x

AD = 30(8) - 10 = 230

4 0
3 years ago
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