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2 years ago

I have to find the area of the shaded region. please helppp!!!!! xksnkskzks

Mathematics

1 answer:

IgorLugansk [536]2 years ago

5 0

Answer:

9.53 cm2

Step-by-step explanation:

hope it helps

Here is the solution:

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If g(x) = 4x^2 - 16 were shifted 7 units to the right and 3 down, what would the

Kitty [74]

Answer:

The new equation is $h(x)=4(x-7)^2-19$

Step-by-step explanation:

Given : Function $g(x) = 4x^2 - 16$ were shifted 7 units to the right and 3 down.

To find : What would the new equation be?

Solution :

Shifting to the right with 'a' unit is

f(x)→f(x-a)

So, shifting g(x) 7 units to the right is

$h(x) = 4(x-7)^2-16$

Shifting to the down with 'b' unit is

f(x)→f(x)-b

So, shifting g(x) 3 units down is

$h(x)=(4(x-7)^2-16)-3$

$h(x)=4(x-7)^2-19$

The new equation is $h(x)=4(x-7)^2-19$

8 0

2 years ago

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers

WORTH 10 points.

Tanya [424]

The answer is B because I did the math

8 0

2 years ago

Can you please help me with this math problem

Lera25 [3.4K]

This question is nasty. It sounds like you should be finding area of the figure you see. I'll do that first, although I don't think it's the right answer. (But it might be).

Area Trapezoid = (b1 + b2) * h / 2
b1 = 8
b2 = 12
h = 5
Area Trapezoid = (8 + 12 ) * 5 / 2
Area Trapezoid = 20 * 5/2
Area = 50 square feet.

The problem is that no lumber yard will cut that for you without charging you. The practical answer is 12 * 5 = 60 square feet is what you will have to buy. Then you cut out the triangles for yourself.

3 0

2 years ago

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Please help! 60 points!

podryga [215]

Answer:

Step-by-step explanation:

try method B, hope it helps

4 0

2 years ago

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