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3 years ago

(4√7 + √3) (√7 - 2√3) Solve by multiplying and simplifying radical expression

Mathematics

2 answers:

Ivenika [448]3 years ago

8 0

Answer:

-10.08

Please Mark Brainliest If This Helped!

OLga [1]3 years ago

3 0

22-7 (square root)21. or -10.8

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At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

4 0

4 years ago

Griffin’s General Store is having a 30% off sale on fans. Robert paid $24. 50 for a fan that was on sale. What is the original p

Fed [463]

$35.71

Step-by-step explanation:
Since Griffin’s General Store is having a 30% off sale on fans, it simply means that fans are paying for (100%-30%)= 70%.
Let the original price be x;
Therefore, 70% of x equal to $25;

70/100x = 25
0.7x = 25

x = 35. 71
(There ya go)

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3 years ago

Simplify: x^0y^-3/x^2y^-1

Y_Kistochka [10]

The answer is a 1/x^2y^2

8 0

3 years ago

Read 2 more answers

PLEASEEEEEEEE HELP ME WITH THIS ILL GIVE YOU BRAINLIST I SWEARRR

Oxana [17]

Answer:

1444 pairs of jeans were sold

Step-by-step explanation:

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4 years ago

What is the angle of elevation of the sun if a 45 foot tall flagpole casts a 22 foot long shadow?

const2013 [10]

Answer:

the angle Ф is 63.9 degrees.

Step-by-step explanation:

A right triangle describes this situation. The height of the triangle is 45 ft and the base is 22 ft. The ratio height / base is the tangent of the angle of elevation and is tan Ф. We want to find the angle Ф:

opp

tan Ф = ---------- = 45 / 22 = 2.045.

adj

Using the inverse tangent function on a calculator, we find that the angle Ф is 63.9 degrees.

8 0

3 years ago