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4 years ago

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.

Mathematics

1 answer:

Sphinxa [80]4 years ago

5 0

Answer:

C.) subtract to eliminate y

Step-by-step explanation:

Given

9x - 2y = -75

2x - 2y = -12

Subtract to eliminate y

-2y - (-2y) = -2y + 2y = 0

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Factor x3 + x2 + x + 1 by grouping. What is the resulting expression? (x2)(x + 1) (x2 + 1)(x) (x2 + 1)(x + 1) (x3 + 1)(x + 1)

yanalaym [24]

Answer : $(x^2 + 1)( x + 1)$

Factor $x^3 + x^2 + x + 1$ by grouping

We group first two terms and last two terms

$(x^3 + x^2)+( x + 1)$

Now we take out GCF from each group

GCF of $(x^3 + x^2)$ is x^2

GCF of $+( x + 1)$ is 1

$(x^3 + x^2) +( x + 1)$

$x^2(x + 1) +1( x + 1)$

Now we factor out x+1 that is in common

$(x^2 + 1)( x + 1)$

6 0

4 years ago

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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

add simplify if possible I've already posted this once and I don't know what the answer was correct as somebody can do this I wi

elena55 [62]

Answer: 15 + 53/77

Step-by-step explanation:

Multiplying a fraction by 1 does not change the value.

Any number divided by itself is 1.

For instance, 11/11 = 7/7 = 1.

12 + 1/7 + 3 + 6/11 = 15 + 1/7 + 6/11

= 15 + (11×1)/(11×7) + (7×6)/(7×11)

= 15 + 11/77 + (6×7)/77

= 15 + (11 + 6×7)/77

= 15 + 53/77

It is faster to make sure to multiply by the "smallest" form of one that will work, but you don't have to. You only need to make sure that at the end there are no common factors in numerator and denominator, and that numerator is smaller than denominator.

6 0

3 years ago

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What is the measure of Angle

postnew [5]

Answer:

90°

Step-by-step explanation:

90°

8 0

3 years ago

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