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matrenka [14]
3 years ago
11

Simplify (4x2 + 9x + 2) + (-2x2 + 2x - 3).

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

Answer:

6x^2 + 11x -1

Step-by-step explanation:

4x^2 + 9x + 2 + 2x^2 + 2x -3

Add the like terms to get the answer

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____
Sauron [17]
<h2>Answer:</h2>

2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)

So we need to find two things:

2\vec{v}-6\vec{u}

and:

||2\vec{v}-6\vec{u}||

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}

SECOND:

If we name:

\vec{w}=2\vec{v}-6\vec{u}

Then, ||2\vec{v}-6\vec{u}|| is the magnitude of the vector \vec{w}. Therefore:

||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}

5 0
3 years ago
Read 2 more answers
Few drivers realize that steel is used to keep the road surface flat despite the weight of buses and trucks. Steel bars, deeply
Mrrafil [7]

Answer: Is reinforced with other material

Step-by-step explanation:

The options are:

A is expensive to build.

B usually cracks under heavy weights.

C looks like any other road.

D is reinforced with other material.

The passage best supports the statement that a concrete road are reinforced with other material. According to the information given in the passage, steel plays a vital role in keeping the road surface flat.

Steel bars are embedded in concrete so that the stresses cannot crack the slab. Therefore, it indicates that concrete road is reinforced with other material.

4 0
2 years ago
Find the value of in the triangle shown below<br><br> 9, 7, and x around the triangle
enot [183]

Answer:

5.66 units

Step-by-step explanation:

A's per our discussion, x is a leg of right triangle.

Therefore, by Pythagoras theorem:

x =  \sqrt{ {9}^{2}  -  {7}^{2} }  \\  =  \sqrt{81 - 49}  \\  =  \sqrt{32}

x =  \sqrt{ {16}^{2}  -  {12}^{2} }  \\  =  \sqrt{256 - 144}  \\  =  \sqrt{112}

4 0
3 years ago
Which is the correct answers? (more than one)
viktelen [127]

B True because both graphs approaches x=0 but never touches it

E True if you just graph it out you can see that graph of g is going down and the graph of x is going up

A false because neither of the equations have a y intercept they have asymptote of x=0

C false because it is also a reflection across the x axis

D incorrect is because they both have domain {0<x<♾}

Hope this helped!

6 0
3 years ago
Use a graph to solve this equation.<br> th<br> 2x2–5=-X? + 2x – 1
solong [7]

Answer:

X + 2= 0

X - 4  > 7

-4 + y = 3y + 4 (y - 3)

4 0
3 years ago
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