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3 years ago

(2x^2-5x+1)+(x^2-x-4)

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

3x^2-6x -3

Step-by-step explanation:

(2x^2-5x+1)+(x^2-x-4)

we sum all coefficient according to the exponent of the variable

2x^2-5x+1+x^2-x-4 = 3x^2-6x -3

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Write equation of the line containing (4,2) and (3,5)<br> in slope-intercept form.

11Alexandr11 [23.1K]

Answer:

The equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:

y=-3x+14

Step-by-step explanation:

Given the points

(4, 2)

(3, 5)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-2}{3-4}$

$m=-3$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

$y=mx+b$

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

$y=mx+b$

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:

y=-3x+14

6 0

3 years ago

Let: u, v, w \varepsilon R3<br><br> Prove: (u x v) * [(v x w) x (w x u)] = [u * (v x w)]2

sweet [91]

Recall that for 3 vectors $a,b,c$ , all in $\mathbb R^3$ , the vector triple product

$a\times(b\times c)=(a\cdot c)b-(a\cdot b)c$

$(v\times w)\times(w\times u)=((v\times w)\cdot u)w-((v\times w)\cdot w)u$

Also recall the scalar triple product,

$a\cdot(b\times c)$

which gives the signed volume of the parallelipiped generated by the three vectors $a,b,c$ . When either $a=b$ or $a=c$ , the parallelipepid is degenerate and has 0 volume, so

$(v\times w)\cdot w=0$

and the above reduces to

$(v\times w)\times(w\times u)=((v\times w)\cdot u)w$

so that

$(u\times v)\cdot[(v\times w)\times(w\times u)]=(u\times v)\cdot((v\times w)\cdot u)w$

The scalar triple product has the following property:

$a\cdot(b\times c)=b\cdot(c\times a)=c\cdot(a\times b)$

Since $(v\times w)\cdot u$ is a scalar, we can factor it out to get

$((v\times w)\cdot u)((u\times v)\cdot w)$

and by the property above we have

$(u\times v)\cdot w=u\cdot(v\times w)$

and so we end up with

$[u\cdot(v\times w)]^2$

as required.

4 0

3 years ago

Help I can’t figure this out

chubhunter [2.5K]

Answer:

3.74

Step-by-step explanation:

Use Pythagorean theorem

2.5^2=x^2=4.5^2

x=3.74

8 0

3 years ago

Read 2 more answers

Can you please help please please help me with this question is so hard and i will give you a Brainiest please

mrs_skeptik [129]

Question 1 :

x ≤ 4

Question 2:

i think its 40-5

7 0

2 years ago

With complete solution please I need Thanks

Liula [17]

Answer:

Step-by-step explanation:

We can make this and equation

x • y = 1260

x = 3y +48

Our equation is

(3y +48)y = 1260

We get y = 14

6 0

2 years ago