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3 years ago

Is the following number rational or irrational -2 π

Mathematics

1 answer:

Firlakuza [10]3 years ago

6 0

That is an irrational number

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Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

Assoli18 [71]

Answer:

$\vec l = (-4, 11) + t\cdot (-3,8)$ , $x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t \cdot \vec A$

$\vec l = (-4, 11) + t\cdot (-3,8)$

The parametric equations of the line are:

$x = -4 - 3\cdot t$ and $y = 11 + 8\cdot t$

4 0

3 years ago

Evaluate x3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.

White raven [17]

Answer:

Step-by-step explanation:

x^3-2y^2-3x^3+z^4

(3)^3-2(5)^3+(-3)^4

-142

8 0

3 years ago

The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.

mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

$A=\frac{k}{B}$

Where k is the proportionality constant [that we need to find]

For this problem, we can write the ratio as:

$N=\frac{k}{C}$

Now given N = 480 and C = 4.90, we first find k:

$N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352$

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

$N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55$

Rounding to next whole number, we have 436 items

5 0

3 years ago

Helpppp !!! i’m confused!!!!!!!!!

pshichka [43]

$\dfrac{-4\tfrac13}{-\tfrac 34}\\\\\\=\dfrac{\tfrac{13}3}{\tfrac 34}\\\\\\=\dfrac{13}3 \times \dfrac 43\\\\\\=\dfrac{52}9\\\\\\=5 \dfrac 79$

6 0

2 years ago

If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines int

uranmaximum [27]

Answer:

(6,2)

Step-by-step explanation:

Combine them

6 0

3 years ago