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3 years ago

(4x² + 11x^4 + 6x^5) + (3x^5+ 9x² + 12x^4) ｡ﾟ(ﾟ´ω`ﾟ)ﾟ｡

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

Answer: It is 9x 5 + 23x 4 + 13x

Step-by-step explanation:

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What is the equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y =

Zepler [3.9K]

The equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form is x - 2y = - 3

Solution:

Given, line equation is 2x + y = 3

2x + y – 3 = 0 ----- eqn (1)

We have to find a line that is perpendicular to 2x + y – 3 = 0 and passing through (5, 4).

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{1}=-2$

$\text { Slope of a line } \times \text { slope of perpendicular line }=-1$

$\begin{array}{l}{-2 \times \text { slope of perpendicular line }=-1} \\\\ {\text { Slope of perpendicular line }=-1 \times \frac{1}{-2}=\frac{1}{2}}\end{array}$

Now, slope of our required line = 1/2 and it passes through (5, 4)

The point slope form is given as:

$y-y_{1}=m\left(x-x_{1}\right)$

$\text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }$

$\text { Here in our problem, } \mathrm{m}=\frac{1}{2}, \text { and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(5,4)$

$y-4=\frac{1}{2}(x-5)$

Now let us convert to standard form:

The standard form of a line is just another way of writing the equation of a line.

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.

2(y – 4) = 1(x - 5)

2y – 8 = x – 5

x – 2y - 5 + 8 = 0

x - 2y + 3 = 0

x - 2y = - 3

Hence, the line equation in standard form is x - 2y = - 3

4 0

3 years ago

it was estimated that the united states would need 6200 more veterinarians in 2012. The percent error was 10%. if the estimate w

Margaret [11]

5580 veterinarians were actually needed.

To find this you must find what is 10% of 6200.

In math, of = multiplication.

So you multiply 10% and 6200. In order to do so, you must turn the percentage into a decimal or fraction. So 0.1 x 6200

That should get you 620. However, that IS NOT your final answer, since 620 is only 10% of the total, not the amount needed.

To get the actual amount of veterinarians, you subtract 620 from 6200, and should get 5580, the final answer.

4 0

3 years ago

Is this correct? (Correct me if im wrong and tell me what is wrong like the number!

Rudiy27

Answer:

number 1 is wrong

Step-by-step explanation:

7 0

3 years ago

What is a non example for volume in math?

PolarNik [594]

A non example for volume in math is a box is little

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3 years ago

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Vector V is shown in the graph below.

Lady_Fox [76]

Answer:

v = -8i - 6j

Step-by-step explanation:

The starting point is (9, 9)

The direction of the vector is the direction of the arrowhead.

The i is the horizontal component.

The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

8 0

3 years ago

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