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Burka [1]
3 years ago
5

Please someone help and explain them to me. im confused

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

<u>is there a way i can draw on it to help explain it?</u>

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Find the distance from point A(−14, 5) to the line −x+2y = 14.
Ad libitum [116K]

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

-x+2y= 14

And the point is:

A = (x_1,y_1) = (-14,5)

The standard form of equation of line is:

Ax+By+C = 0

Converting the given equation into standard form

-x+2y-14=0

The distance of a point (x1,y1) from a line is given by the formula:

d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

5 0
3 years ago
Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =
malfutka [58]

Answer: f(x)=2x^2+5

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

f(0)=5=2(0^2)+C=C

Therefore, the integration constant 'C' must equal 5. This means that our function is:

f(x)=2x^2+5

6 0
2 years ago
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
nasty-shy [4]
I think you times all of the inchs together. 5x3x2=30.

I dont know if i am right tho. Hope this help ya.
3 0
3 years ago
A rectangular prism has a length of 13 meters, a height of 18 meters, and a width of 5 meters.
BARSIC [14]

Answer:

1170 m^3

Step-by-step explanation:

Just compute 13x18x5. The formula for volume of a rectangular prism is length times width times height.

4 0
3 years ago
If the numbers 25, 30 ,40, 48 are in proportion, Middle terms are.....
zubka84 [21]

Step-by-step explanation:

it is 5/6 ..............

3 0
3 years ago
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