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3 years ago

If these numbers represent elevations in meters, which is the farthest away from sea level?

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Answer:

Option (1)

Step-by-step explanation:

Minus notation of the elevations from the sea level represents the distance below the sea level and positive notation represents the elevations above the sea level.

+7 → 7 meters above the sea level

-3 → 3 meters below the sea level

$+\frac{1}{2}$ → 0.5 meters above the sea level

-0.8 → 0.8 meters below the sea level

+0.8 → 0.8 meters above the sea level

$-\frac{1}{10}$ → 0.1 meters below the sea level

-2 → 2 meters below the sea level

Therefore, +7 meters above the sea level will be the farthest point from the sea level.

Option (1) will be the answer.

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A number is first increased by 20 and then doubled. The result is 2 less than 5 times

Iteru [2.4K]

i think maybe ? x+20*2=5-2*x

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3 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

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3 years ago

The population of Metsville is 1,274 people less than the population of Eden. If the population of Eden is 9,021 people, what is

yawa3891 [41]

Answer:

7,747

Step-by-step explanation:

9,021-1,274=7,747

4 0

3 years ago

Read 2 more answers

I need help !!! Pls help me

IrinaVladis [17]

It is answer #1.
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3 years ago

Triangle EFG has vertices E(-3,1), F(1,1), and G(4,5). Find the coordinates of the image of point of E after a translation of 3

torisob [31]

Answer:

E(-1,3) F(3,-2) G(6,2)

Step-by-step explanation:

It's just simple addition and subtraction. The x-coordinate would add 2 since it is going to the right, which is positive. The y-coordinate would subtract 3 since going down be negative.

7 0

3 years ago