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3 years ago

13

In the coordinate plane, what is the length of the line segment that connects points at (0, −1) and (−7, −2) ?

2 answers:

Mnenie [13.5K]3 years ago

7 0

Distance formula!!!!! yay i've done this umpth manytimes today for people so if you dont know distance formula is square root of (x1-x2)^2+ (y1+y2)^2.
0-(-7) -1-(-2)
7^2 + 1^2
49+1
sqr. root of 50
appx. 7.07 or the closest to it

Yuki888 [10]3 years ago

5 0

Distance = √(y2-y1)² + (x2-x1)²
d = √(-1+2)² + (0+7)²
d = √1² + 7²
d = √1+49
d = √50

In short, Your Answer would be √50 or 7.07 units

Hope this helps!

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Choose the correct simplification of the expression (3x)^4.

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

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and

$\frac{x + y}{2} = 5$

or

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

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3 years ago

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kvasek [131]

Answer:

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Step-by-step explanation:

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Hope this helps plz mark brainliest :D

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ElenaW [278]

Answer:

A) 30

Step-by-step explanation:

3*10=30

A 30

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