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4 years ago

What is the diameter of the following circle (x+4)^2 + (y-9)^2 = 18

Mathematics

1 answer:

Elena L [17]4 years ago

3 0

Radius = sqrt(18) = 3*sqrt(2)

diameter = 2(3sqrt(2)) = 6sqrt(2)

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Show three ways to<br> quarter a circle.<br> OOO

Sidana [21]

Answer:

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Step-by-step explanation:

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3 years ago

Sin θ = 12/37. Find tan θ.

ivann1987 [24]

Answer:

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = $\frac{opposite}{hypotenuse}$

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

$12^2 + b^2 = 37^2$

b = 35

tanθ = $\frac{opposite}{adjacent}$ = 12/35

Choice B is the correct answer.

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3 years ago

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How do i show and prove a triangle congruency theorem? HELP!

My name is Ann [436]

You can do the sss, asa, etc etc thing

3 0

3 years ago

What is the equation,

Orlov [11]

The equation, in slope-intercept form, of the line that is perpendicular to the line y- 4 = -(x-6) and passes through the point (-2,-2) is y = x.

<h3 />

<h3>How to represent equation in slope intercept form?</h3>

The equation in slope intercept form is represented as follows;

y = mx + b

where

m = slope
b = y-intercept

Therefore,

perpendicular lines follows the rule as follows;

m₁m₂ = -1

Therefore,

y - 4 = -(x - 6)

y - 4 = -x + 6

y = -x + 6 + 4

y = -x + 10

Therefore,

-1m₂ = -1

m₂ = 1

Hence, the line passes through (-2, -2).

Therefore,

-2 = 1(-2) + b

b = -2 + 2

b = 0

Therefore, the equation is as follows;

y = x

learn more on equation here: brainly.com/question/18611223

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8 0

2 years ago

Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked alo

Advocard [28]

Answer:

Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Step-by-step explanation:

Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them

It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.

$speed=\frac{distance}{time}$

$3=\frac{y}{x+27}$

$y=3(x+27)$

$y=3x+81$ .... (1)

The constant speed of Dave is 4.5 feet per second.

$4.5=\frac{y}{x}$

$y=4.5x$ .... (2)

Equate equation (1) and (2).

$3x+81=4.5x$

$81=1.5x$

Divide both sides by 1.5.

$\frac{81}{1.5}=x$

$54=x$

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

6 0

4 years ago