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Dmitriy789 [7]
3 years ago
14

during track practice Pedro runs a lap in 3 minutes. David runs the same lap in 4 minutes. they both pass point S at the same ti

me. when will they next pass point S together?
Mathematics
1 answer:
garri49 [273]3 years ago
8 0
Im  not sure this is right but i think they will meet during 12 minutes
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The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
MariettaO [177]
The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8

5 0
3 years ago
Look at the image HELP
Whitepunk [10]

Answer:

Option (3)

Step-by-step explanation:

In a right triangle,

Cosine rule → cos(\theta)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

Sine rule → sin(\theta)=\frac{\text{Opposite side}}{\text{Hypotenuse}}

In the given triangle,

By cosine rule,

cos(h)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(h)=\frac{z}{x}

Or cos(h°) = z ÷ x

Therefore, Option (3) will be the answer.

7 0
3 years ago
Expanding triple brackets, i will give brainliest
rewona [7]

Answer:

{x}^{3} + {x}^{2} −24x+36

Step-by-step explanation:

(x + 6)(x - 2)(x - 3)

[x(x−2)+6(x−2)](x−3)

( {x}^{2} −2x+6x−12)(x−3)

( {x}^{2} +4x−12)(x−3)

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<h3>Hope it is helpful....</h3>
4 0
2 years ago
One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda
Pani-rosa [81]
We are given an equation:
(x+10)^{2} +  (y-8)^{2} = 16

This is an equation of a circle. General form of a circle equation is:
(x-a)^{2} + (y-b)^{2} = r^{2}
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
r^{2} =16  \\ r=4
The greatest distance at which person can be detected is 4ft.
7 0
3 years ago
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Find the midpoint of the segment with the given endpoints K(-2,-4) and L(-4,6)
Ilia_Sergeevich [38]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad L(\stackrel{x_2}{-4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-4-2}{2}~~,~~\cfrac{6-4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{2}{2} \right)\implies (-3~,~1)

8 0
3 years ago
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