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2 years ago

Find the equation (in the terms of x) of the line through the points (-2,-5) and (5,0)

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

3 0

Answer:

-5x+7y+25=0

Step-by-step explanation:

vecto AB= (7;5)

vecto n = (-5;7)

line through the points (-2;5) and (5;0) :

-5*(x+2)+7*(y+5)=0

-5x+7y+25=0

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What are the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN¯¯¯¯¯ ?

Brut [27]

(3, 4.5) and (3, 3)

The midsegment of a triangle is a line connecting the midpoints of two sides of the triangle. So a triangle has 3 midsegments. Since you want the midsegment that's parallel to LN, we need to select the midpoints of LM and MN. The midpoint of a line segment is simply the average of the coordinates of each end point of the line segment. So:

Midpoint LM:

((0+6)/2, (5+4)/2) = (6/2, 9/2) = (3, 4.5)

Midpoint MN:

((6+0)/2, (4+2)/2) = (6/2, 6/2) = (3, 3)

So the desired end points are (3, 4.5) and (3, 3)

3 0

3 years ago

Jake carries a green, a yellow, and a black guitar pic in his pocket. He randomly chooses a guitar pic from his pocket before ev

Kryger [21]

Answer:

1/3

Step-by-step explanation:

there is a total of 3 guitar picks

3 0

4 years ago

On a blueprint, the scale indicates that 8 cm represent 16 feet. What is the length of a room that is 8.8 cm long and 3 cm wide

lana [24]

For the answer to the question above asking wWhat is the length of a room that is 8.8 cm long and 3 cm wide on the blueprint if a blueprint, the scale indicates that 8 cm represent 16 feet?
The room is 22.4 feet long

8cm=16ft
9.8cm=?ft

8cm 9.8cm
______=______
16ft x ft

Cross multiply
8x=156.8
divide both sides by 8
x=19.6 ft

4 0

3 years ago

Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 8 adult smartphone use

vovikov84 [41]

Answer:

≈ 0.2526

Step-by-step explanation:

The number of combinations of 4 out of 8:

8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

Success factor is:

57% = 0.57

and failure factor is:

(100 - 57)%= 43%= 0.43

Probability:

0.57⁴*0.43⁴*70 ≈ 0.2526

6 0

3 years ago

A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$