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BartSMP [9]
1 year ago
12

??? answer + explanation is 11 points

Mathematics
2 answers:
choli [55]1 year ago
6 0

Answer: A

Step-by-step explanation: sorry i dont liek doing explmations

Tanya [424]1 year ago
5 0

Answer:

c

Step-by-step explanation:

80/10=8. so answer is c

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Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt
Leni [432]
Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = \sqrt{Δx^2+Δy^2}
d₁ = \sqrt{(-2-1)^2+(1-4)^2}
d₂ = \sqrt{(x-1)^2+(y-4)^2}
d₁ = d₂
∴ \sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2} ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
 (x-1)²+(y-4)² = 18
from equatoin (1)  y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = \pm \sqrt{9} = \pm 3
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1)  or  (-2,7)












8 0
3 years ago
What are the solutions to the system of equations graphed below?
Lelu [443]

Answer:

D

Step-by-step explanation:

The solution to a system of equations given graphically is at the points of intersection of the 2 graphs.

These occur at (4, 8 ) and (0, - 8 ) → D

4 0
3 years ago
NOW I HAVE MORE, PLZ HELP. IK EVERYONE SAYS THIS BUT PLZZZZZZZ
Kruka [31]
Try to focus the camera man
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2 years ago
On any given day, the number of users, u, that access a certain website can be represented by the inequality |125-u|<30
timofeeve [1]

Answer:

Step-by-step explanation:

it means that

125-30 < u < 125+30 so

95 < u < 155

it gives ]95,155[

7 0
3 years ago
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If the points B , C and D all lie on the line segment AE then AE = AB + CD + DE

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