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Lady_Fox [76]
3 years ago
11

Use the system of equations and graphs below to complete the sentences.

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer:

The correct solution graph is Graph B. The solution to the system is (-4.4, -4.7)

Step-by-step explanation:

I graphed this system on a separate graph shown below to find the solution of the system.

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Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 1/2 hours. If he works at the same pace for 7.5
RSB [31]

This can be solve by first solving the proportionality constant

Number electic outlets rewired is directly proportional to time spent

4 = (1 ½)a

Let be the proportionality constant

A = 8/3

O = (8/3)(7.5)

o = 20 outlets will jamal rewired if he works for 7.5 hrs 

6 0
3 years ago
Read 2 more answers
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
Which equation is true?
ch4aika [34]

Answer : 9x^2 - 25 = (3x - 5)(3x + 5)

(1) 9x^2 - 25 = (3x - 5)(3x - 5)

Use FOIL method to mulitply (3x – 5)(3x – 5)

(3x - 5)(3x - 5)  = 9x^2 - 30x + 25

(2) 9x^2 - 25 = (3x - 5)(3x + 5)

Use FOIL method to mulitply (3x - 5)(3x + 5)

(3x - 5)(3x - 5)  = 9x^2 - 15x + 15x - 25 = 9x^2 - 25

(3) 9x^2 - 25 = -(3x + 5)(3x + 5)

Use FOIL method to mulitply -(3x + 5)(3x + 5)

-(3x + 5)(3x + 5)  = -(9x^2 + 30x + 25) = -9x^2 -30x -25

(4) 9x^2 - 25 = -(3x + 5)(3x - 5)

Use FOIL method to mulitply -(3x + 5)(3x - 5)

-(3x + 5)(3x - 5)  = -(9x^2 - 25) = -9x^2 + 25

So equation 2 is true

6 0
3 years ago
Read 2 more answers
Which part of the graph will the directrix pass through?
OLEGan [10]

Answer:

A

Step-by-step explanation:

I just did it

8 0
2 years ago
What is 125% of 332?
bagirrra123 [75]

Answer:

W = 415

Step-by-step explanation:

Is means equals and of means multiply

W = 125% * 332

Change to decimal form

W = 1.25 *332

W = 415

7 0
2 years ago
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