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SSSSS [86.1K]
3 years ago
12

Solve this system of equations y=x-4 y=6x-10

Mathematics
2 answers:
Tcecarenko [31]3 years ago
6 0
Point form: (6/5, -14/5)

equation form: x=6/5 y= -14/5

to solve, set the equations equal to each other so it’s x-4=6x-10 which gives you x

then plug x into one of the equations so y=6/5-4 which gives you y=-14/5

hope this helps!
kompoz [17]3 years ago
5 0

Step-by-step explanation:

put 6x-10 in y=x-4

so

y = (6x-10) - 4

y = 6x-14

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Find the inverse of each relation<br><br> (-3,-7) (0,-1) (5,9) (7,13)
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8 0
3 years ago
Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
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Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5           exactly

The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0
3 years ago
At a family reunion, a family friend brings 20 pounds of ice and 30 cups. Which expression shows the greatest common factor, usi
Eddi Din [679]

The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)

Pounds of ice = 20

Number of cups = 30

The relation for the distributive property :

a × (b + c)

Expand ;

a × (b + c) = (a × b) + (a × c) = ab + ac

Finding the greatest common factor of 20 and 30 ;

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According to the distributive property

(2 × 10) + (3 × 10) = 10(2 + 3)

Therefore, the expression for the greatest common factor is 10(2 + 3)

Learn more :brainly.com/question/15263211

6 0
3 years ago
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