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VladimirAG [237]
2 years ago
12

Find the x and y intercepts fir the linear equation -3x+4y=24

Mathematics
1 answer:
Archy [21]2 years ago
4 0

Answer:

(8,0)   (0,6)

Step-by-step explanation:

set y =0                         set x=0

-3x+4(0)=24                    -3(0)+4y=24

-3x+0=24                      0+4y=24

-3x=24                                 4y=24                

-3x=24                                 y=24/4

x=24/-3                                y=6

x=8

Hopefully I didnt make a mistake .

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How do i find the shorted distance between the point and the line
m_a_m_a [10]

Answer:

5 units

Step-by-step explanation:

3x + 4y = 8

4y = -3x+8

y = -3/4+2

The shortest distance between a point and a line is the perpendicular line.

Slope of the perpendicular line: 4/3 and point (-3,-2)

b = -2-(4/3)(-3) = 2

Equation of the perpendicular line: y=4/3x+2

y is equal y

4/3x+2= -3/4x+2

4/3x +3/4x = 2-2

x = 0

Plug x=0 into one of the equations to find y

y = 4/3(0) + 2

y = 2

(0,2) and (-3,-2)

Distance = sqrt [(-3-0)^2 + (-2-2)^2]

Sqrt (-3)^2+ (-4)^2

Sqrt 25 = 5

3 0
3 years ago
suppose there are three consecutive intergers.if two times the first is added to twice the middle, the results is 69 minus the l
belka [17]
3 consecutive means
x, x+1, x+2
OR
x, x-1, x-2

the equation based on givens and first equation is:

2(x) + 2(x+1) = 69 - (x+2)
4x + 2 = 67 - x
5x = 65
x = 13

so the largest would be x+2 or 15
3 0
4 years ago
Solve using perfect square factoring patterns. y2 + 14y + 49 = 0
Studentka2010 [4]
(y + 7)(y + 7)

49 is a perfect square of 7

it can also be written

(y + 7)²

hope this helps :)


7 0
3 years ago
What is the way to solve this cuz I don’t know how to do divide
WINSTONCH [101]

Answer:

ur answer is 9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An elevator goes up 7 floors and then down 4 floors .what integet represent the change in the floor level
nexus9112 [7]

Answer:

it's 3

Step-by-step explanation:

it went up 7 floors and went down 4 floors, if you subtracted those it will be 3.

4 0
3 years ago
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