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SVEN [57.7K]
4 years ago
14

Two perpendicular lines intersect on the y -axis. The equation of one line is x + 4y - 24 = 0 . Determine the equation of the ot

her line.
Mathematics
2 answers:
Andrew [12]4 years ago
6 0
Rearrange the equation into standard form:
x+4y-24=0
bring y over to the other side
x-24=-4y
divide both sides by -4y=- \frac{x}{4}+6
We see that the y-intercept is (0,6) (through y=mx+b)
The formula for perpendicular lines is m_{1} × m_{2} =-1, and they must have a common coordinate (this will be (0,6), the y-intercept).
-1÷-x/4=4x, so the slope of the second line will be 4x.  The y-intercept doesn't change as the lines share a common coordinate, so the final equation of the second equation is y+4x+6
STALIN [3.7K]4 years ago
3 0
Intersecting on the y axis means x=0.
Plug x=0 in the equation to find out the y value of the intercept> 0+4y-24=0, y=6
so the both line passes the point (0,6)

two perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other is -b/a

In this case, the line x+4y-24=0, 4y=-x+24, y=-1/4 x + 6, the slope is -1/4, so the slope of the perpendicular line is 4/1.

the equation is y=4x+6
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Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every 810 kilometer he drives, he dr
Troyanec [42]

Answer:

The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

Step-by-step explanation:

Given;

distance measured by odometer in kilometer, = 810 km

distance measured by odometer in miles, = 510 miles

The  ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;

d = \frac{810 \ km}{510 \ miles} \\\\d = \frac{810 \ km \ \times \ \frac{1}{810 \ km} }{510 \ miles \ \times \frac{1}{810 \ km} } \\\\d = \frac{1 \ km}{\frac{510}{810} \ miles } \\\\d = \frac{1 \ km}{\frac{17}{27} \ miles} \\\\d = 1 \ km : \frac{17}{27} \ miles\\\\d = 1 \ km : 0.63 \ miles

Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

8 0
3 years ago
Determine both domain and range
irina1246 [14]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

8 0
4 years ago
Line CD passes through points C(3, -5) And D(6, 0). What is the equation of line CD in standard form?
Fynjy0 [20]
Y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
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3y = 5x - 30
3y - 5x = -30
5x - 3y = 30
8 0
3 years ago
Read 2 more answers
if you roll a fair six-sided die and a fair four-sided die, what is the probability that the dice add to 6 or higher?
PIT_PIT [208]
The size of the sample space is 6*4=24.
Out of this, the outcomes that add up to 6 or higher are
1+5,6
2+4,5,6
3+3,4,5,6
4+2,3,4,5,6
for a total of  14 out of  a sample space size of 24.
Therefore the probability is 14/24=7/12.

8 0
3 years ago
Simplify the equations:<br> 1.)6x+2(5x-2)<br> 2.)7x+3(8+7)
Margaret [11]

Answer:

1)  16x -4

2) 7x + 45

Step-by-step explanation:

1 ) 6x + 2(5x -2)

we are going to open the bracket

we have,

6x + 10x - 4

16x -4

4(4x - 1).................................................... simplified

number 2

7x + 3(8+7)

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7x + 45........................................................... simplified

so therefore the solution to the first and 2nd question is

1)  16x -4

2) 7x + 45

4 0
3 years ago
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