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3 years ago

Find p and q for which the linear eqn has infinite solutions

Mathematics

1 answer:

jekas [21]3 years ago

7 0

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

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Which of the equations below represents a line parallel to the x-axis?

stiv31 [10]

Answer:

d. y=5

Step-by-step explanation:

The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.

The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.

Option b gives an equation that isn't for a linear relation entirely.

Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.

I hope this helps!

6 0

3 years ago

M + 4 = -12 and v - 15 = -27

antiseptic1488 [7]

Answer:The AR-15 came first, in 1947; the M16 a decade later. They have the same magazine capacity: 30 rounds. The former is heavier, with a shorter range and slower rate of fire, but these are subtle differences. Overall, the weapons are pretty simila

Step-by-step explanation:M4 carbine

Carbine, Caliber 5.56 mm, M4

Manufacturer See Manufacturers below

Unit cost $700 (avg. cost)m= -16

v= -12

Step-by-step explanation:

m + 4 = -12

m= -4-12

m=-16

v - 15 = -27

v=-27+15

v= -12

Produced 1991–present

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7 0

3 years ago

Read 2 more answers

Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation

pshichka [43]

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m= $\frac{30}{6}$

=>m=5

It will take 5 months for Jason to weigh the same as Gerardo

5 0

3 years ago

What's the temperature on each thermometer?

elena-14-01-66 [18.8K]

Answer:

98.6°F (37°C) the highest Six's thermometer that All I know sry

Step-by-step explanation:

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2 years ago

10. 0.75,1/2, 0.4,and 1/5 from least to greatest

Pavlova-9 [17]

Let's turn these into decimals.

so, 10.

0.75

0.50=1/2

0.40

0.20=1/5

In order from least to greatest, these would be:

0.2, 0.4, 0.5, 0.75, 10

5 0

3 years ago