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fenix001 [56]
3 years ago
8

Given the equations 4x−py=6 and 5x+7y=10, find (a) the value of p that makes the lines parallel and (b) the value of p that make

s the lines perpendicular. Show all work please :)
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Step-by-step explanation:

(a) the value of p that makes the lines parallel :

=> -4/-p = -5/7

5p = 7×(-4)

5p = -28

p = -28/5 = -5.6

(b) the value of p that makes the lines perpendicular :

=> -4/-p = -1 ÷ (-5/7)

4/p = 7/5

7p = 4×5

7p = 20

p = 20/7 = 2.86

You might be interested in
This table shows temperatures in an Arctic city during
ioda

According to the temperature changes, it is found that:

  • On Tuesday, the temperature at Noon was of -28.5 ºF.
  • On Wednesday, the temperature at Midnight was of -5.5 ºF.
  • On Thursday, the change was of -11.8 ºF.
  • On Friday, the temperature at Noon was of -4.5 ºF.

<h3>What is the temperature change?</h3>
  • The temperature change during a period is given by the <u>temperature at the end of the period subtracted by the temperature at the start of the period</u>.

On Tuesday:

  • At the start of the period, the temperature was of -17.5 ºF.
  • The change was of -11 ºF.

Hence:

-11 = T_N - T_M

-11 = T_N + 17.5

T_N = -28.5

On Tuesday, the temperature at Noon was of -28.5 ºF.

On Wednesday:

  • At the end of the period, the temperature was of 10 ºF.
  • The change was of 15.5 ºF.

Hence:

15.5 = 10 - T_M

T_M = -5.5

On Wednesday, the temperature at Midnight was of -5.5 ºF.

On Thursday:

  • At the end of the period, the temperature was of -24 ºF.
  • At the start of the period, the temperature was of -12.2 ºF.

Hence:

C = -24 - (-12.2) = -24 + 12.2 = -11.8

On Thursday, the change was of -11.8 ºF.

On Friday:

  • At the start of the period, the temperature was of -21.8 ºF.
  • The change was of 17.3 ºF.

Hence:

17.3 = T_N - T_M

17.3 = T_N + 21.8

T_M = -4.5

On Friday, the temperature at Noon was of -4.5 ºF.

You can learn more about change at brainly.com/question/24313700

8 0
3 years ago
ANSWER THIS WITHIN 10 MINUTES FOR 50 POINTS I WILL DELETE THIS AFER THEN
patriot [66]

440 cubits to feet would be 660ft. Have a good day!

7 0
3 years ago
I NEED HELP PLEASE EXPLAIN
kari74 [83]

Answer:

The function concerning the evolution of the value of the first car is exponential and the one concerrning the value of the second car is linear

Step-by-step explanation:

1st car's drop in value ( not considering the second hand type of drop):

1.4500$

2.4050$

3.3645$

2nd car's value is dropping 3000$ every year so the function is f(n)=45000-3000n, n- number of years

6 0
3 years ago
write a equation in slope-intercept form for the line that is parallel to y=2x-8 and passes through the point(1,5).
Brilliant_brown [7]

Answer:

y = 2x + 3

Step-by-step explanation:

y = 2x - 8   passes through ( 1,5 )

y = 2x + 3 is parallel to y = 2x - 8 because it has the same m( 2x)

and it also passes through ( 1, 5 )

Try Desmos, very helpful

Hope this helps

7 0
3 years ago
What is the value of h in the figure below? In this diagram, ΔNMP ~ ΔONP.
xeze [42]
The answer is d i hope this helps even though you prob wont look
<span />
3 0
3 years ago
Read 2 more answers
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