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sergey [27]
3 years ago
10

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10

. Show that P must move on a line.​
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

I need points!!!!!!!!

Step-by-step explanation:

EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

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Which of these statements best describes the relation shown in Item 1?
Misha Larkins [42]

Answer:

It is a many-to-one relation

Step-by-step explanation:

Given

See attachment for relation

Required

What type of function is it?

The relation can be represented as:

\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right]         \left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right]

Where

x = domain and y = range

Notice that the range has an occurrence of 10 (twice)

i.e.

(x_1,y_1) = (-5,10) and (x_2,y_2) = (5,10)

In function and relations, when two different values in the domain point to the same value in the range implies that, <em>the relation is many to one.</em>

8 0
3 years ago
What is the perimeter of a rectangle with length x+4 and a width of 5x-7
AlladinOne [14]

Answer:

12x-6

Step-by-step explanation:

perimeter= 2l+2w

=2(x+4)+2(5x-7)

=2x+8+10x-14

=12x-6

8 0
3 years ago
Select ALL the expressions that are equivalent to -4(8x-3)
Vinvika [58]

Answer:

dddddStep-by-step explanation:

8 0
3 years ago
Jasmine wants to start saving to purchase an apartment. Her goal is to save $225,000. If she deposits $180,000 into an account t
Y_Kistochka [10]

The time it will take the principal to grow to the desired amount is 0.7 years

Using the compound interest formula :

A = P(1 + r/n)^(nt)

A = final amount = 225,000

P = principal = 180,000

r = rate = 3.12%

n = Number of compounding times per period = 12(monthly)

t = time

225000 = 180000(1 + (0.0312 /12))^(12t)

Divide both sides by 180000

225000/180000 = (1 + (0.0312 /12))^(12t)

1.25 = 1.026^12t

Take the log of both sides

0.0969100 = 0.0111473 × 12t

0.0969100 = 0.1337676t

Divide both sides by 0.1337676 to isolate t

0.0969100 / 0.1337676 = t

0.7244 years

0.7 years

It will take 0.7 years for the amount to grow

Learn more : brainly.com/question/21270833?referrer=searchResults

8 0
2 years ago
Read 2 more answers
What is the scale factor of triangle abc and triangle def​
Thepotemich [5.8K]

Answer:

The answer is 6

Step-by-step explanation:

ABC is 72, 66, 42 and DEF is 12, 11, 7

simply divide the largest shape measurements by the smaller one.

72÷12

66÷11

42÷7

you get 6 in all of them, this technique may not work all the time.

8 0
3 years ago
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