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vladimir1956 [14]
2 years ago
10

P: N: L: M: Explain what you need to find the equation for each problem.

Mathematics
1 answer:
Gala2k [10]2 years ago
6 0

Answer:

P: y=-4x

N: y=x-1

L: y=4

M: y=-2x+4

Step-by-step explanation:

p: y=-4x

because the line intercepts only x

L: y=4

because the line intercepts only y

N: y=x-1

(0,-1),(1,0)

(x1,y1),(x2,y2)

M: y=-2x+4

(0,4),(2,0)

(x1,y1),(x2,y2)

eqn of aline y2-y1/x2-x1

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Isaac takes a 216-mile trip from
daser333 [38]

Answers:

  • First Blank = 54
  • Second Blank = 162

=============================================

Explanation:

The first blank represents the distance that corresponds to t = 1 hour.

We'll replace t with 1 to get...

d = 54t

d = 54*1

d = 54

Therefore, 54 goes in the first blank. It means that Isaac traveled 54 miles after 1 hour.

------------------

We repeat these steps for t = 3

d = 54*t

d = 54*3

d = 162

This means he traveled 162 miles after 3 hours

So 162 goes in the second blank

-------------------

Side note: your teacher wrote 180 but s/he should have written 108 instead because 54*2 = 108

8 0
3 years ago
Julio has 5 more dollars than Dan. Altogether, Julio and Dan have $19. Write and solve an equation to represent the situation. H
cluponka [151]

Answer:

Dan has $7 and Julio has $12

Step-by-step explanation:

Julio = x

Dan = y

They both have a total of $19:

x + y = 19

Julio has 5 more dollars than Dan:

(Therefore Dan would need 5 more dollars to catch up to what Julio has)

y + 5 = x

We now plug in one equation into the other and get:

y + (y+5) = 19

2y+5 = 19

2y = 14

y = 7

Plug in Dan's amount into the initial equation and we get:

7+5 = x

x =12

8 0
4 years ago
Joint-Serve Prosthetics spends 43% of its total expenses for payroll. It increased its total expenses when it spent $250,000 for
Leni [432]
Answer: $2,150,000

Explanation: Let

T = Total expenses of Joint-Serve

Then, before the company acquired robotic assemblers, the expenses allocated for payroll is given by

Expenses for Payroll = 43% of Total Expenses
Expenses for Payroll = 0.43T     (1)
(Because 43% = 0.43)

Because the total expenses increased by $250,000 after spending for robotic assemblers, the total expenses = T + 250,000

So, the payroll expense is now calculated as

Expenses for Payroll = 38% of Total Expenses
Expenses for Payroll = 0.38(T + 250,000)     (2)
(Because 38% = 0.38 and total expenses = T + 250,000)

By comparing equations (1) and (2),

0.43T = 0.38(T + 250,000)
\\ 0.43T = 0.38T + 0.38(250,000)
\\ 0.43T = 0.38T + 95,000
\\ 0.43T - 0.38T = 95,000
\\  \frac{0.05T}{0.05}  =  \frac{95,000}{0.05} 
\\ \boxed{T = \$ 1,900,000}

Thus, the total expense before the purchase of robotic assemblers is T = $ 1,900,000. Therefore, the total expense after purchasing the robotic assemblers is T + 250,000 = 1,900,000 + 250,000 = $2,150,000  
6 0
3 years ago
The equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. Represents the angl
timurjin [86]

Answer:

-360

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLS ANSWER DUE
Zinaida [17]

Answer:

Option C

Step-by-step explanation:

We will analyze the figure and note down the properties given in the figure,

1). LK is a diameter so this line (chord) divides the circle into two arcs measuring 180°.

m(arc LJK) = m(arc LK) = 180°

2). m(∠JKL) = 28°

Therefore, by the property inscribed angle and intercepted arcs,

Intercepted arc (JL) = 2 × (Inscribed angle JKL)

m(arc JL) = 2(26°)

               = 52°

Now we will use these two points to get the measure of arc JK.

m(arc JK) + m(arc LK) + m(arc JL) = 360°

m(arc JK) + 180° + 52° = 360°

m(arc JK) = 360° - 232°

                = 128°

Option C will be the correct option.

4 0
3 years ago
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