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lutik1710 [3]
2 years ago
14

Line M passes through the points (5,1) and (8,6) while line n passes through the point (-4,3) and (-1,8) . Which statement accur

ately describes the relationship between the two lines ?
Mathematics
2 answers:
kirill [66]2 years ago
4 0
M=(6-1)/(8-5)=5/3

y=5x/3+b, using (5,1)

1=25/3+b

b=-22/3

y=(5x-22)/3

...

m=(8-3)/(-1--4)=5/3...

y=5x/3+b, using (-1,8)

8=-5/3+b

b=29/3

y=(5x+29)/3

Since they have the same slope and difference y-intercepts they are parallel lines and will never intersect.
Aleksandr [31]2 years ago
4 0

Answer:

They have the same slope so they are parallel lines

Step-by-step explanation:

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Solve for y in the following system of equations: −x+y=0 −2x+y=−5 1. 5 2. 7 3. 6 4. 5
lord [1]

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

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

0x -y = -5

-y =-5

Multiply by -1

y = 5

8 0
3 years ago
Michaela is planning a pizza party for 48 people. she has $200 to buy pizza and soda for the party. Each 12-pack of soda can cos
Dominik [7]
The answer to this question would be: D. <span>200>6P(8.00)+4S(5.00)
</span>

Michaela is planning a pizza party for 48 people and she uses 12-pack of soda and <span>8-slice pizza. That means the pack of soda she needs would be:
48 people/ (12soda/pack)= 4 pack

Then, number the pizza she needs:
48 people/ 8 (slice/pizza)=  6 pizza

She has $200 so the price she can afford should be lower than that. The function would be:
the money she has > number of pizza(price of pizza) + number of soda(price of soda)
</span>200>6P(8.00)+4S(5.00)
7 0
3 years ago
Read 2 more answers
If you have a spinner with 5 slots, what is the compound probability of spinning an even number, then an odd number? Expressed a
Minchanka [31]

Since the spinner has 5 slots it contains 3 odd and 2 evens,

  • Odds ⇒ 1, 3, 5
  • Evens⇒ 2,4

this can be expressed as

\frac{2}{5} =\frac{x}{100}, cross multiply and we get

5x=200

x=40%

6 0
2 years ago
Read 2 more answers
The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
NEED ANSWER ASAPPPPPP​
Oksana_A [137]
The volume is 1017.88
If you search up “how to solve a cone” you can get the same answer
6 0
2 years ago
Read 2 more answers
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