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Veseljchak [2.6K]
3 years ago
9

What are 2 points on the graph for 6x-5y=25

Mathematics
1 answer:
zepelin [54]3 years ago
8 0
To find any two random point on the graph of 6x-5y=25, we can just plug in any two values for x and solve for y, and find the 2 points in the form of (x,y).

So lets plug in x=0.

\sf 6x-5y=25
\sf 6(0)-5y=25
\sf -5y=25
\sf y=-5
So one point is (0,-5)

And to find another point, we can plug in x=1

\sf 6x-5y=25
\sf 6(1)-5y=25
\sf 6-5y=25
\sf -5y=25-6
\sf -5y=19
\sf y=19/-5
\sf y=-3.8
So another point is (1,-3.8)
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You and a friend start riding bikes toward
Setler [38]

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

My speed

\dfrac{2\dfrac{1}{6}}{\dfrac{1}{4}}=\dfrac{\dfrac{13}{6}}{\dfrac{1}{4}}=\dfrac{26}{3}\ \text{mph}

Speed of my friend

7\dfrac{1}{3}=\dfrac{22}{3}\ \text{mph}

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let t be the time taken to meet

\text{Distance}=\text{Speed}\times\text{Time}

\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}

So, we meet each other after 1.5 hours.

Distance traveled by me

\dfrac{26}{3}\times 1.5=13\ \text{miles}

Distance traveled by my friend

\dfrac{22}{3}\times 1.5=11\ \text{miles}

So, I traveled farther by 13-11=2\ \text{miles}.

7 0
3 years ago
What is the volume of the triangular prism with a bottom side of 8, the height of the triangle is 7, and the height of the prism
liq [111]

Answer:

392

Step-by-step explanation:

7x4=28

28x14=392

8 0
3 years ago
3. List the coefficients in the expression below. 14x - 7x + 1-2x​
elena-14-01-66 [18.8K]

Answer:

14, -7, -2

Step-by-step explanation:

<u>The coefficient is the number that multiplies the variable, so list the numbers that fall under that definition:</u>

14x - 7x + 1 - 2x

↑      ↑          ↑

14    -7         -2

<u>The coefficients in the expression are </u><u>14, -7, and -2.</u>

7 0
2 years ago
A piece of land is 20cm by 5cm. A portion of the land by size 10cm by 2cm was used to cultivate tomatoes. what is the area of th
Sergio039 [100]

Answer:

80cm^2

Step-by-step explanation:

20*5=100

10*2=20

100-20=80

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3 years ago
Which list of numbers is ordered from from greatest to least?
kupik [55]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
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