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shepuryov [24]
3 years ago
13

Mohan is standing at a distance of 4 units from the origin in the negative direction of the x- axis. His friend Sohan is standin

g at a distance of 7 units from the origin in the negative direction of the y- axis. Find the distance between them
Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

8.06 units

Step-by-step explanation:

To obtain the distance, find the hypotenus using Pythagoras rule :

Hypotenus² = opposite² + adjacent²

Hypotenus² = 4² + 7²

Hypotenus² = 16 + 49

Hypotenus² = 65

Hypotenus = √65

Hypotenus = 8.06

Hypotenus = distance between the two points = 8.06 units

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-<br>nun<br>THE SUM OF THREE TIMES A<br>Numbers and 11​
Vikentia [17]

Answer:

3x + 11

Step-by-step explanation:

Remember BPEMDAS.

"Three times a number" is saying multiply 3 times a variable; in this case, <em>x</em>. So we have 3x

"The sun of 3x and 11" is saying add our 3x and 11, so: 3x + 11

8 0
4 years ago
Divide 82 in the ratio 1:3<br><br> will give brainliest to whoever answers first
Hatshy [7]

Answer:

20.5 : 61.5

Step-by-step explanation:

1:3

1 + 3 = 4

82 ÷ 4 = 20.5

ratio of 1:3

1 × 20.5 = 20.5

3 × 20.5 = 61.5

20.5 : 61.5

6 0
3 years ago
Read 2 more answers
−2∣5w−7∣+9=−7<br> What is the 2 answers for this question
loris [4]
The two possible answers are w = 3 and w = -1/5

These answers can be obtained through solving to the absolute value symbols. 

<span>−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
</span><span>−2∣5w−7∣= -16 ---> divide both sides by -2
</span>∣5w−7∣= 8

Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers. 

5w - 7 = 8
5w = 15
w = 3

AND

5w - 7 = -8
5w = -1
w = -1/5
5 0
4 years ago
13x=-21-6y and -8x=36+6y
IgorLugansk [536]

Answer:

x=3\\y=-10

Step-by-step explanation:

13x=-21-6y\\-8x=36+6y

Let's take one of the equations and solve for x. I'll take the first one.

13x=-21-6y

Divide by 13.

x=\frac{-21-6y}{13}

Now replace x in the second equation.

-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y

Distribute -8

\frac{168+48y}{13}=36+6y

Break down the fraction.

\frac{168}{13}+\frac{48}{13}y=36+6y

Subtract \frac{168}{13}

\frac{48}{13}y=36+6y-\frac{168}{13}

Subtract 6y

\frac{48}{13}y-6y=36-\frac{168}{13}

Combine like terms;

\frac{48-13*6}{13}y=\frac{36*13-168}{13}

Solve;

\frac{48-78}{13}y=\frac{468-168}{13}

Keep solving;

\frac{-30}{13}y=\frac{300}{13}

Multiply by the negative reciprocal of the fraction next to y.

(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

y=-10

After having found y, replace it in any of the equations to find x.

13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3

6 0
3 years ago
Read 2 more answers
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irinina [24]
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