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Sveta_85 [38]
3 years ago
11

Write an equation of the line in point slope form, that passes through the two given points

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer:

  y -15 = -3(x +2)

Step-by-step explanation:

The slope will be ...

  m = (y2 -y1)/(x2 -x1)

  m = (-18 -15)/(9 -(-2)) = -33/11 = -3

Point-slope form is ...

  y -y1 = m(x -x1) . . . . . line with slope m through point (x1, y1)

Using the first point, the equation is ...

  y -15 = -3(x +2)

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THEIR AGES
snow_tiger [21]

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

6 0
3 years ago
6.3 + |8.7 + (-6.8)|
igor_vitrenko [27]

Answer:

21.8

Step-by-step explanation:

7 0
4 years ago
4x10^2+3x10^3=<br> Please see the attached photo
Alika [10]

Answer:

<u>3.4</u>

Step-by-step explanation:

Converting all terms to multiples of 10³ :

  • 4 × 10² + 3 × 10³
  • 0.4 x 10³ + 3 x 10³
  • (0.4 + 3) × 10³
  • <u>3.4</u> × 10³
3 0
2 years ago
Question 2
drek231 [11]

Answer:

y=-3x-5

Step-by-step explanation:

6x+2y=-10

2y = -6x-10 (you need to isolate the y and so i took 6x and subtracted it from both sides)

y = -6/2x-10/2 ( dont feel like explaining)

divide them (-6/2 and -10/2) to get

y=-3x-5

Hope i helped

8 0
3 years ago
Please show the work as well 5TH GRADE MATH
Liono4ka [1.6K]

Answer:

9450 {m}^{3}

Step-by-step explanation:

<em><u>Given</u></em><em><u> </u></em><em><u>,</u></em>

Length of the tank = 27m

Width of the tank = 35m

Depth of the tank = 10m

<em><u>Therefore</u></em><em><u>, </u></em>

Volume of the tank = <em>Length</em><em> </em><em>×</em><em> </em><em>Width</em><em> </em><em>×</em><em> </em><em>Depth</em>

= 27m × 35m × 10m

= 9450 {m}^{3} (ans)

3 0
3 years ago
Read 2 more answers
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