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nataly862011 [7]
3 years ago
5

Write the equation of the line that passes through the points (−8,4) and (−3,7). Put your answer in fully reduced point-slope fo

rm, unless it is a vertical or horizontal line.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

y =  \frac{3}{5} x + 8 \frac{4}{5}

Step-by-step explanation:

<u>Point slope form</u>

y=mx +c, where m is the gradient and c is the y-intercept.

To find the gradient, use the formula below:

gradient =  \frac{y1 - y2}{x1 - x2}

m =  \frac{7 - 4}{ - 3 - ( - 8)}  \\ m =  \frac{3}{ - 3 + 8}  \\ m =  \frac{3}{5}

Substitute the value of m into the equation

y =  \frac{3}{5} x + c

To find c, substitute a coordinate into the equation.

When x= -3, y=7,

7 =  \frac{3}{5}( - 3) + c \\ 7 =  -  \frac{9}{5}  + c \\ c = 7 +  \frac{9}{5}  \\ c = 8 \frac{4}{5}

Thus, the equation of the line is y =  \frac{3}{5} x + 8 \frac{4}{5)

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Answer:

2600mg

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0.13*20=2.6g

2.6g=2600mg

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3 years ago
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
The system of equations is solved using the linear combination method.
Alborosie

The interpretation of 0 = -12 is (a) There are no solutions to the system because the equations represent parallel lines.

<h3>How to interpret the result?</h3>

The result is given as:

0 = -12

By comparison 0 and -12 do not have the same value

i.e. 0 ≠ - 12

This means that the system of equation has no solution

Hence, the interpretation of 0 = -12 is (a)

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

4 0
1 year ago
What is the sign of -201 + 189−201+189minus, 201, plus, 189?
svlad2 [7]
-201+189=-12-201=-213+189=-24 . S the sign would be negative(-).
8 0
3 years ago
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