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Lemur [1.5K]
3 years ago
12

What is the equation of the line that passes through

Mathematics
1 answer:
irinina [24]3 years ago
7 0
Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?
You might be interested in
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)​
Darya [45]

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

5 0
2 years ago
Solve the equations PLEASEE<br><br> -1=3x-2<br><br> -3x=9<br><br> -10=-5x
Ilia_Sergeevich [38]

Answers are in bold:

-1=3x-2

add 2 to both sides

-1+2=3x-2+2

1=3x

divide both sides by 3

1÷3=3x÷3

1/3=x

-3x=9

divide both sides by -3

-3x÷-3=9÷-3

x=-3

-10=-5x

divide both sides by -5

-10÷-5=-5x÷-5

2=x

I hope this is good enough:

6 0
3 years ago
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for π.) Diameter is 10cm
AlladinOne [14]

Answer:


Step-by-step explanationtake the diameter, 10cm and multiply by pi (3.14) and the answer is 31.4

5 0
3 years ago
Jessi sold half her comic books. Then, she bought 9 more. She now has 11 total. How many did she begin with?
Alex Ar [27]

Answer:X+9=11

9-9|11-9

X=2

Step-by-step explanation:When the beginning number is unknown we use “x” to be a place holder. If she got 9 more books we would add 9 to the equation. Finally if 11 is the total, the end of the equation would equal 11.

6 0
3 years ago
How do you write 8.4 in scientific notations
dezoksy [38]

Answer:

To write as a scientific notation in this problem, just make something 0.0 x 10n

In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.

It's three!

Move the decimal point left  to 3 places to make 5.78. Then, n is the number of decimal places you moved:3

Same goes to the case 0.034. You need to make something 0.0 x 10n

Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!

But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).

Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.

Step-by-step explanation:

Hope this helps you.

:)

5 0
2 years ago
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