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postnew [5]
3 years ago
9

Point b, o, and y are collinear on by, and bo:oy = 1/3. B is located at (4,-2,) o is located at (5,-2) and Y is located at (x,y)

determine the value of y
Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

The value of the y-coordinate is -2

Step-by-step explanation:

Here in this question, we want to use the section formula to determine the y- coordinates of the line that divides the segment in the ratio 1:3 or 1/3

The formula to use to get the coordinates is;

( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

So in this case;

m = 1 n = 3

x1 = 4 , x2 = 5

y1 = -2 , y2 = -2

So substituting these values ( we will only make for the y part since we only need to get the y coordinate)

Hence;

[1(-2) + 3(-2)]/(1+3) = (-2-6)/4 = -8/4 = -2

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If b is the midpoint of ac and ac = 8x-20, find bc
KengaRu [80]

Answer:

BC=4x-10

Step-by-step explanation:

B is the Mid point of AC . hence the length of  BC will be half of AB

AC = 8x-20

Hence AB=BC = \frac{8x-20}{2}

BC=4x-10

7 0
3 years ago
PLEASE HELP NEEDS TO BE DONE TONIGHT HELP PLEASE ASAP!
Levart [38]

Answer:

<em></em>

  • <em>    Variable</em>
  • <em>    Variable expression</em>
  • <em>    Number</em>

Explanation:

A <em>literal equation</em> contains numbers, letters, and signs.

The letters represent variables, the numbers are constants, and the sign express relations, like equal (=), less than (<), and greater than (>).

You use the signs to make equations or inequalities.

Algebra is the use of mathematical rules applied to literal expressions. You can add, subtract, multiply and divide literal, expressions, like in arithmetic,  following some rules.

<em>To rewritte a literal equation in terms of a specific variable</em>, you may need to <em>divide by</em>  <em>another variable, a variable expression, or a number</em>, but never by an inequality sign.

Here you have one example for each case:

<u>1. Dividing by another variable.</u>

     x^2y^5=100\\\\\\ \dfrac{x^2y^5}{y^5}=\dfrac{100}{y^5}\\ \\ \\ x^2=\dfrac{100}{y^5}

<u>  2. Dividing by a variable expression.</u>

      x^2(z^3+y^5)=100\\\\\\ \dfrac{x^2(z^3+y^5)}{(z^3+y^5)}=\dfrac{100}{(z^3+y^5)}\\ \\ \\ x^2=\dfrac{100}{(z^3+y^5)}

<u>3. Dividing by a number:</u>

   

      200x^2=100\\\\\\ \dfrac{200x^2}{200}=\dfrac{100}{200}\\ \\ \\ x^2=\dfrac{100}{200}\\ \\ \\ x^2=0.5

As said above,  you cannot divide by an inequality sign.

8 0
3 years ago
Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a pla
sattari [20]
20 hundredths = 20/100 = 0,2
2 thousandths = 2/1000 = 0,002

20 hundreds = 20 * 100 = 2000
2 thousands = 2 * 1000 = 2000

20 hundreds is equal to 2 thousands, however 20 hundreths is not equal to 2 thousandths. 2 in the 0,2 is 100 times greater than 2 in 0,002.
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3 years ago
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luda_lava [24]

Well for a linear function you would use the formula y=mx+b

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3 years ago
You deposit $7000 into a bank account that has 6% interest compounded SEMIANNUALLY. Determine the amount of money in the bank af
Vlada [557]

Answer:

$11917.03

Step-by-step explanation:

Use Compound Interest Formula:

A = 7,000 (1 + 0.06/2)^2(9)

Simplify:

A = 7,000(1.03)^18

Solve:

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