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Korolek [52]
3 years ago
10

Simplify the expression

Mathematics
2 answers:
deff fn [24]3 years ago
8 0

Answer:

1) 9x + 2y + 6 + 9y + 7=9x +11y+13

2) The coefficient of y is 11.

3) The constant is 13.

Step-by-step explanation:

Given : Expression 9x + 2y + 6 + 9y + 7

To find :

1) Simplify the expression

2) What's the coefficient of y?

3) What's the constant?

Solution :

1) 9x + 2y + 6 + 9y + 7

Solve like terms together,

9x + 2y + 6 + 9y + 7=9x +11y+13

2) The coefficient is the number before any variable or multiple of any variable.

The coefficient of y is 11.

3) The constant is the number on its own.

The constant is 13.

Slav-nsk [51]3 years ago
5 0
First you need to combine like terms.

9x + 11y + 13

A coefficient is the number that comes before the variable (which is y).

The coefficient for y is 11.

Constants are the numbers that do not have variables attached to them.

The constant is 13.

Hope this helps!
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prisoha [69]

Answer:

B(x_2,y_2)= (20,12)

Step-by-step explanation:

Given

A = (0,0)

Ratio; m : n = 1 : 3

Point\ at\ 1 : 3 = (5,3)

Required

Coordinates of B

This question will be answered using line ratio formula;

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

In this case:

(x,y) = (5,3)

(x_1,y_1) = (0,0)

m : n = 1 : 3

Solving for (x_2,y_2)

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n}) becomes

(5,3) =  (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})

(5,3) =  (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})

(5,3) =  (\frac{x_2}{4},\frac{y_2}{4})

Comparing the right hand side to the left;

\frac{x_2}{4} = 5 -- (1)

\frac{y_2}{4} = 3 -- (2)

Solving (1)

x_2 = 5 * 4

x_2 = 20

Solving (2)

y_2 = 3 * 4

y_2 = 12

Hence;

B(x_2,y_2)= (20,12)

5 0
4 years ago
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