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2 years ago

What is the quotient of 43.8 and 12

Mathematics

2 answers:

Sedaia [141]2 years ago

8 0

3.6 r 6 3.6 with the remandier of 6

Maslowich2 years ago

4 0

When divided 43.8/12 you get 3.65

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2 years ago

Expand the polynomials and simplify. (2x+3y)^2

astra-53 [7]

Answer:

4x^2+12xy+9y^2

Step-by-step explanation:

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2 years ago

Point A is at (-2,4) and point C is at (4,7). Find the coordinates of point B on AC such that the ratio of a B to a C is 1:3

Diano4ka-milaya [45]

Answer:

$[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]$

$[x=\frac{4-6}{4}, y=\frac{7+12}{4}]$

$[x=\frac{-2}{4}, y=\frac{19}{4}]$

$[x=-0.5, y=4.75]$

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

Step-by-step explanation:

We have been given that point a is at (-2,4) and point c is at (4,7) .

We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.

We will use section formula to solve our given problem.

When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:

$[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]$

$\texttt{Let point} (-2,4)=(x_1,y_1) \texttt {and point} (4,7)=(x_2,y_2).$

$[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]$

$[x=\frac{4-6}{4}, y=\frac{7+12}{4}]$

$[x=\frac{-2}{4}, y=\frac{19}{4}]$

$[x=-0.5, y=4.75]$

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

5 0

2 years ago

What is the value of x in this proportion?

schepotkina [342]

Answer:

(a) -20 1/2

Step-by-step explanation:

The proportion can be solved using "cross multiply" as the first step. This eliminates the fractions and turns it into a linear equation.

2/7 = -5/(x +3) . . . . . given

2(x +3) = -35 . . . . . . multiply by 7(x +3)

2x = -41 . . . . . . . . . simplify, subtract 6

x = -20 1/2 . . . . . . divide by 2

7 0

2 years ago