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1 year ago

(2x-1+7x²)+(3+7x -3x²)

Mathematics

1 answer:

ANTONII [103]1 year ago

5 0

Answer:

4 $x^{2}$ +9x+2

Step-by-step explanation:

You combine the $x^{2}$ terms, the x terms and the constants (the terms without variable/letters)

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What is the simplified form of x+3/x^2-x-12 times x-4/x^2-8x+16?

Alenkinab [10]

<span> $\frac{x+3}{x^2-x-12} * \frac{x-4}{x^2-8x+16} \\= \frac{x+3}{(x-4)(x+3)}* \frac{x-4}{(x-4)(x-4)} = \frac{1}{x-4}* \frac{1}{x-4} = \frac{1}{(x-4)^2}$ * </span><span>x-4/x^2-8x+16

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2 years ago

The graphs below have the same shape. What is the equation of the blue

frutty [35]

Using a graph tool
see the attache figure

the answer is the option B
g(x)=(x-5)²

4 0

2 years ago

Read 2 more answers

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 distance to the earth’s horizon from point P?

Klio2033 [76]

The distance to the earth’s horizon from point P is 281.6 miles

<h3>How to determine the distance to the earth’s horizon from point P?</h3>

The tangent line from P meets the radius of the earth at a right angle.

This means that the triangle is a right triangle.

The length of x is then calculated as:

(3959 + 10)^2= 3959^2 + x^2

Rewrite as:

x^2 = (3959 + 10)^2- 3959^2

Evaluate

x^2 = 79280

Take the square root of both sides

x = 281.6

Hence, the distance to the earth’s horizon from point P is 281.6 miles