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vredina [299]
3 years ago
15

Find the product. (x2 + 3x - 2)(x + 3) A. x3 + 6x2 + 7x - 6 B. x2 + 4x + 1 C. x3 + 3x2 + 1 D. x3 + 6x2 + 11x + 6

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

Step-by-step explanation:

x^3 + 3x^2 - 2x + 3x^2 + 9x - 6

x^3 + 6x^2 + 7x - 6

the solution is A

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X + 1 / 8 y = 2 0 x + 1 / 4 y = 4
UkoKoshka [18]

Answer:

Is that the question

Step-by-step explanation:

No seresly is that the question

4 0
3 years ago
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On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of paralle
Ad libitum [116K]

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of \overline {TU} = The length of \overline {SR} = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line \overline {VT}

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of \overline {SR} = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of \overline {SR} and \overline {VT}

The equation of the line \overline {SR} in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line \overline {VT} = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

6 0
3 years ago
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What is every type of triangle possible (ex Right angle Triangle)
vovikov84 [41]

Triangles are rectangular, acute-angled, obtuse-angled, isosceles, equilateral, versatile.

6 0
3 years ago
Apply the distributive property to factor out the greatest common factor of all three terms 14x+21y+7z=
Elenna [48]

Answer:

7(2x+3y+z)

Step-by-step explanation:

14x+21y+7z

Factor out 7

7*2x+ 7*3y+7*z

7(2x+3y+z)

8 0
3 years ago
114 students choose to attend one of three after school activities: football, tennis or running. There are 53 boys. 53 students
Masja [62]

Answer:

  1/3

Step-by-step explanation:

The attachment shows a table with the given information filled in. Since we know 53 chose football and 23 chose tennis, the remaining 38 must have chosen running.

Then 38 out of 114 students chose running. The probability that one of those is picked at random is ...

  p(running) = 38/114 = 1/3

5 0
2 years ago
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