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3 years ago

NEED ANSWERS NOW

Mathematics

1 answer:

IrinaK [193]3 years ago

3 0

The answer is choice C

On the left side we have something in the form a*b+a*c+a*d

On the right side we have something in the form a*(b+c+d)

All together, we have a*b+a*c+a*d = a*(b+c+d), where the letters a,b,c,d are to be replaced with the proper values (0.5, 0.5, 0.3, and 0.2 in that exact order).

The idea of distribution is to multiply the outer value 0.5 by each of the values inside the parenthesis (0.5, 0.3, and 0.2) and add up the products.

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If f(x) = 4x3 - 2x and g(x) = x3 + 6x2 + 3x - 7, then find f(x)<br> + g(x)

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Answer:

5x^3+6x^2+x-7

Step-by-step explanation:

f(x) = 4x^3 - 2x and g(x) = x^3 + 6x^2 + 3x - 7,

f(x) + g(x)= 4x^3 - 2x+ x^3 + 6x^2 + 3x - 7

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Combine like terms

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Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form \[ax^2 + bx + c

Shkiper50 [21]

$ax^2+bx+c=(Ax+B)(Cx+D)$

then

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Read 2 more answers

Please help this is very important

alexandr1967 [171]

Answer:

Here's what I get.

Step-by-step explanation:

1. Rotate 180° about origin

The formula for rotation of a point (x,y) by an angle θ about the origin is

x' = xcosθ - ysinθ

y' = ycosθ + xsinθ

If θ = 180°, sinθ = 0 and cosθ = -1, and the formula becomes

x' = -x

y' = -y

The rule is then (x, y) ⟶ (-x, -y).

H: (-3, -5) ⟶ (3, 5)

J: (-5, -3) ⟶ (5, 3)

Q: (0, -1) ⟶ (0, 1)

The vertices of H'J'Q' are (3, 5), (5, 3), and (0, 1).

2. Rotation 90° counterclockwise about origin

cos90° = 0 and sin90° = 1

x' = xcos90° - ysin90° = -y

y' = ycos90° + xsin90° = x

The rule is then (x, y) ⟶ (-y, x).

B: (4, 5) ⟶ (-5, 4)

L: (5, 0) ⟶ (0, 5)

S: (2, 2) ⟶ (-2, 2)

The vertices of B'L'S' are (-5, 4), (0, 5), and (-2, 2).

3. Rotation 90° clockwise about origin

cos(-90°) = 0 and sin(-90°) = -1

x' = xcos(-90°) - ysin(-90°) = y

y' = ycos(-90°) + xsin(-90°) = -x

The rule is then (x, y) ⟶ (y, -x).

F: (1, -5) ⟶ (-5, -1)

H: (-2, -3) ⟶ (-3, 2)

U: (-4, -5) ⟶ (-5, 4)

The vertices of F'H'U' are (-5, -1), (-3, -2), and (-5, 4).

4. Rotate 180° about origin

The rule is (x, y) ⟶ (-x, -y).

J: (1, -1) ⟶ (-1, 1)

V: (2, 0) ⟶ (-2, 0)

Y: (5, -3) ⟶ (-5, 3)

R: (4, -3) ⟶ (-4, 3)

The vertices of J'V'Y'R' are (-1, 1), (-2, 0), (-5, 3), and (-4, 3).

The figures below show your shapes before and after the rotations.

7 0

3 years ago