The polynomial is 3x^2 + 10x + 3 and the two factors are (3x+1) and (x+3), because
(3x+1)(x+3) = 3x^2 +9x + x +3 = 3x^2 + 10x +3
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
Answer:
Check below
Step-by-step explanation:
There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.
1) Toyota: translation, and Dilation.
Two ellipses translated within a larger ellipse.
2) 2 Reflections, or 4 rotations of the pre-image
We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.
3) CBS: Dilation of the circumference, inside a rhombus.
4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.
e) Reflection
f) Translation
Answer:
x must be 0
Step-by-step explanation:
because if there is any point that is on the y axis that would mean that it would be dirrectly on the line and that would be the equivslent of x = 0
