Answer:
3x - 6
Step-by-step explanation:
Segment YB = x + 3
Segment BW = 2x - 9
Add the two segments.
x + 3 + 2x - 9
3x - 6
The diagonal YW is 3x - 6 units long.
The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.
Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
• reflection across the line x = -3
• reflection across the line y = x
Below are the choices that can be found from other sources:
A. 42
<span>B. 45 </span>
<span>C. 47 </span>
<span>D. 48 </span>
<span>E. 49
</span>
The answer is C or 47. The object’s resultant angle of motion with the +x-axis after the collision is 47. The reason for that is f<span>rom object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second, we know that tan of the angle from the x-axis is 6.2 / 5.7 = 1.09 and acrtan 1.09 = 47.4</span>
If 60% purchase a stereo and 50% purchases tinted windows, then the percentage of people who purchased both have been counted twice. So we have to subtract 35% (the % that purchased both) from the sum of the first two percentages:
60% + 50% - 35% = 75%
Therefore, the probability that a customer picked up any one or both options (which is at least 1) is 75%.
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
Condition 3: The relationship included origin: (0, 0).
