Answer:
x = 8
, y = -5
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
3 x + 2 y = 14 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 2 y = 14 | (equation 1)
x + y = 3 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 14 | (equation 1)
0 x+y/3 = -5/3 | (equation 2)
Multiply equation 2 by 3:
{3 x + 2 y = 14 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 24 | (equation 1)
0 x+y = -5 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 8 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = 8
, y = -5
191200 / 24 hours in a day = 7966.67 people per hour
60 minutes in 1 hour
7966.67 / 60 = 132.78 people per minute round to 133 people
Slope-intercept form formula: y=mx+b
our slope is undefined.
Answer: 254.5
Step-by-step explanation:
Answer:
The image of AB will be 15 cm long after dilation by a scale factor of 5.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
Rule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin
AB = length → A'B' = 5(length)
It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.
so
AB = 3 cm
Thus, the length of image A'B' will be:
A'B' = 5(3) = 15 cm
Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.
