Answer:
(2, -4)
Step-by-step explanation:
The scale factor is the number used to multiply the pre-image coordinates.
The image of the point (4, -8) is (2, -4). Each coordinate is 1/2 the corresponding coordinate in the pre-image.
Answer:
Step-by-step explanation:
Use Pythagoras Theorem
x² + 16² = 34²
x² + 256 = 1156
x² = 1156 - 256
x² = 900
x= √3*3*10*10
x= 3*10
x = 30
Step-by-step explanation:
x^2 + 10x = -25
x^2 + 10x + 25 = 0
(x+5)^2=0
x=-5
Answer:
<h2>C. 8 + 3i</h2>
Step-by-step explanation:
(9 + 6i) - (1 + 3i) = 9 + 6i - 1 - 3i = (9 - 1) + (6i - 3i) = 8 + 3i
The sister catches up Jeff after 2 hours
Step-by-step explanation:
We can write Jeff's position and his sister position at time t using the following expressions:
- Jeff position:

where:
7 is the initial position of Jeff when his sister sarts chasing him
2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour
t is the time measured in hours
- Sister position:

where
6 is the sister velocity (her position increases by 6 miles for every hour)
t is the time measured in hours
The sister catches up Jeff when the two positions are equal, so

And solving for t,

So, the sister catches Jeff after 2 hours.
Learn more about speed:
brainly.com/question/8893949
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