Answer:
2.5
Step-by-step explanation:
4/10 = 2.5 so the bigger triangle is 2.5 times bigger than the smaller one
Answer: 67
Step-by-step explanation:
Here is the complete question:
A professor determined the relationship between the time spent studying (in hours) and performance on an exam.
Performance = 70.443 + 4.885 × (time)
Ann studied 2.6 hours for the last exam. However there was a concert in town the night before and her score was 16 points lower than expected. What was her score on this exam, rounded to the nearest integer?
Let's rewrite the formula to determine Ann's performance.
P = 70.443 + 4.885t
where t is in hours.
This is equation with P(t) means that P depends on variable t. We can then express t=2.6 in the formula to get her expected performance.
P = 70.443 + 4.885t
P = 70.443 + 4.885(2.6)
P = 70.443 + 12.701
P = 83.144
Now, since the question says that she scored 16 points less than the expected, we then need to find value of P-16
= P - 16
= 83.144 - 16
= 67.144
We can then round it to the nearest integer, this will be 67.
Answer:
6 units
Step-by-step explanation:
the horizontal difference is the distance between the x values of both points. we know the distance between 4 and -2 is 6.
Answer:
you should put 20 points if you answer the question+ brainliest. if you dont people will think its free for example. I have a question you can answer to get your points back, just say something random. Sorry I couldnt help you but thanks for the points.
Step-by-step explanation:
Answer:
(2, - 1 ) and (5, 2 )
Step-by-step explanation:
y + 2 = (x - 3)² → (1)
y + 3 = x ( subtract 3 from both sides )
y = x - 3 → (2)
Substitute y = x - 3 into (1)
x - 3 + 2 = (x - 3)² ← expand using FOIL
x - 1 = x² - 6x + 9 ( subtract x - 1 from both sides )
0 = x² - 7x + 10 ← in standard form
0 = (x - 2)(x - 5) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 5 = 0 ⇒ x = 5
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 - 3 = - 1 ⇒ (2, - 1 )
x = 5 : y = 5 - 3 = 2 ⇒ (5, 2 )
