Answer:
Step-by-step explanation:
Factor using the perfect square rule.
:)
Answer:
speed is given by:
speed=distance/time
given that:
1 mile=1,760 yards
1 hour=60 min
then the speed in yards/sec will be:
distance Ashley covered is 15 miles
time=2 hours
thus;
speed=(15x1760)/(2x60)
=220 yards/ min
Step-by-step explanation:
Hi hope helps you :)
Answer:
f(x) = 4x² - 1
Step-by-step explanation:
The given function is; f(x) = x²
Now, when stretched vertically by a factor of 4, we have;
f(x) = 4x²
It's now shifted 1 unit down.. Thus, the final function will be;
f(x) = 4x² - 1
<h3>
Answer: 126</h3>
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Work Shown:
Let x and y be the two numbers.
We're given x = 162 and the variable y is unknown.
We're also given LCM = 1134 and HCF = 18
So,
LCM = (x*y)/HCF
1134 = 162*y/18
1134 = (162/18)y
1134 = 9y
9y = 1134
y = 1134/9
y = 126
The other number is 126
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Notice that
showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.
Now let,
- A = multiples of 162
- B = multiples of 126
So,
- A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...
- B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...
We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.
