Answer:
y = x^2 + 8x + 16
y = x + 6
x^2 + 8x + 16 = x + 6
x^2 + 7x + 10= 0
(x + 5)(x+2) = 0
x = -5
x = -2
y = (-5)^2 + 8(-5) + 16
y = 25 - 40 + 16
y = 41 - 40
y = 1
y = -5 + 6= 1
y= (-2)^2 + 8(-2) + 16
y = 4 - 16 + 16 = 4 + 0 = 4
y = -2 + 6 = 4
Point of intersection: (-2, 4)
Step-by-step explanation:
9514 1404 393
Answer:
54 = 2 × 3³
36 = 2² × 3²
Step-by-step explanation:
The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...
54 = 2 × 3³
36 = 2² × 3²
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Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.
The divisors of these numbers are ...
54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54
36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36
Answer:
-0.5°C every hour
Step-by-step explanation:as the temperature of the bottom of the mountain changed at 1/5 the rate of temperatures change on the top of the mountain, so, the hourly rate of temperature change at the bottom of the mountain is=
-2.5×(1/5)
=-0.5
