Answer:
t = 1.5 hours
Step-by-step explanation:
Given that,
A man walk for 2hr at 6 km/h.
He then cycled for a certain time at 16 km/h.
He travelled 36 km all together.
We need to find for how many hours did he cycle.
Distance walked in 2 hours = 2×6 = 12 km
Distance he cycled = 36-12 = 24 km
Let he cycled for t hours. So,

So, he cycles for 1.5 hours.
Answer:
(8, 4)
Step-by-step explanation:
<em>AD is enlarged to JM</em>
<em>AD² = 2² + 1² = 4 + 1 =5</em>
<em>AD = √5</em>
then you plug in JM
<em>JM² = 6² + 3² = 36 + 9 = 45</em>
<em>JM = √45 = 3 √5</em>
<em>so if </em>
<em>JM=3 AD</em>
then
<em>ML= 3 DC </em>
<em>then you add</em>
<em>5+3=8</em>
the coordinates for point L are (8, 4)
OOH, that's tricky--- give a shot first though!
Answer: Commutative property of multiplication
Step-by-step explanation: The problem 6 · 1 = 1 · 6 demonstrates the commutative property of multiplication.
In other words, the commutative property of multiplication says that changing the order of the factors does not change the product.
So for example here, 6 · 1 is equal to 6 and 1 · 6 also equals 6.
Since 6 = 6, we can easily see that 6 · 1 must be equal to 1 · 6.
In more general terms, the commutative property of multiplication can be written as a · b = b · a where <em>a</em> and <em>b</em> are variables that can represent any numbers.
Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)