a cyclist covers a distance of 12 km at a speed of 8 km per hour calculate the time taken to cover this distance
Answers
1.5 hours
To find how long it took for them to travel 12km, subtract 8 from 12. (4)
If it took them 1 hour to travel 8km and 4 is half of 8, then it would have took them 1 and a half hours to travel the 12km.
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promote free economic choices.
Answer:
D. Promote free economic choices
Step-by-step explanation:
EDG
Answers
We want to find the maximum product of
Let's solve our first equation for a.
We can substitute this in
Distribute.
Now we can just find the vertex of this quadratic, either putting it or vertex form or using a shortcut mentioned later. (if your teacher has already explained it to you)
Put the constant on the left side. (It's 0, so nothing to do there)
Factor out the coefficient of b².
Find which number to add to create a perfect square trinomial.
(half of -12 is -6, -6² = 36. we would add -72 to each side, so that 36 ends up inside the parentheses on the right side)
Factor the perfect square trinomial.
Isolate the p term.
The vertex is (6, 72), as vertex form is y=a(x-h)²+k where (h, k) is the vertex.
Therefore, the value of b which yields the height product p is 6.
We can plug this into a previous equation to find a.
a + 2b = 24
a + 2(6) = 24
a + 12 = 24
a = 12
a = 12, b = 6
(The shortcut I was talking about is that for any quadratic f(x) = ax² + bx + c, the vertex (h, k) is (-b/2a, f(h)))
Answer:
The total length of Valerie’s walls is 105.75 feet:
(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.
The total length of Seth’s walls is 107 feet:
3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.
The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.
Step-by-step explanation:
If your on PLATO this is the answer
Answers
y=-g/2 t²+25 t is the trajectoire with g=9.81 m/s²
y=-g/2 (t²-25*2/g t)
==>y=-g/2(t²-2*25/g t +25²/g²)+25²/g² * g/2
==>y=-g/2(t-25/g)²+25²/(2g)
==> h=25²/(2g)=625/(2*9.81*3.28084)=9,709479... feet
(for 1m=3.28084 feet)
Answers
Answers
Hi!
We will solve this using proportions, like this:
200 calories in 50 grams
x calories in 70 grams
_____________________
x = (200*70)/50
x = 14000/50
x = 280
He ate 280 calories.
Hope this helps!
He consumed 280 calories.
Answers
Answer: Coefficient
Step-by-step explanation:
When solving for an unknown variable that has a number preceding it, you will divide both sides of the equation by this number, which is known as the coefficient.
A coefficient is a number preceding any variable in a function for example, given the function 4x, the variable is 'x' and the number preceding it is 4. This number preceding the variable is what we call 'coefficient' of the variable 'x'