Evaluate the expression 4x^2 + 3y for x = 5 and = 6.
1 answer:
You might be interested in
Answer:
Time (secs) => distance (ft)
1 => ⅔
15 => 10
24 => 16
45 => 30
Step-by-step explanation:
Equation to represent this proportional relationship is , where,
t = time
d = distance
k = constant of proportionality
To complete the table, let's find k given that the turtles swarm 16 ft (d) in 24 secs (t).
Substitute d = 16, t = 24 into the equation.
(division property of equality)
Let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:
For 1 sec, let's find distance (d):
d = ⅔ ft
For 10 ft, let's find the time (t) taken:
Multiply both sides by 3
Divide both sides by 2
t = 15 secs
For 45 secs, let's find distance (d):
d = 30 ft
D. 192in^2
This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)
So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.
So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.
I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.
This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)
So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.
So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.
I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.