The table shows the number of miles driven over time time 4,6,8,10 distance 232, 348, 464, 580

1 answer:

4 0

The distance covered per hour are as follows:
4 to 6: 348 - 232 = 116 ÷ 2 hours = 58
6 to 8: 464 - 348 = 116 ÷ 2 hours = 58
8 to 10: 580 - 464 = 116 ÷ 2 hours = 58.

We see that the vehicle covers 58 miles every hour. Therefore, the relationship between distance and time is 58 miles per hour. Written as an expression:
distance = 58miles/hour,
or
d = 58t
where d is distance in miles and t is time

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Determine the value of c that will result in a perfect square trinomial. <br> w^2+6w+ c =130+c

Genrish500 [490]

Answer:

The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

Step-by-step explanation:

We need to determine the value of c that will result in a perfect square trinomial.

$w^2+6w+ c =130+c$

Perfect square trinomial are of form: $a^2+2ab+b^2=(a+b)^2$

Now, the equation given is:

$w^2+6w+ c =130+c$

Looking at the term 6w, we can write it as 2(w)(3)

We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2

So, we will be adding (3)^2 on both sides

$w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139$