For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:
Rewriting the expression we have:
Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
It’s 4 I think sorry if I’m wrong
Answer:
- (a) 104 = 4(12+x)
- (b) x = 14
Step-by-step explanation:
(a) The new side length of Ben's garden is (12+x), since x is the amount of increase above the existing 12 ft side length.
The perimeter is the sum of the lengths of the four equal sides, so is ...
perimeter = 4 × side length
104 = 4(12+x)
(b) We can solve this by dividing by 4, then subtracting 12.
26 = 12 +x . . . . . divide the above equation by 4
14 = x . . . . . . . . . subtract 12
The solution is x = 14.
Answer:
55.38 min
Step-by-step explanation:
A car travels,
182 km ⇒ 4 hours
And we have to find the time that it takes to travel 42 km .
Lets make a equation.
Let the unknown time be x
182 km ⇒ 4 hours
42 km ⇒ x
To make easy let's km in to meters and hours in to minutes
182000 m ⇒ 240 min
42000m ⇒ x
Now use cross multiplication.
Hope this helps you.
Let me know if you have any other questions :-)
Answer:
? = (x + 7)
Step-by-step explanation:
2x^2 + 15x + 7 = (2x + 1) (?)
1. First you need to figure out what multiplied by 2x will give you 2x^2, which is x.
2. Then you need to find what would give you 15x. In this case because you have the 1 in (2x + 1), you already know that there is going to be an extra x. So, what times 2x gives you 14x? It's 7.
3. Lastly you need to make sure that 1 multiplied with 7 is equal to 7 and combine like terms.
4. Check: (2x + 1) (x + 7) =
2x^2 + 14x + 1x + 7 =
2x^2 + 15x + 7
