Answer: The estimate is closest to the distance d is 4.2 miles
Step-by-step explanation:
In the given image, we can see that there is a right triangle, in which d is the side opposite to the right angle (largest angle in the triangle) which means its the longest side of the triangle.
[Since side opposite to the larger angle is larger]
Therefore, by Pythagoras Theorem we have

The estimate is closest to the distance d is 4.2 miles.
Answer:
10 inches
Step-by-step explanation:
False. You can find the solution more quickly by solving the system algebraically.
-4x + 2y = 18
Since y=-3x+4,
-4x + 2(-3x+4) = 18
-4x - 6x + 8 = 18
-10x = 10
x = -1
y = -3x+4 = 7
We are given that we have $25 to pay for 6 fishing lures.
We can make an equality for this as follows:
Suppose price of one fishing lure is x dollars.
So we will use unitary method to find price of 6 fishing lures.
Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x
Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.
So creating an inequality,

Now in order to find price for one fishing lure, we have to solve this for x.
Dividing both sides by 6 we have,

Converting to decimal,

Answer : The price of one fishing lure must be less than or equal to $4.167
Answer:
x=2
x=-5
Step-by-step explanation:
You need to get everything on one side to have a quadratic equation:
x^2+6x-4 -(3x+6) = x^2+3x-10
All factors of 10 are 1*10 and 2*5.
5-2 = 3 and 5*-2 = -10
Factoring x^2+3x-10 gives us (x-2)(x+5)
x=2
x=-5