We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
Answer:
Nicole should take 13 1/8 cups of snack mix.
Step-by-step explanation:
If a serving size is 7/8 and Nicole wants to take 15 serving sizes (15 7/8's), then we must multiply 7/8 by 15:
15 × 7/8
Write 15 over 1 (15 = 15/1) to make the calculations easier:
15/1 × 7/8
Multiply the numerators and denominators separately:
15 × 7 / 1 × 8
105 / 8
Instructions don't say you have to do this but I will convert this improper fraction into a mixed number:
105/8 = 13 1/8
Answer:
according to my observation it should be a option
Answer:
y=3/8x - 6/7
Step-by-step explanation:
slope intercept is y=mx+b where m=the slope and b=the y intercept
simply plug in the numbers given
Answer:
Step-by-step explanation:
We are given the function:
Remember that by the definition of absolute value:
Our absolute value is:
First, we will find when it becomes 0. Set the equation equal to 0:
Solve for <em>x: </em>
<em />
<em />
<em />
So, we can see that for all values greater than <em>x </em>= 5/2, 2x - 5 is positive.
For all values less than <em>x </em>= 5/2, 2x - 5 is negative.
Therefore (the positive case go above, and the negative case go below):
Finally, we can add a three:
Simplify if desired:
