Answer: 3/4 feet
Step-by-step explanation:Conversion a mixed number 3 5/
12
to a improper fraction: 3 5/12 = 3 5/
12
= 3 · 12 + 5/
12
= 36 + 5/
12
= 41/
12
To find new numerator:
a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/
12
= 36/
12
b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41
c) Write a previous answer (new numerator 41) over the denominator 12.
Three and five twelfths is forty-one twelfths
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 41/
12
- 8/
3
= 41/
12
- 8 · 4/
3 · 4
= 41/
12
- 32/
12
= 41 - 32/
12
= 9/
12
= 3 · 3/
3 · 4
= 3/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 3 = 36. In the next intermediate step , cancel by a common factor of 3 gives 3/
4
.
Answer:
<em>The point lies barely outside of the circle</em>
Step-by-step explanation:
<u>Equation of a Circle</u>
Given its center (h,k) and radius r, the equation of a circle is given by
The circle given in the question is centered at (7,8) and has a radius of 6, thus its equation is
To find out if a point (a,b) is outside or inside the circle area, the following conditions apply.
if 
then the point lies outside of the circle area
if 
then the point lies inside of the circle area
Let's use the point as given (6,2)
Thus the point lies barely outside of the circle
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
Évaluate/Combine like terms.
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
<u>Alternative</u>
<u>Answer</u>
- (f+g)(x) = 2x²-2x-2
- (f+g)(x) = 2(x²-x-1)
Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
First you subtract 8x to both sides so you get
2y=-8x+ 70
then you divide 2 with everything to get y by itself
-4x+35=y
Answer:
Step-by-step explanation:
