Answer:
1. (a-c)
+ b![\sqrt{y}](https://tex.z-dn.net/?f=%5Csqrt%7By%7D)
2. 9m + 2![\sqrt{n}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D)
3. 6a
4. (5a - 3b)![\sqrt{5y}](https://tex.z-dn.net/?f=%5Csqrt%7B5y%7D)
Step-by-step explanation:
1. since a and c share the same squareroot x, you can combine these together.
2. First add like terms together. 4m - m + 6m = 9m. Then 5
and -3
combined equals 2![\sqrt{n}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D)
3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a
4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:
5a
- 3b![\sqrt{5y}](https://tex.z-dn.net/?f=%5Csqrt%7B5y%7D)
We can combine the two like terms and get the final answer above.
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The answer would be
Fraction 3/10
Percent 30%
Decimal 0.3
There is 10 parts and it ask for probability of 3 numbers which would be 3/10
Answer:
Part 1) The measure of arc EHL is ![108\°](https://tex.z-dn.net/?f=108%5C%C2%B0)
Part 2) The measure of angle LVE is ![54\°](https://tex.z-dn.net/?f=54%5C%C2%B0)
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
![m](https://tex.z-dn.net/?f=m%3CEYL%3D%5Cfrac%7B1%7D%7B2%7D%28y-x%29)
we have
![m](https://tex.z-dn.net/?f=m%3CEYL%3D72%5C%C2%B0)
substitute
![72\°=\frac{1}{2}(y-x)](https://tex.z-dn.net/?f=72%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%28y-x%29)
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
![x+(144\°+x)=360\°](https://tex.z-dn.net/?f=x%2B%28144%5C%C2%B0%2Bx%29%3D360%5C%C2%B0)
![2x=360\°-144\°](https://tex.z-dn.net/?f=2x%3D360%5C%C2%B0-144%5C%C2%B0)
![x=216\°/2=108\°](https://tex.z-dn.net/?f=x%3D216%5C%C2%B0%2F2%3D108%5C%C2%B0)
Find the value of y
![y=144\°+x](https://tex.z-dn.net/?f=y%3D144%5C%C2%B0%2Bx)
![y=144\°+108\°=252\°](https://tex.z-dn.net/?f=y%3D144%5C%C2%B0%2B108%5C%C2%B0%3D252%5C%C2%B0)
therefore
The measure of arc EHL is ![108\°](https://tex.z-dn.net/?f=108%5C%C2%B0)
The measure of arc EVL is ![252\°](https://tex.z-dn.net/?f=252%5C%C2%B0)
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
![m](https://tex.z-dn.net/?f=m%3CLVE%3D%5Cfrac%7B1%7D%7B2%7D%28x%29)
we have
![x=108\°](https://tex.z-dn.net/?f=x%3D108%5C%C2%B0)
substitute
![m](https://tex.z-dn.net/?f=m%3CLVE%3D%5Cfrac%7B1%7D%7B2%7D%28108%5C%C2%B0%29%3D54%5C%C2%B0)
Answer:
Center at (4, 7) and radius is √49, or 7
Step-by-step explanation:
Didn't you mean (x-4)² + (y-7) ² = 49?
Comparing (x-4)² + (y-7) ² = 49
to (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k) => (4, 7) and that the radius is √49, or 7.
The domain is the set of allowed inputs, in this case t values. The smallest t value allowed is t = 0. The largest is t = 165. So that's why the domain is
![0 \le t \le 165](https://tex.z-dn.net/?f=0%20%5Cle%20t%20%5Cle%20165)
-------------------------------
The range is
![0 \le H \le 40000](https://tex.z-dn.net/?f=0%20%5Cle%20H%20%5Cle%2040000)
since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.