The answer is 4. 4*4= 16 4*5= 20
Answer:
The length of the semicircle arc is 6π
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 12
π = pi
c = π * d
we replace with the known values
c = π * 12
c = 12π
The length of the circumference is 12π
N
ow we divide the circumference by 2 and we will obtain the length of the arc of the semicircle
12π / 2 = 6π
The length of the semicircle arc is 6π
Answer:
1) B
2) D
3) B
Step-by-step explanation:
For question 1:
Assuming that option B is
, it is not a linear function.
Linear functions have equations that do not have exponents.
For question 2:
![y=-(-4)+5\\\\y=4+5\\\\\boxed{y=9}](https://tex.z-dn.net/?f=y%3D-%28-4%29%2B5%5C%5C%5C%5Cy%3D4%2B5%5C%5C%5C%5C%5Cboxed%7By%3D9%7D)
The option is D.
For question 3:
![y=x+\frac{1}{4}\\\\ y=-\frac{1}{4}+\frac{1}{4}\\\\ \boxed{y=0}](https://tex.z-dn.net/?f=y%3Dx%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%20y%3D-%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%20%5Cboxed%7By%3D0%7D)
The option is B.
Hope this helps.
Answer:
<h3>
10, 12 and 14</h3>
Step-by-step explanation:
x - an integer
2x - an even integer (the first and the smaller of the three)
Consecutive integers increase always by 2
2x+2 - next even integer consecutive to 2x (the middle one)
2x+2+2=2x+4 - the last consecutive even integer (the largest)
2•(2x+2) - twice the middle number
2x+2•(2x+2) - the sum of the smallest number and twice the middle one
2x+4+20 - 20 more than the largest number
2x+2•(2x+2) = 2x+4+20
2x + 4x + 4 = 2x + 24
-2x -2x
4x + 4 = 24
÷2 ÷2
2x + 2 = 12 ← the middle number
-2 -2
2x = 10 ← the smallest number
2x+4 = 10 + 4 = 14
Check: 10+2•12=<u>34</u>; 14+20=<u>34</u>
(12x+5)+(3x-7)
Add the coefficients 12x+3x=15x
Add the numbers 5-7=-2
The answer is 15x-2