The answer is A) The original height of the plant was 4 mm
The domain of the function is the complete set of possible values of the independent variable. (−∞,∞),{x|x ∈ R}
<h3>What is the domain function?</h3>
The domain is the set of values for which the given function is defined.
The given function;
f(x) = 2x + 5
The domain of the given function is all real numbers except where the function is undefined.
In this case, there is no real number that makes the function undefined.
The domain of the function is the complete set of possible values of the independent variable.
(−∞,∞),{x|x ∈ R}
The range is the set of all valid y values.
Learn more about appropriate domain here:
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1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP
If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8
2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2
Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4
FC= 2/(1+2) * AC
FC= 2/3 * 12= 8
3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2
DC=3x+12= 3(-2) +12= 6
4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3
C
BC lines slope would be (-1)-(-1)/4 = 0/4.
The line would be
0=x+a
a=-1
0=x-1
x=1
y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1
y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)
5.
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
Answer:
n ≥ 1/5
Step-by-step explanation:
Let the number be n. Then 5n + 2 ≥ 3.
If you want to solve this for n, then subtract 2 from both sides, obtaining:
5n ≥ 1. Isolate n by dividing both sides by 5. Then we have n ≥ 1/5
Answer: 21points
Step-by-step explanation: 3 times 7 equals 21
