Answer:
1200 N right
Step-by-step explanation:
Subtract 150 from 1350. Since there is more force towards the right, the net force is 1200 N right
<h3>
Answer: 2 < x < 7</h3>
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Explanation:
The 85 degree angle is smaller than the 90 degree angle (aka right angle). That must mean 5x-10 is smaller than 25
At the same time, 5x-10 must be larger than 0 to avoid having a 0 length or negative length.
So overall we can say 0 < 5x-10 < 25
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Let's isolate x
0 < 5x-10 < 25
0+10 < 5x-10+10 < 25+10 ...... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 .... dividing all sides by 5
2 < x < 7
This says that x is between 2 and 7, but we cannot have x equal either endpoint.
Answer:
C) II only
Step-by-step explanation:
Given the 2×2 matrix A = [1 1, 0 1]
The only statement true there is (II) only i.e the matrix is not diagonalizable but invertible. A matrix is invertible if the product of the matrix and its inverse is equal to an identity matrix
The rank of the matrix is not 1 but 2 because rank of a matrix is the number of non zero rows of a matrix and the number of non zero rows of this matrix is 2 thereby making I incorrect.
Also note that the sum of nullity and rank is equal to the number of columns of the given matrix
Nullity + rank = number of columns
Nullity = number of columns - rank
Nullity = 2-2 = 0
The nullity is therefore 0 not 1 making option III also false
A. The approximate y intercept appears to be about 1.8 (slightly less than 2). What this tells us is that someone with 0 months of practice could expect to win around 1.8 games.
B. Using slope intercept form and assuming that the y intercept is at (0, 1.8), the equation can be solved for by finding the slope first and then putting the slope and the y intercept into the equation.
Slope (m):
points (0, 1.8) and (1, 3.0)
(Y2-y1)/(x2-x1)=(3.0-1.8)/(1-0)=1.2/1=1.2
Equation:
Y=mx+b
Y=1.2x+1.8
Answer:
x=7
Step-by-step explanation:
4 +3x = 6x-8 +3 -12
4 +3x = 6x-17
-3x -3x
4 = 3x -17
+17 +17
21 = 3x
divide by 3 on both sides
7 = x
switch the side that x is on because teachers like that
x = 7
