Answer: p=0.25s
Step-by-step explanation: I am taking the test to
The only solution is x=7
Although the problem is solves correctly, always makes sure to check it by inputting it back into the equation. Putting -3 into the equation, one side turns negative and the other is positive. For this reason, it is impossible for one of the answers to be -3.
Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
Answer:
X > (whatever the symbol is) 0
Step-by-step explanation:
kinda like algebra:
x + 2 > 2
X > 0
Answer:
A (0,-3) and D(4,5)
Step-by-step explanation:
Given system of equations
y = x2 - 2x-3
y = 2x - 3
Solution to these will be value of x for which value of y in both equation will same.
In graph, solution will point at which curve of both equation intersect each other
To solve this we will equate the two equations
Thus, value of x is 0 and 4
we will put this value in given set of equation.
y = 2x- 3
taking x = 0
y = 2*0 -3 = 0-3 = -3
one solution is (0,-3)
taking x = 4
y = 2*4 - 3 = 8-3 = 5
Another solution is (4,5).
Though , the problem is solved we will see it this value satisfies other equation or not better understanding
y = x^2 - 2x-3
taking x = 0
y = 0^2 - 2*0-3 = -3
one solution (0,-3)
taking x = 4
y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5
other solution (4,5)
thus, we see both equation gives same set of solution.