Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:
From equation 1:
Putting the value of y in equation 2
Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation
Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
Given:
To find:
Draw a graph of a line that is perpendicular to the given line and passing through a given point.
Explanation:
As we know that relation between two slopes of perpendicular slopes of lines:
Slope of given line y = 4x + 1 is:
So, the slope of line perpendicular to given line is:
Also, so line equation that is perpendicular to given line is:
Also, the required line is passing thorugh given point (2, 3), i.e.,
So, line equation that is perpendicular to given line is:
The required graph of line is:
Answer:
The last part.
Step-by-step explanation:
The error is only at the last part. Basically the answer part.
The answer should be —
We don't multiply the square roots when adding or subtracting. That'd contradict the rules.
Here, we let the square root of five as x-term.
As we add up, we would get 13x. Thrn we convert x-term back to square root of five.
The answer would be —
Remember that we don't multiply the square roots when adding or subtracting.