X+8
The equation of that line from from picture is -x+4
2/2=1 with y intercept on 4
Since if is perpendicular we can assume that the equation should be positive. Eliminate the negative answers.
Negative reciprocal= x+1/4
Answer:
The answer is 5.5.
Step-by-step explanation:
Because 4 + 1.5 is 5.5, so 5.5 is the exchange rate between Gamma and Alpha coins.
Answer:
Large boxes are 18.25 kg
Small boxes are 15.25 kg
Step-by-step explanation:
This is a system of equations. You need to set up each equation first.
I am assigning x to be big boxes and y to be small boxes.
5x + 3y = 137
2x + 6y = 128
To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.
-2 ( 5x + 3y = 137)
2x + 6y = 128
Distribute the -2 to everything in the parentheses in the first equation.
-10x - 6y = -274
2x + 6y = 128
Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:
-8x = -146
Solve for x by dividing by -8.
x = 18.25
Now plug that into one of the original equations.
2(18.25) + 6y = 128.
36.5 + 6y = 128 Subtract 36.5 from each side
-36.5 -36.5
6y = 91.5 Divide by 6 to solve
y = 15.25
Answer:
Step-by-step explanation:
The minimum temperature is 700 deg C, so x, the temperature must be greater than or equal to 700.
which can also be written as
The maximum temperature is 1200 deg C, so x, the temperature must be less than or equal to 1200.
Put together the last two inequalities in a compound inequality to get
Now we need to change it into an absolute value inequality.
The average of the two temperatures is (700 + 900)/2 = 950. The difference between the two temperatures is 1200 - 700 = 500. Half of the difference is 250. The temperature, x, will vary from 250 less than 950 to 250 more than 250.
The absolute value equation is: