Answer:
29.7
Step-by-step explanation:
The remaining distance is the total distance less the distance driven so far:
... 236.5 -69.4 -67.9 -69.5 = 29.7
Help!!!!!!!!!!!!! please!!!!!!!!!!!!!!
1 answer:
Answer:
-1 ≤ m ≤ 9
Step-by-step explanation:
See attached image.
What you have to note about solving inequality equations like this:
- When you divide by a minus, you flip the sign in the inequality.
- When there's an absolute value symbol, because whatever is inside could be positive or negative, you have to find values for each case like I've done.
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Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
<u>Given</u>:
The given inequality is
We need to determine the solution of the inequality in interval notation.
<u>Solution of the inequality:</u>
The solution of the inequality can be determined by simplifying the inequality.
Thus, we have,
Subtracting both sides by 3, we get;
Subtracting both sides by 2u, we have;
Dividing both sides by 4, we get;
Writing it in interval notation, we get;
Thus, the solution of the inequality is
Answer: OPTION B.
Step-by-step explanation:
Given the equation you can find an equivalent equation by simplifying it.
You need to remember the multiplication of signs:
Now you can apply the Distributive property:
Simplifying the equation, you get:
You can observe that this equivalent equation matches with the equation provided in option B.