From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Our inequality is 3(x-1) - 4x ≥-3. We can solve this like we solve for x in a regular equation. If I multiply 3(x-1), our new inequality is 3x -3 - 4x ≥ -3. If we add 3 to both sides and subtract 4x from 3x we have -x ≥ 0. But we want the value of x to be positive, not negative. So we multiply both sides by -1 and change the sign from greater than to less than. We get x<span> ≤ </span>0.
Answer:
The answer is A
Step-by-step explanation:
when you see x and y side by side in a table, each row is one point on a graph. hope this helps!
4/6=66.67%
5/8=62.5%
Therfore 4/6 is bigger than 5/8
Answer:
(1) False
(2) False
(3). False
(4) False
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
(1). Given, 149 + 769 = 819
By calculating 149 + 769 = 918
Hence, False
(2). Given, 556 + 336 = 826
By calculating 556 + 336 = 892
Hence, False
(3). Given, 458 - 248 = 238
By calculating 458 - 248 = 210
Hence, False
(4). Given, 658 - 228 = 438
By calculating 658 - 228 = 430
Hence, False