Answer:

Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:
, or equivalently,
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is
.
To test whether this is correct, we can take first slope,
, and multiply it with the negative reciprocal slope
:


Therefore, we came up with the correct slope for the other line, which is
.
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

<span>Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?
A. There were 28 girls and 12 boys playing soccer.
28 : x% = 40 (the total number of children) : 100%
40x = 28 * 100
40x = 2800
x = 2800 / 40
x = 70%
There were 70% of girls in the class.
70 / 100 = 0.7
7/ 10 = 0.7
This is why A is the correct answer.
</span>
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
see below
Step-by-step explanation:
Answer:

Step-by-step explanation: