Answer:
lines are perpendicular
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
Where c is the value of the x- coordinates the line passes through
x = - 1 ← is the equation of a vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
Where c is the value of the y- coordinates the line passes through
y = - 1 ← is a horizontal line
Since lines are vertical and horizontal they are perpendicular to each other.
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer:
15
Step-by-step explanation:
we need to write the equation. I came up with....
3(5 - x) = 30
so take the 3 away from the 30. I think your not supose to do the 3 because it out of the ( ). the opppisite of multiplication is division. so...
3 divided by 30 =10
rewrite
(5 - x) = 10
take the 5 away. the oppisite of subbtraction is addition.
5 + 10 = 15
check your; plug in x
3(5 - 15) = 30 This equation looks true!
Hope this helped! Please mark as brainliest! Thanks
Answer:
x/7=x+14 / 5
Solve for X
Step-by-step explanation:
x/7=x+14 / 5
Solve for X