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:
No, a line of symmetry should cut the shape or object in half and represent a perfect mirror image.
Answer:
Franklin's population < Chester's population by 4500
Step-by-step explanation:
Franklin: 20000 (1 + 0.05) = 21000 (21000 - 20000 = 1000 grew)
Chester: 25000 + 500 = 25500 (500 increase)
Answer:
5 3/4 inches
Step-by-step explanation:
Given that :
Long jump record held = 24 ft 9 1/4 in
Arthur's best long jump record = 24 ft 3 1/2 in
How much further must ARTHUR jump to brake the record :
Long jump record - Arthur's best jump
[24 ft 9 1/4 in] - [24 ft 3 1/2 in]
24 ft - 24 ft = 0
9 1/4 in - 3 1/2 in
37 / 4 in - 7 /2 in
L. C. M of 4 and 2 = 4
(37 - 14) / 4 inches
23 /4 inches
= 5 3/4 inch
Important Info
2 out of 10 flowers are daisys
she’s making 4 arrangements
2 (daisys) x 4 (arrangements) = 8 daisys to make 4 arrangements
