Answer:
False (under assumption T(2,-3) means move it right 2 units and down 3 units).
Step-by-step explanation:
The statement is false.
T(2,-3) means move the point right 2 (so plus 2 on the x-coordinate) and down 3 units (so minus 3 on the y-coordinate).
So (1,6) will become (1+2,6-3)=(3,3) after the translation.
The point (1,12) will become (1+2,12-3)=(3,9).
If the statement were "Under the translation T(2,-3) the point (1,12) will become (3,9)", then it would be true.
Or!
If the statement were "Under the translation T(2,3) the point (1,6) will become (3,9)", then it would be true.
Go to this link it has all the answers http://quizlet.com/16995072/respirtory-system-flash-cards/
Answer:
Gradient of Line ⊥ to AB = m = 3
B) y = 3x+11
Step-by-step explanation:
A) <u><em>Firstly, finding the slope of AB</em></u>
Gradient =
Gradient =
Gradient =
Gradient =
Gradient =
<u><em>Now, the line has a gradient of negative reciprocal to this one which is perpendicular to AB</em></u>
So,
Gradient of Line ⊥ to AB = m = 3
B) <u><em>Equation of line ⊥ to AB:</em></u>
Gradient = m = 3
Now, Point = (x,y) = (-2,5)
So, x = -2, y = 5
<u><em>Putting this in slope-intercept form to get b</em></u>
=>
=> 5 = (3)(-2) + b
=> 5+6 = b
=> b = 11
<em><u>Now, Putting m and b in the slope intercept form to get the required equation:</u></em>
=>
=> y = 3x+11
Answer:
Step-by-step explanation:
1. b+6=
Because Abby 6 more books than Kristen. The amount of book Kristen reads is represented with b.
2.Sorry I don't get the rest.
m∠5 = 142°
Solution:
Line l and m are parallel.
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ 38° + m∠7 = 180°
⇒ m∠7 = 180° – 38°
⇒ m∠7 = 142°
∠5 and ∠7 are corresponding angles.
<em>If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.</em>
⇒ ∠5 ≅ ∠7
⇒ m∠5 = m∠7
⇒ m∠5 = 142°
Therefore m∠5 = 142°.