Answer:
no solution
Step-by-step explanation:
Given points (-5,-1) and (5,9):
Let (x1,y1) = (-5,-1)
(x2,y2) = (5,9)
Use the following distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(5 — (-5))^2 + (9 — (-1))^2]
d = √[(5 + 5)^2 + (9 + 1)^2]
d = √[(10)^2 + (10)^2]
Add similar elements:
d = √[(10)^2 • 2]
The squared root of 10^2 is 10, so it goes outside the square root:
d = 10 √2
Therefore, the correct answer is Option 3:
d = 10 √2
Hope this helps :)
Answer:
B) 2(x+3)(x+3)
Step-by-step explanation:
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Explanation:
<h3>8.</h3>
An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
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<h3>9.</h3>
For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
