In the first quadrant, 0-90 degrees, the angle whose cotangent is is 45 degrees. The only other quadrant where cot theta is 1 is 3rd quadrant.
The 2 angles are 45 and 180+45 = 225 degrees
Answer 45 , 225 degrees.
X 3 0 4
Y 0 4 -4
Hope it helps
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This is basically asking if each transformation is an isometry, which maps a triangle to a congruent triangle.
(x,y)⇒(-y,x) That's an isometry, not scaling x or y. I think it's a 90 degree rotation. CONGRUENT
(x,y)⇒(x-2,y-1/2) No scaling, pure translation. CONGRUENT
(x,y)⇒(2x,2y) That's a double scaling so NOT CONGRUENT
(x,y)⇒(-x,y) That's a reflection. CONGRUENT
(x,y)⇒(1/2 x, 1/2 y) Scaling again, NOT CONGRUENT
The original price is $450.
<u>Step-by-step explanation:</u>
Step 1:
Given details, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Write down formula for calculating the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Substitute given values in the formula
315 = OP - D
D = 
D = 0.3 OP
Step 4:
Substitute value of D in the first formula
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
Original Price, OP = 315/0.7 = $450
To find the equation of a line, you need to find the slope and y-intercept by using the slope formula and point slope formula.
First, let's find the slope. 11 + 5/9 - 1 = 16/8 = 2. Therefore, the slope is 2.
Then, plug it into the point slope formula.
y + 5 = 2(x - 1).
Distribute: y + 5 = 2x - 2
Subtract 5 on both sides: y = 2x - 7.
Your final equation, that you need to plug into your answer, is y = 2x - 7.
Hope this helps!! If you need further assistance, message me or comment under this post!
