Answer:
centre = (4,-2)
radius = 3
Step-by-step explanation:
The centre-radius form of the circle equation is in the format
(x – h)² + (y – k)² = r²,
with the centre being at the point (h, k) and the radius being "r"
Given in the question an expression which can be write as
<h3> (x – 4)² + (y – (-2))² = 3²</h3>
So, by translating we can say that
centre = (4,-2)
and
radius = 3
Answer:
y = 2
Step-by-step explanation:
Both points are on the horizontal line ...
y = 2
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<em>Additional comment</em>
A horizontal line has equation y = constant. A vertical line has equation x = constant.
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
Answer: x= 5
Step-by-step explanation: If angles 1 and 2 are supplementary, that means they add up to 180. So if angle 1 is 87, angle 2 has to be 180-87=93. Then the equation would be 15x+18=93. Subtract 18 on both sides. 15x=75. Divide by 15 and your answer is 5.
