The diameter of the circle is 11.8 units
<h3>How to determine the diameter of the circle?</h3>
The circle equation is given as:
(x - 2)^2 + (y + 6)^2 = 35
A circle equation is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where
Diameter = 2r
By comparing both equations, we have
r^2 = 35
Take the square root of both sides
r = 5.9
Multiply by 2
2r = 11.8
Hence, the diameter of the circle is 11.8 units
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Answer:
C red and green
Step-by-step explanation:
Slopes are the same. Red line: go 4 units down and 3 left between marked points.The same for the green one. Slope is rise/run and in this case -4/3.
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Answer:
3x^3+3x^2+5x-8
Step-by-step explanation:
Answer:
![8[\frac{1}{2}(24)(5)]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%7D%7B2%7D%2824%29%285%29%5D)
cm²
Step-by-step explanation:
Surface area of the composite figure = Surface area of the lateral surfaces of the given pyramids
Lateral surface area of a square pyramid = 4
Therefore, lateral surface area of the pyramid
= ![4[\frac{1}{2}(24)(5)]](https://tex.z-dn.net/?f=4%5B%5Cfrac%7B1%7D%7B2%7D%2824%29%285%29%5D)
Now lateral surface area of the composite figure = 2(lateral surface area of two pyramids)
=
Therefore, Expression for the surface area of the given composite figure is,
cm²
Okay, for this proof, I'll write the steps out.
Statements:
1. ABCD is a parallelogram
2. FG bisects DB
3. <GEB ≡ (pretend congruent symbol) <FED
4. DE ≡ BE
5. <CDA ≡ <ABC
6. < CDB ≡ <DBA
7. triangle DFE ≡ triangle BGE
8. FE ≡ GE
9. DB bisects FG
Reasons:
1. Given
2. Given
3. vertical angles are congruent
4. If bisected, then split into congruent parts
5. opposite angles of a parallelogram are congruent
6. Subtraction Property
7. ASA
8. CPCTC
9. segment split into congruent parts by other segment is bisected.
Hope this helped! :)
