We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
<span>
the answer part A) is
</span>
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)</span>
Answer:
144 un^2
Step-by-step explanation:
Base: 4 × 11 = 44
Left-most face: 3 × 11 = 33
Top face: 5 × 11 = 55
Triangular faces: 3 × 4 = 12
Add: 44 + 33 + 55 + 12 = 144
Answer:
Step-by-step explanation:
Step-by-step explanation:
![=> 2 {x}^{2} + \frac{7}{2}x + \frac{3}{4} = 0](https://tex.z-dn.net/?f=%20%3D%3E%20%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7B7%7D%7B2%7Dx%20%2B%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%3D%200)
![=> \frac{8 {x}^{2} + 14x + 3}{4} = 0](https://tex.z-dn.net/?f=%20%3D%3E%20%5Cfrac%7B8%20%7Bx%7D%5E%7B2%7D%20%20%2B%2014x%20%2B%203%7D%7B4%7D%20%3D%200%20)
![=> 8 {x}^{2} + 14x + 3 = 0](https://tex.z-dn.net/?f=%20%3D%3E%208%20%7Bx%7D%5E%7B2%7D%20%20%2B%2014x%20%2B%203%20%3D%200)
![=> 8 {x}^{2} + 12x + 2x + 3 = 0](https://tex.z-dn.net/?f=%20%3D%3E%208%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%202x%20%2B%203%20%3D%200)
![=> 4x(2x + 3) + 1(2x + 3) = 0](https://tex.z-dn.net/?f=%20%3D%3E%204x%282x%20%2B%203%29%20%2B%201%282x%20%2B%203%29%20%3D%200)
![= > (2x + 3)(4x + 1) = 0](https://tex.z-dn.net/?f=%20%3D%20%3E%20%282x%20%2B%203%29%284x%20%2B%201%29%20%3D%200)
![= > x = - \frac{3}{2} or \frac{ - 1}{4}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20or%20%5Cfrac%7B%20-%201%7D%7B4%7D%20)
option C