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levacccp [35]
2 years ago
6

What is the solution to the equation 14 ^ (x + 3) = 21?

Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0
The answer to your question is b
sukhopar [10]2 years ago
5 0
\bf 14^{x+3}=21\implies log(14^{x+3})=log(21)\implies (x+3)log(14)=log(21)
\\\\\\
x+3=\cfrac{log(21)}{log(14)}\implies x=\cfrac{log(21)}{log(14)}-3

and surely you'd know what that is.
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Answer:

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7 0
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Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Co
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Answer:

cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

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8 0
2 years ago
Circle 1: center (8, 5) and radius 6
PolarNik [594]
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>

6 0
3 years ago
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