Answer:
The answer is 20ft
Step-by-step explanation:
Since they both cast shadows at the same time, the ratios of their height to their respective shadow length will be the same.
Hence; we'll equate both ratios to find the length.
House= 12/9
Flag pole= h/15
Equating both:
12/9 = h/15
h x 9 = 12 x 15
h = 180/9
h = 20ft
Answer:
(2x - 3)/(x-2)
Step-by-step explanation:
divide the given equations :
(2x^2 +x -6) / (x^2 -4)
but first do some rearrangements
x^2 - 4 = (x - 2) × (x + 2)
and
(2x^2 + x - 6) = (2x -3) × (x + 2)
when you write the whole equation as a fraction
(x+2) will be eliminated from both sides and only (2x - 3)/(x - 2) will be left
we can't do further calculations so it's the simplest way to write it
Answer:
the answer i believe is 3
The product of the factors are;
![\rm(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73](https://tex.z-dn.net/?f=%5Crm%286-3i%29%286%2B3i%29%3D6%5E2%2B3%5E2%3D36%2B9%20%3D%2045%5C%5C%5C%5C%20%284%20-5i%29%284%20%2B5i%29%20%3D%204%5E2%2B5%5E2%3D16%2B25%3D41%5C%5C%5C%5C%28-3%2B8i%29%28-3-8i%29%3D%28-3%29%5E2%2B8%5E2%3D9%2B64%3D73)
<h3>What is multiplication?</h3>
Multiplication is the process of calculating the product of two or more numbers.
The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a multiplied by ‘b’.
The multiplication of the given factors finding by using the following formula.
![\rm (a-ib)(a+ib)=a^2+b^2](https://tex.z-dn.net/?f=%5Crm%20%28a-ib%29%28a%2Bib%29%3Da%5E2%2Bb%5E2)
Applying the formula in the given factors;
![\rm (a-ib)(a+ib)=a^2+b^2\\\\(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73](https://tex.z-dn.net/?f=%5Crm%20%28a-ib%29%28a%2Bib%29%3Da%5E2%2Bb%5E2%5C%5C%5C%5C%286-3i%29%286%2B3i%29%3D6%5E2%2B3%5E2%3D36%2B9%20%3D%2045%5C%5C%5C%5C%20%284%20-5i%29%284%20%2B5i%29%20%3D%204%5E2%2B5%5E2%3D16%2B25%3D41%5C%5C%5C%5C%28-3%2B8i%29%28-3-8i%29%3D%28-3%29%5E2%2B8%5E2%3D9%2B64%3D73)
To know more about multiplication click the link given below.
brainly.com/question/13691814