#26 What are the solutions to the equation 4x2 - 52x + 169 = 121? A. {1, -12}
B. {-1, 12}
C. {-1, -12}
D. {1, 12}​

D. {1, 12}​

Step-by-step explanation:

4X^2-52x+169=121

The equation can be summarized thus:

4X^2-52x+169-121=0

4X^2-52x+48=0

divide the each number of the equation by 4

4X^2/4-52x/4+48/4=0

x^2-13x+12=0

we need to numbers that when we multiply them the result is 12 and -13 when we add together

-1 and -12(-1-12=-13 and -1*-12=12)

x^2-x-12x+12

x(x-1)-12(x-1)

(x-1)(x-12)

x-1=0 or x-12=0

x=1 or x=12

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.