2. How many mice are there after 5 years?

Mathematics

1 answer:

bagirrra123 [75]3 years ago

3 0

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In circle K , diameter CD is drawn and point E is located on the circle such that CE=16 and DE=30 .What is the length of the rad

egoroff_w [7]

Answer:

The length of the radius of the circle K is $17\ units$

Step-by-step explanation:

we know that

The triangle CDE is a right triangle with the 90 degree angle at point E

Applying the Pythagoras Theorem

Find the length of CD (diameter of the circle K)

$CD^{2}=CE^{2}+DE^{2}$

substitute the values

$CD^{2}=16^{2}+30^{2}$

$CD^{2}=1,156$

$CD=34\ units$

Find the radius

Remember that the radius is half the diameter

$r=34/2=17\ units$

7 0

3 years ago

X2 + 5x – 4 = 3x - 1

Zanzabum

Answer:

Step-by-step explanation:

$x^2+5x-4=3x-1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\x^2+5x-3x-4=3x-3x-1\\\\x^2+2x-4=-1\qquad\text{add 1 to both sides}\\\\x^2+2x-4+1=-1+1\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x+3)(x-1)=0\iff x+3=0\ \vee\ x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x+3-3=0-3\\\boxed{x=-3}\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}$