Answer: 35
Step-by-step explanation:
Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Answer:
S12=855735
Step-by-step explanation:
if the 3rd term is 45 then,
formula: Sn=ar^n-1
S12=5*3^12-1
S12=5*3^11
S12=5*177147
S12=855735
Answer:
<h2>
B. (x-4)(x+i)(x-i) </h2>
Step-by-step explanation:
x³-4x²+x-4=
=x²(x-4)+(x-4)
=(x-4)(x²+1)
=(x+4)(x-i²)
<h3>=
(x-4)(x+i)(x-i) </h3>
Answer:
a0) 2
x<0
a1) x
0≤x<3
a2) 3
x≥3
Step-by-step explanation:
As shown in the given graph
function of y is a straight line at y=2 line till x=0
hence a0:
y= 2 for x<0
Then function becomes linear line from x=0 till x=3
hence a1:
y= x for 0≤x<3
Now after that graph of function y again shift to straight line from x=3 onward with y-axis value of 3
hence a2:
y= 3 for x≥3 !
