If your good in geometry answer !!

What is the answer to this problem because I am so confused on this

OlgaM077 [116]

Try this option:
only the 1-st way, where 25x+40x=x(25+40)... =260.
Another way to calculate it is 25*4+40*4=100+160=260.

answer: way 1.

7 0

4 years ago

The equation of a circle is (x + 3)2 + (y + 7)2 = 25. Where is (3, 4) located in relation to the circle?

kupik [55]

Answer:

Midpoint of the circle is (-3, -7)

Distance from (3, 4) to (-3, -7) is > 5 because the x and y difference are alone greater 5.

So, "In the exterior of the circle" is correct.

3 0

3 years ago

The infinite sequence $T=\{t_0,t_1,t_2,\ldots\}$ is defined as $t_0=0,$ $t_1=1,$ and $t_n=t_{n-2}+t_{n-1}$ for all integers $n&g

katrin [286]

$t_n$ are the Fibonacci numbers,

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Taken modulo 7, we get the sequence

0, 1, 1, 2, 3, 5, 1, 6, 0, 6, 6, 5, 4, 2, 6, 1, ...

that repeats with period 16 (this is known as the 7th Pisano period).

This is to say,

$t_a\equiv t_{16n+5}\equiv t_5\equiv5\pmod7$

$t_b\equiv t_{16n+10}\equiv t_{10}\equiv6\pmod7$

$t_c\equiv t_{16n+15}\equiv t_{15}\equiv1\pmod7$

so that

$(t_a+t_b+t_c)\equiv(5+6+1)\equiv\boxed5\pmod7$

6 0

3 years ago

Which interval contains a local minimum for the graphed<br>function?

Anuta_ua [19.1K]

Answer:

[2.5 ,4]

Step-by-step explanation:

The graph in this interval has a vertex while opening up wich means it's a minimum

5 0

3 years ago

15 POINTS: A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stoppe

pav-90 [236]

Answer: S=18

Step-by-step explanation:

D = distance between M and N

S = speed of the boat

S + 2 = speed down streem

S - 2 = speed upstream

T = time on the downstream leg until the boat made its turn

9-T= time on the upstream leg

6(S + 2) = D

T (S + 2) = D - 40

(9-T)(S-2) = D - 40

now we have 3 equations and 3 uknowns

lets multply everything out

6S + 12 = D

ST + 2T = D - 40

9S - 18 - ST + 2T = D - 40

add the second 2 together to get rid of the ST term

9S - 18 + 4T = 2D - 80

and lest subtract them from one annother

2ST - 9S + 18 = 0

if we can find T in terms of S we will have a quadratic equation, and will be able to use the quadratic formula / factor

9S - 18 + 4T = 2(6S + 12) - 80

9S - 18 + 4T = 12 S + 24 - 80

4T = 3S - 38

T = 0.75 S - 9.5

2S(0.75 S - 9.5) - 9S + 18 = 0

1.5 S^2 - 28 S + 18 = 0

S = 18, 2/3

now it doesn't make sense for S to equal -2/3 as it suggests the boat moves backward when it is going up stream. (and that it travels downstream for negative time)

S = 18

8 0

3 years ago