Please help!!!!!!!!!!!!!!!

3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midp

Zarrin [17]

Answer:

$(\frac{1}{2}, 2)$

Step-by-step explanation:

Using the midpoint formula, $M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ , we can find the coordinates that represents the position of the ship at noon.

Let $L(-4, 7) = (x_1, y_1)$ (given on the coordinate plane)

$B(5, -3) = (x_2, y_2)$ (given also)

Plug in the values into the formula and solve as follows:

$M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})$

$M(\frac{1}{2}, \frac{7 - 3}{2})$

$M(\frac{1}{2}, \frac{4}{2})$

$M(\frac{1}{2}, 2)$

Position of the ship at noon is best represented at $(\frac{1}{2}, 2)$

5 0

3 years ago

In the following question choose the odd one. a. J81 b. P256 c. G49 d.L144

saul85 [17]

Answer:

a

Step-by-step explanation:

Hello

J is the 10th letter of the alphabet and $10^2=10081$

P is the 16th letter and $16^2=256\\$

G is the 7th letter and $7^2=49$

L is the 12th letter and $12^2=144$

hope this helps

7 0

3 years ago

If you graph 2y+8=6x^2-10x what will be the y intercept?

Rufina [12.5K]

Answer:

Y intercept will be -4.

Step-by-step explanation:

Here we are given our function as

$2y+8=6x^2-10x$

We are asked to determine the y intercept.

The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.

Please note that the point at which graph cuts the y axis have x=0

Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :

$2y+8=6x^2-10x2y+8=6x^2-10x$

Putting x =0

$2y+8=6x^2-10x2y+8=6(0)^2-10(0)$

$2y+8=6x^2-10x2y+8=0-10(0)$

$2y+8=6x^2-10x2y+8=0$

subtracting both sides by 8

$2y+8=6x^2-10x2y=-8$

dividing both sides by 2

=-4

8 0

3 years ago

Consider these functions f(x)=3x-7 g(x)=x+1/x-1 what is the of f(g(3)) answer

JulijaS [17]

Answer:

$\boxed{-1}$

.

Step-by-step explanation:

$g(3) = \frac{3 + 1}{3 - 1} = 2$

$f(g(3)) = 3(2) - 7 = -1$

3 0

2 years ago

You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn $108 in simple interest?

Kruka [31]

Answer:

<em>Interest = $3,888</em>

Step-by-step explanation:

Formula:

I = prt or I = p · r · t

what it stands for:

I = amount of interest

P = principal amount ($1,200)

R = interest rate (in years)(3% into decimal which would be .03)

T = amount of time (in years)($108)

so:

I = prt

I = (1,200)(.03)(108)

I = $3,888

Interest = $3,888

5 0

3 years ago