Which ordered pair (x,y) is a solution to the following?

Suppose point e has a coordinate of 11, and eg= 8. what are the possible coordinates of point g?

viva [34]

So I will be assuming that EG = 8 is the length of the line segment EG. If that's the case, therefore the coordinates of G would simple be:

G =11 ± 8

G = 11 – 8, 11 + 8

G = 3, 19

<span>So G can have a coordinate of 3 or 19.</span>

7 0

3 years ago

If a person rows to his favorite fishing spot 14 miles downstream in the same amount of time that he rows 2 miles upstream and i

Maru [420]

We will use distance formula which states:

$d=r \times t$

where 'd' is the distance, 'r' is rate or speed and 't' is time taken.

So, $t=\frac{d}{r}$

Let 'u' be the speed of boat in still water.

A person rows 14 miles downstream to the fishing spot.

So, the speed of boat downstream = (u+6) mph

Time taken by boat to go downstream = $\frac{14}{u+6}$ hr

He rows 2 miles upstream from the fishing spot.

So, the speed of boat upstream = (u-6) mph

Time taken by boat to go upstream = $\frac{2}{u-6}$ hr

Since, The person took same amount of time in going downstream and then going upstream.

So, $\frac{14}{u+6}=\frac{2}{u-6}$

Cross multiplying, we get

$14 (u-6)= 2(u+6)$

$14u - 84 = 2u + 12$

$12u = 96$

u = 8

So, speed of boat in still water is 8mph.

Now, Time taken in going downstream = $\frac{14}{u+6}$

= $\frac{14}{8+6}$

= 1 hr

Now, Time taken in going upstream = $\frac{2}{u-6}$

= $\frac{2}{8-6}$

= 1 hr

So, total time taken to cover 16 miles is 2 hours.

8 0

3 years ago

John has 4/5 of a pound of dog food left to share equally among 6 dogs in his pet shop. How many pounds of food can he give to

arlik [135]

Answer:

2/15 pound of dog food

Step-by-step explanation:

John has 4/5 of a pound of dog food left to share equally among 6 dogs in his pet shop. How many pounds of food can he give to each dog?

From the above question, we can deduce that:

6 dogs = 4/5 pound of dog food

1 dog = x pound of dog food

Cross Multiply

6 dogs × x pound = 1 dog × 4/5 pound of dog food

x pound = 1 dog × 4/5 pound of dog food/6 dogs

x pounds = 4/5 ÷ 6

x pounds= 4/5 × 1/6

x pounds = 4/30

x pounds = 2/15 pound of dog food

Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.

3 0

3 years ago

Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

4 years ago

What is 67 16/34 + 14/28 =?

kirill [66]

Answer:

67.9705...

Add the two numbers.

67 16/34 + 14/28 = 67.9605...

That is your answer.

6 0

3 years ago

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