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3 years ago

BRAINIEST & 25 POINTS

Mathematics

1 answer:

Illusion [34]3 years ago

3 0

Answer:

The coordinates are (-5,5)

Step-by-step explanation:

Here, we want to find the coordinates that divides the given line segment using the given ratio

Mathematically, the equation to use is the internal division formula

That will be;

(x,y) = (nx1 + mx2)/m + n , (ny1 + my2)/m + n

where m = 1

n = 4

(x1,y1) = ((-8,8)

(x2,y2) = (7,-7)

Substituting these values, we have

(x,y) = (4(-8) + 1(7))/(1+4) , (4(8) + 1(-7)/(1 + 4)

(x,y) = (-32 + 7)/5, (32 -7)/5

(x,y) = (-25/5), (25/5)

(x,y) = (-5,5)

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A gardener wishes to design a rectangular rose garden with one side of the garden along a main road. The fencing for the 3 non-r

Reptile [31]

Answer:

There is no minimum cost for the fencing that can satisfy these conditions.

as the equation obtained for this problem is y = $\frac{7x}{x-6}$ .

Step-by-step explanation:

let length of the rectangular rose garden be x

and breath of the rectangular rose garden be y

then the area of the garden = xy

cost of fencing a foot for the 3 non road sides = $6

and cost of fencing a foot for a road side = $8

total cost of fencing = 6x + 8x + 6y + 6y

so, total cost = 14x + 12y

cost of fencing for every square foot of the area =$2

So, 2xy = 14x + 12y

=> 2xy = 14x + 12y

Also, x and y has to satisfy x>0 and y>0

You can solve for y (or x if you prefer)

2xy-12y=14x

xy - 6y = 7x

y(x-6)=7x

y = $\frac{7x}{x-6}$

we can check that this function has no minimum value.

as we increase x (starting any x > 6 to make y positive) to make y minimal, y will decrease but the product xy will increase.

So, there is not a minimum cost for fencing that can satisfy these conditions.

8 0

3 years ago

Read 2 more answers

A driver averaged 49 miles per hour and took 10 hours to travel between two cities. What is the distance between the two cities

Vesnalui [34]

Answer:

The answer is 490

Step-by-step explanation:

It takes 10 hours at 49MPH so you have to multiply 49 miles × 10 hours which gives you 490 miles

6 0

3 years ago

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

dusya [7]

Equation of a line:
$y=mx+c$

m = gradient: The difference between two y points and two x points.
$m= \frac{\Delta y}{\Delta x}$

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
$y=\textunderscore\textunderscore \ x + \textunderscore$
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, 7) and (0, 1)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (12, 7) and (0, 1)- This gives:

$m= \frac{7-1}{12-0}$
$m= \frac{6}{12}$
$m=0.5$

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

$c=1$

When you plug these values into the equation you get your answer:

$y=0.5x+1$

6 0

3 years ago

Find the missing length

pshichka [43]

Answer:

9 yd

Step-by-step explanation:

15 yd - 6 yd = 9 yd

Please mark my answer as brainiest

7 0

3 years ago

Read 2 more answers

What is the future value of 300000 with an interest rate of 17% per annum for 30 days?

Anvisha [2.4K]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$300000\\
r=rate\to 17\%\to \frac{17}{100}\to &0.17\\
t=years\to \frac{30}{365}\to &\frac{6}{73}
\end{cases}
\\\\\\
A=300000\left(1+0.17\cdot \frac{6}{73}\right)$

3 0

3 years ago

*BRAINIEST & 25 POINTS*

BRAINIEST & 25 POINTS