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3 years ago

Complete the equation of the line through (2,1) and (5,-8)

Mathematics

1 answer:

Mila [183]3 years ago

7 0

First we calculate the slope (which is called "m".

Slope = m = (Y2 -Y1) ÷ (X2 -X1)

m = (-8 -1) / (5 -2) = -9 / 3 = -3

We next fill in this equation: b = y -mx

We know m = -3 and we can choose a point (2, 1) to calculate "b"

b = 1 --3 * 2 b = 7

Putting this into y = mx +b

y = -3x +7

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Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X

GarryVolchara [31]

Answer: $9240\ ft^3$

Step-by-step explanation:

Given

Dimension of the bathroom is $12'\times 16'$

Dimension of the bedroom is $14'\times 18$

Dimension of the great room is $20'\times 30'$

Height of the ceiling is $h=10'$

Total area of the cabin

$\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2$

Volume of the cabin is $V=A\times h$

$\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3$

8 0

2 years ago

Story problem to represent 3Divided by 1/2

Masja [62]

There were 3 pieces of pie and two kids wanted them. You gave each give one full piece of pie and then cut the last piece in half. After this, each kid had 1 1/2 pieces of pie.

3 0

3 years ago

Find the distance between the points

Tasya [4]

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (6, 4)

d = $\sqrt{(6-2)^2+(4-1)^2}$

= $\sqrt{4^2+3^2}$

= $\sqrt{16+9}$

= $\sqrt{25}$

= 5

3 0

3 years ago

Read 2 more answers

Some please help I’ll give you Brainliest

Allisa [31]

Answer: line N

Lenght of XY: 3

Step-by-step explanation:

The line N splits <u>XY</u> into two parts

5x+8=9x+12

-9x on each side

-4x+8=12

-8 on each side

-4x=4

divide by -4 on each side

x=-1

8 0

3 years ago

Solve. Find all solutions in [0,2).5 secx cotx+5 secx+ cotx+1=0

Dmitrij [34]

$\begin{gathered} 5sec(x)cot(x)+5sec(x)+cot(x)+1=0 \\ Factoring \\ (cot(x)+1)(5sec(x)+1)=0 \\ cot(x)+1=0 \\ cot(x)=-1 \\ x=cot^{-1}(1) \\ x=\frac{3\pi}{4} \\ \\ 5sec(x)+1=0 \\ 5sec(x)=-1 \\ sec(x)=\frac{-1}{5},\text{ there is no solution} \\ Hence \\ All\text{ solution are }\frac{3\pi}{4}+\pi n,\text{ where n=1,2,3...} \\ \\ \end{gathered}$

5 0

1 year ago