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andrezito [222]
2 years ago
6

Find the equation of a line?​

Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

You can put this equation into point slope formula which is…

y-y1= m(x-x1)

Whilst m is slope
x1 and y1 (x1, y,1)

So in this case lets find the slope first.
Slope is calculated by y2-y1/ x2-x1
Can be any point.

7-(-1) / 1-(-3)
Which is
2

Slope is 2

So plug it in.

y-(-1)= 2(x-(-3)

Solve
y+1= 2x+6
isolate y

Y=2x+5
Your equation is y=2x+5


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Kryger [21]

Answer:

15

Step-by-step explanation:

We add the exponents so it is 10+5=15

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3 years ago
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3) An open top box is to be constructed out of a 90 inch by 70 inch piece of cardboard by cutting squares out of the corners and
Elena L [17]

Answer:

a) The volume in cubic inches is 36000

b) The volume in cubic feet is 125/6

c) The volume in cubic yard is 125/162

Step-by-step explanation:

* Lets study the information of the problem to solve it

- The dimensions of the piece of cardboard are 90 inches by 70 inches

- The side of the cutting square is 15 inches

- The squares are cutting from each corner

∴ Each dimension of the cardboard will decrease by 2 × 15 inches

∴ The new dimensions of the piece of cardboard are;

90 - (15 × 2) = 90 - 30 = 60 inches

70 - (2 × 15) = 70 - 30 = 40 inches

- The dimensions of the box will be:

# Length = 60 inches

# width = 40 inches

# height = 15 inches

- The volume of any box with three different dimensions is

V = Length × width × height

∵ The length = 60 inches

∵ The width = 40 inches

∵ The height = 15 inches

∴ V = 60 × 40 × 15 = 36000 inches³

a) The volume in cubic inches is 36000

* Now lets revise how to change from inch to feet

- 1 foot = 12 inches

∵ 1 foot = 12 inches

∴ 1 foot³ = (12)³ inches³

∴ 1 foot³ = 1728 inches³

∵ The volume of the box is 36000 inches³

∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6  

b) The volume in cubic feet is 125/6

* Now lets revise how to change from feet to yard

- 1 yard = 3 feet

∵ 1 yard = 3 feet

∴ 1 yard³ = (3)³ feet³

∴ 1 yard³ = 27 feet³

∵ The volume of the box is 125/6 feet³

∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162  

c) The volume in cubic yard is 125/162

8 0
3 years ago
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Can someone plz help me out..... ​
Shtirlitz [24]

Answer: The correct answer is 3

Step-by-step explanation:

4³ = 64

The way to check your work is to multiply 4 x 4 x 4:

16 x 4 = 64

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3 years ago
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Please help me idk this ???
nydimaria [60]

Answer:

64

Step-by-step explanation:

16/100 = x / 400

Cross multiply:-

100x = 16*400

x = 6400 / 100

= 64

7 0
3 years ago
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Let f(x) = x2 - 81. Find f-1(x).
dusya [7]
This is equivalent to finding a function g in which g(x^2-81)=x.

We simply reverse the actions of the initial function by adding 81 back and taking the square root.  Therefore, f^{-1}(x)=\sqrt{x+81}.
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