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3 years ago

The graph of a line passes through the points (0,2) and (6,0). What is the equation of the line?

Mathematics

2 answers:

Dahasolnce [82]3 years ago

7 0

Answer:

y= -1/3x + 2

Step-by-step explanation:

y=my+p

m=(0-2)/(6-0) = -1/3

p=2 ,because the line passes through the points (0,2)

Ymorist [56]3 years ago

4 0

Answer:

Step-by-step explanation:

slope = (y₂-y₁)/(x₂-x₁)

= 0-2/6-0

= -2/6 = -1/3

Equation of line:

y-y₁ = m(x - x₁)

y -2 = (-1/3)(x-0) {m=-1/3; (0,2)}

y - 2= -1/3x

y = -1/3x + 2

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Solve for x or find x

Vanyuwa [196]

Answer:

x = 7

Step-by-step explanation:

Assuming the quadrilateral is a parallelogram, then the diagonals bisect each other.

7x - 8 = 41

7x = 49

x = 7

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3 years ago

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In the model below what is x and how do I solve it

tiny-mole [99]

Answer:so that’s a interior triangle so the mean your 2 points in the inside and the equation on the outside.

X=6

Step-by-step explanation:

(8x-4)+(3x+17)=(17x-23)

Combined our alike terms on the left side of the equation. So 8x+3x and -4+17.

11x+13=17x-23

Now this is what the equation should look like after combining ur alike terms.

11x+13=17x-23

-11x. -11x.

now u take the lowest x which is 11x and mince that from 17x but u only mince if it’s a positive but is it’s a negative u add it.

13=6x-23 so if u moved the x on the right side u move non variable number to the left but if u moved the x to the left u move the non variable number to the right so in this case the non variable number would be -23 so now u add 23 on both sides.

36=6x and now u just divide the 36 by 6 and remember to always divide by the x

Now the answer is x=6

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3 years ago

Write the slope-intercept form of an equation that passes through the given points. (4,1),(8,2)

Talja [164]

Answer:

y = 1/4x or y = 0.25x

Step-by-step explanation:

In this question, we are trying to write an equation with the given points.

To solve this question, we would use the slope formula: y2-y1/x2-x1

Find the slope by plugging in variables:

2-1/8-4

1/4 = m

The slope would be 1/4

Find the y intercept:

To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:

1 = 1/4(4) + b

Solve:

1 = 1/4(4) + b

1 = 1 + b

Subtract 1 from both sides

0 = b

This means that the y-intercept is 0.

Our equation will be: y = 1/4x

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3 years ago

Pls help I put a pic of problem

Verdich [7]

Answer:

Step-by-step explanation:

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3 years ago

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What is the surface area of the prism?

Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, $l, w, h, as 15, 4, 9$

The second one has $l, w, h, as 6, 4, 6$

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = $2(wl + hl + hw) - 24$

$2(4*15 + 9*15 + 9*4) - 24$

$462 - 24$

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= $2(wl + hl + hw) - 24$

$= 2(4*6 + 6*6 + 6*4) - 24$

$= 168 - 24 = 144 ft^2$

Surface area of the solid = 438 + 144 = 582 ft²

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

Surface area of prism = 348 in²

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3 years ago