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s2008m [1.1K]
3 years ago
9

Given that the equation y=mx + b where m is 12 and the line passes through the point (-2,8), what would be the value of b?

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

d

Step-by-step explanation:

The answer would be D. We can continue the line from the point (-2,8) because we know the slope so we will continue it forward by two on the x axis. Since we go forward by two we are going up by 24 (12*2) on the y axis so the y intercept (b) would be 8 + 24 which is 32. Sorry if it is hard to understand.

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What is an equation of a line that passes through the point (10,5) and is perpendicular to the line whose equation is y=5/4x-2?
Maurinko [17]

y = mx + b

slope(m) = -4/5

(10,5)...x = 10 and y = 5

now sub into the formula and find b, the y int

5 = -4/5(10) + b

5 = -40/5 + b

5 = -8 + b

5 + 8 = b

13 = b

so ur perpendicular equation is : y = -4/5x + 13 <===

Hope this helps!

3 0
3 years ago
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vova2212 [387]

Answer:

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Step-by-step explanation:


8 0
3 years ago
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Answer:

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4 0
2 years ago
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2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0
2 years ago
What is the length of the longest side of a triangle that has the vertices (-3,2) (3,2) and (3,6)
OleMash [197]

Answer:

Six Units

Step-by-step explanation:

Look at this graph that I made

8 0
3 years ago
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