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astraxan [27]
3 years ago
12

A line that is perpendicular to y=-2/7x+9y and that passes through the point (4, -6)

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
--------------------------------------------------
Find Slope :
--------------------------------------------------
y = -2/7x + 9
Slope = -2/7
Perpendicular slope= 7/2

--------------------------------------------------
Find y - intercept :
--------------------------------------------------
y = mx + b
y = 7/2 x + b
At (4, -6)
-6 = 7/2 (4) + b
-6 = 14 + b
b = -6 - 14
b = -20

--------------------------------------------------
Form equation :
--------------------------------------------------
y = mx + b
y = 7/2 x - 20
2y = 7x - 40

--------------------------------------------------
Answer: 2y = 7x - 40
--------------------------------------------------

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3 0
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vekshin1

Answer:

The correct answer is:

(7s-2)+3+(s+3) = 52, or 8s+4 = 52.

Step-by-step explanation:

Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.

To simplify this, combine like terms. 7s+s = 8s; -2+3+3 = 4. This gives us 8s+4=52.

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3 years ago
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Answer:

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Step-by-step explanation:

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8 0
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