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krok68 [10]
4 years ago
7

Write an equation in slope-intercept form of the line that is perpendicular to the line represented by 8x-4y+9=0 and passes thro

ugh the point at (2, 3).
Mathematics
1 answer:
WARRIOR [948]4 years ago
4 0

Answer:

Step-by-step explanation:

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

Solve 8x-4y+9=0 for y so as to find the slope of this given line:

8x + 9 = 4y, or y = 2x + 9/4.  The slope of the given line is 2.  The slope of any line perpendicular to this one is the negative reciprocal of 2, which is -1/2.

Use the point-slope formula:  y - k = m(x - h ).  (h, k) is (2, 3) and m is -1/2.

Then we have:  y - 3 = (-1/2)(x - 2)

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The sum of the 8th element and the 12th element of an arithmetic progression
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Answer:

448

Step-by-step explanation:

aₙ = a₁ + (n-1)d

a₈ = a₁ + (8-1)d = a₁ + 7d

a₁₂ = a₁ + 11d

a₈ + a₁₂ = 246 = 2a₁ + 18d            a₁ + 9d = 123

a₁₀ + a₁₄ = a₁ + 9d + a₁ + 13d = 298     a₁ + 11d = 149

2d = 26

d = 13

a₁ = 6

a₃₅ = 6 + (35-1) x 13 = 448

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Answer: 11 muffins

Step-by-step explanation:

Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:

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