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Mamont248 [21]
3 years ago
12

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
fenix001 [56]3 years ago
7 0

Answer:

2, 7, 114

Step-by-step explanation:

(3 + 0.5x)(38 - 4x)

114 + 19x - 12x - 2x²

-2x² + 7x + 114

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write an equation for the line that is perpendicular to the given line and passes through the given point y-3=8/3(x+2);(-2,3)
Stolb23 [73]

Answer:

y-3=-\frac{3}{8} (x+2)

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.

Point slope:y-y_1=m(x-x_1)

m\neq \frac{8}{3} in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is m=-\frac{3}{8}.

We will substitute m=-\frac{3}{8} and x_1=-2\\y_1=3.

y-3=-\frac{3}{8} (x-(-2))

y-3=-\frac{3}{8} (x+2)

This is the equation of the line perpendicular to the equation given that crosses through (-2,3).

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