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mariarad [96]
4 years ago
6

If ab= 7x-6 and bc= 12-2x. Then what does ac equal?

Mathematics
1 answer:
ra1l [238]4 years ago
4 0
Ab = (7x-6) →   b = (7x-6)/a   (1)

bc = (12-2x) → b = (12-2x)/c   (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR  a/c = (7x-6)/(12-2x)  (3)

Multiply  both numerators of (3) by the SQUARE of their  respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x)  or ac = -14x² + 96x - 72


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Need help don’t understand
Arturiano [62]

Answer:

a) <EGA and <AGB

b) <FGE and <CGB

c) <FGE and <EGC

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e) <CGD=55

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a) Supplementary angles add up to 180 degrees.

<EGA and <AGB are supplementary.

b) Vertical angles are also called X-angles. Think of them as angles in the vertically opposite corners of the letter X.

<FGE and <CGB are a pair of vertical angles

c) Adjacent angles are next to each other.

<FGE and <EGC are a pair of adjacent angles

d) Complementary angles add up to 90 degrees.

<FGE and <FGA are a pair of complementary angles

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3 years ago
Write the equation of the parabola in vertex form with vertex at (2,-5) and y intercept at -17.
jok3333 [9.3K]
<h3>Answer:</h3>

y = -3(x -2)² -5

<h3>Explanation:</h3>

The equation of a parabola with vertex (h, k) is given by ...

... y = a(x -h)² +k . . . . . . . for some vertical scale factor "a".

We can find the value of "a" by substituting the coordinates of a point that is not the vertex. Here, that point is the y-intercept: (0, -17).

... y = a(x -2)² -5 . . . . . initial form of the equation for the parabola

... -17 = a(-2)² -5 . . . . . substitute y-intercept values

... -12 = 4a . . . . . . . . . . add 5, simplify

... -12/4 = a = -3

The desired equation is ... y = -3(x -2)² -5.

4 0
4 years ago
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