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Grace [21]
3 years ago
12

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each eq

uation. a 3x+4y–12=0
Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

The slope of the equation is: \frac{-3}{4}

The y intercept is: 3 or (0,3)

Step-by-step explanation:

Consider the provide equation of line.

3x+4y-12=0

The slope intercept form is: y=mx+c

Where m is the slope and c is the y intercept.

Now convert the provided equation into slope intercept form as shown.

4y=12-3x

y=\frac{-3}{4}x+3

Now compare the above equation with slope intercept form.

By the comparison we can concluded that

The slope of the equation is: \frac{-3}{4}

The y intercept is: 3 or (0,3)

VARVARA [1.3K]3 years ago
5 0

\bf 3x + 4y - 12 = 0\implies 4y-12 = -3x\implies 4y=-3x+12 \\\\\\ y = \cfrac{-3x+12}{4}\implies y = \cfrac{-3x}{4}+\cfrac{12}{4} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x\stackrel{\stackrel{b}{\downarrow }}{+3} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance
aalyn [17]
6.8 x 10^13 = 68,000,000,000,000
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3 0
3 years ago
Which expressions can be used to find m∠ABC? Check all that apply.
valina [46]

Answer:

\cos^{-1}(\frac{6.3}{9.8})

\sin^{-1}(\frac{7.5}{9.8})

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

\sin m\angle ABC=\frac{7.5}{9.8}

Take the sine inverse of both sides to get;

m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

\cos m\angle ABC=\frac{6.3}{9.8}

Take the cosine inverse of both sides to get;

m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})

4 0
3 years ago
The radius of a cylinder is 3 cm and the height is 6 cm.
mars1129 [50]

Answer:

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Option D

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2 years ago
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zhenek [66]
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the rabbit by 14 miles per hour

Step-by-step explanation:

The rabbit because if you subtract 35 from 21 it gives you 14

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