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Minchanka [31]
3 years ago
9

Ax+by=c solve for equation for y

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer:

y=\frac{c}{b}-\frac{ax}{b}

Step-by-step explanation:

ax+by=c\\ax+by-ax=c-ax\\by=c-ax\\by/b=(c-ax)/b\\y=\frac{c-ax}{b} \\y=\frac{c}{b}-\frac{ax}{b}

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Step-by-step explanation:

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Read 2 more answers
Q
Tema [17]

Answer:

y = \frac{1}{2} x+7

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{10-4}{6-(-6)}

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

\frac{6}{12}=\frac{1}{2}

The slope is \frac{1}{2}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = \frac{1}{2}(6)+b

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

y = \frac{1}{2} x+7

4 0
3 years ago
A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall?
inn [45]
This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
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thus
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x=17/tan 37
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6 0
3 years ago
Which logorithmic equation is equivalent to the exponential equation below? e^a=60
Alex73 [517]

Answer:

a = ln(60)

Step-by-step explanation:

4 0
3 years ago
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