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Art [367]
3 years ago
8

UL

Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

<em>4(y+2) = 3(x+4) and 4y - 3x = 4</em>

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the equation 3x - 4y = 7

Rewrite in slope intercept form

-4y = -3x+7

y = 3/4 x - 7/4

Slope = 3/4

Slope of the required line will also be 3/4  since they are parallel lines

Substitute the slope and the point into the equation above;

y - y0 = m(x-x0)

y +2 = 3/4 (x+4)

4(y+2) = 3(x+4)

4y + 8 = 3x+12

4y - 3x = 12-8

4y - 3x = 4

<em>Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4</em>

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If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)
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Answer:

4^x-5x-14

Step-by-step explanation:

f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

6 0
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Dennis_Churaev [7]
Okay. On the part that's not the whole number, see how the top number is BIGGER than the bottom? That means that it's not simplified. In order to make it simplified, you have to take a whole out of the pat that's not a whole number. Since the denominator is 12, the whole is 12/12. So, subtract it from the 13/12.

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3 years ago
Sam has 3x + 4 dollars saved. Tessa has saved 7x + 16 dollars. Together they
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Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
3 years ago
Factor the expression.HELP ASAP Plz 20 PIONTS<br> 20k + 50
Ymorist [56]

Answer:

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Step-by-step explanation:

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3 years ago
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