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Delvig [45]
3 years ago
8

Find the equation of the line through point (-2,8) with slope 1/2.

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

you gotta show us the graph

Step-by-step explanation:

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Write all the names of the quadrilateral shown.<br> ???
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Step-by-step explanation:

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Best answer gets the brainliest!<br> Find $a/b$ when $2\log{(a -2b)} = \log{a} + \log{b}$.
andrey2020 [161]

By some properties of logarithms, rewrite the equation as

2\log(a-2b) = \log(a) + \log(b) \\\\ \log(a-2b)^2 = \log(ab)

so that

(<em>a</em> - 2<em>b</em>)² = <em>ab</em>

Expand the left side:

<em>a</em> ² - 4<em>ab</em> + 4<em>b</em> ² = <em>ab</em>

Rearrange terms to get a quadratic equation in <em>a</em>/<em>b</em> :

<em>a</em> ² - 5<em>ab</em> + 4<em>b</em> ² = 0

<em>b</em> must be greater than 0, otherwise log(<em>b</em>) doesn't exist, and the same goes for <em>a</em>. So we can divide by <em>b</em> ² to get

<em>a</em> ²/<em>b</em> ² - 5<em>a</em>/<em>b</em> + 4 = 0

Factorize and solve for <em>a</em>/<em>b</em> :

(<em>a</em>/<em>b</em> - 4) (<em>a</em>/<em>b</em> - 1) = 0

==>   <em>a</em>/<em>b</em> = 4   or   <em>a</em>/<em>b</em> = 1

However, if <em>a</em>/<em>b</em> = 1, then <em>a</em> = <em>b</em> makes <em>a</em> - 2<em>b</em> = -<em>b</em>. But we must have <em>b</em> > 0, so we omit the second solution and end up with

<em>a</em>/<em>b</em> = 4

5 0
2 years ago
Solve each system of equations by substitution:<br> X + Y = 75<br> 10x + Y = 48
Nimfa-mama [501]

Answer:

X= -3;

Y=78

Step-by-step explanation:

A:       X+Y=75

B:       10X+Y=48

B-A:   (10X+Y)-(X+Y)=48-75

          10X+Y-X-Y= - 27

                       9X=-27

                         X= -3;

Now

A is :     -3+Y=75

                 Y=75+3=78

6 0
3 years ago
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