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3 years ago

8

Write an equation for the line that is parallel to the glven line and that passes

2 answers:

sleet_krkn [62]3 years ago

7 0

Answer:

y = x - 23

Step-by-step explanation:

All lines parallel to the given line y = x - 10 have the same slope (1), and the same form of equaiton: y = x + C, where C is a constant.

We know that the new line passes through (-6, -29). Replacing x with -6, y with -29, we get:

-29 = -6 + C, and thus we find that C = -23.

Thus, the desired equation is

y = x - 23

Wewaii [24]3 years ago

4 0

Answer:

The answer to your question is y = x - 23

Step-by-step explanation:

Process

1.- Get the slope of the line

If two lines are parallels, it means that they have the same slope.

y = 1x - 10

Slope = m = 1

2.- Get the equation of the line

y - y1 = m(x - x1)

y + 29 = 1(x + 6) Substitution

y + 29 = x + 6 Expanding

y = x + 6 - 29 Simplifying

y = x - 23

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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

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Slav-nsk [51]

Answer:

Step-by-step explanation:

That really easy Peary it’s not eieoruirbcbdkehbdbs shrine chdiej

4 0

3 years ago

A rectangle has a length of 12 inches and a width of 6 inches. A second rectangle will be drawn with a scale factor of

LenaWriter [7]

Answer:

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Step-by-step explanation:

first one should do the area which results to 36 inches.

secondly do 3 × length of each side of the rectangle since scale factor is gotten by doing the recipricol of the scale factor given.

6 0

3 years ago

Which of the following is another name for a proof by contradiction?

andrew-mc [135]

Answer:

C. Indirect Proof

Step-by-step explanation:

There are two methods of indirect proof: proof of the contrapositive and proof by contradiction.

3 0

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mart [117]

Answer:

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Step-by-step explanation:

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2 years ago