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Damm [24]
3 years ago
12

Write an equation of the direct variation that includes the point (6,-2)

Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer:

y =  -  \frac{1}{3}x

Step-by-step explanation:

The equation of a direct variation is generally written as:

y = mx

Where m is the slope of the equation of the direct variation line.

We want a direct variation equation that contains (6,-2).

We substitute the x=6 and y=-2 to find m.

- 2 =  6m

Divide both sides by 6.

\frac{ - 2}{ 6}  =  \frac{6m}{ 6}

-  \frac{1}{3} = m

The required equation is

y =  -  \frac{1}{3}x

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Converting 52.68 feet per hour into inches per minute
yaroslaw [1]
10.536 inches per minute
7 0
2 years ago
Simplified<br> Quickly please
UkoKoshka [18]

Answer:

3a:20d+35

3b:35u+49q+56

4a:15+20t

4b:96k+120t+84

5a:24t+108m+60

5b:56q+28b+35

6a:14q+10w+24

6b:54v+99+27t

7a:16g+24+24c

7b:30a+55+50d

(i think thats what they are but the picture is small so its kind of hard to see)

Step-by-step explanation:

(since theres 10 total ill just give an example on how i solved 5a)

5(4d+7)

simplify into: (5•4d)+(5•7)

multiply: (20d)+(35)

since you do not know what d is, you cannot add them

remove parentheses once done:20d+35

(you don't need parentheses since multiplication come before addition but its easier to just use them)

<h2>Hope this helps</h2>
4 0
3 years ago
The pic is here , just the question wouldn’t show up right. Any help ?
coldgirl [10]

Answer:

its 4√2i i think

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which graph shows the solution set of the compound inequality or 1.5x-1 &gt; 6.5 or 7x+3 &lt; -25 ?
Dmitry [639]
1.
<span>1.5x-1 > 6.5 
1.5x>1+6.5
</span>1.5x>7.5, divide by 1.5

x>5, is represented by the region to the right of the vertical line x=5 

2. 

<span>7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

</span>x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture

6 0
2 years ago
Read 2 more answers
Is the function even or odd?
sweet [91]

Answer:

f(\theta)=\cos(\theta) is an even function.

Step-by-step explanation:

Recall when it means when a function is even or odd. An even function has the following property:

f(-x)=f(x)

And an odd function has the following property:

f(-x)=-f(x)

So, let's test some values for cos(x).

Let's use π/3:

f(\pi/3)=\cos(\pi/3)

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).

Now, let's find -π/3. This is the same as 5π/3. Thus:

f(-\pi/3)=\cos(-\pi/3)

And again from the unit circle, we can see that this is 1/2.

Therefore, despite the negative, the function outputs the same value.

Cosine is an even function.

Notes:

Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!

6 0
3 years ago
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