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Dafna1 [17]
3 years ago
11

What is an equation of the line that passes through the point (−1,6) and is parallel to the line 2x+y=9?

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

y = -2x + 3

Step-by-step explanation:

2x + y = 9

y = -2x +9

thus gradient m = -2

y = mx + c

6 = (-2)(-1) + c

c = 3

therefore the eqn is y = -2x + 3

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The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7
miss Akunina [59]

Answer:

Correct answer is:

<em>a. (-9,17)</em>

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of y =f(x).

Putting the values from the given point:

6 =f(6)

That means we are given that f(6) =6 ..... (1)

And we have to find the corresponding coordinates of this point on the graph of y = 4f[\frac{1}3x +9] -7

From equation (1), we know the value of f(6).

so, let us convert f[\frac{1}3x +9] to a form such that it becomes equal to f(6)

\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9

So, let us put x = -9 in the given function:

4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7

Now, using equation <em>(1)</em>, putting f(6)=6

\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17

Therefore, the point the corresponding point is:

<em>a. (-9,17)</em>

8 0
4 years ago
What is the inverse of "f"if f(x)=^3 sqrtx-5
sashaice [31]
<span>y=<span><span>x−5</span><span>−−−−</span>√3

</span></span> <span><span>x=<span><span>y−5</span><span>−−−−</span>√3
 </span></span></span>
8 0
4 years ago
Read 2 more answers
Combine the like terms to create an equivalent expression <br> 4z- (-3z)
NNADVOKAT [17]

Answer:

7z

Step-by-step explanation:

subtracting a negative is like adding

4z - (-3z)\\4z+3z\\7z

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4 years ago
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kati45 [8]

Answer:

The speed of the cheetah is 108 kilometer per hour.

Step-by-step explanation: i found this by taking 1 hour or 60 divided by the 5 for minutes. That was 12 then since the cheetah ran 9 km in 5 minutes i multiplied 9 by twelve to get kph.

8 0
3 years ago
Multiply -4y(-6x2y + 8x3y2).
rodikova [14]
You can download this app called Symbolab but the answer is -144xy^2

3 0
3 years ago
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