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I am Lyosha [343]
3 years ago
13

Which equation does NOT represent direct variation? A. Y=x/21 B. y/x=5/8 C. y-3= 3x D. y-5x=0

Mathematics
2 answers:
Serjik [45]3 years ago
6 0
The gradient of the function is constant s the independent variable (x) varies The graph passes through the origin. That is to say when x = 0, y = 0. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear. I believe the answer is C. Hope I helped!
galben [10]3 years ago
6 0
Direct variation means y=kx no other terms so the answer is c because y= 3x+3
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Frequency of y=sin0/3
katen-ka-za [31]

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

6 0
3 years ago
The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

3 0
3 years ago
What the answer is? Please answer fast!
gulaghasi [49]

Answer:

A

Step-by-step explanation:

it includes all the combinations.

4 0
3 years ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
Read 2 more answers
Christy works in a building that is 880 feet tall. She wants to know the height of the building in miles and write it in decimal
vovangra [49]

Answer: 0.166667 miles

Step-by-step explanation:

8 0
2 years ago
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