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abruzzese [7]
3 years ago
8

Please help answer the question in the picture ​

Mathematics
2 answers:
weeeeeb [17]3 years ago
5 0

Answer:

A

Step-by-step explanation:

All you to do is plug in the the given range [-2,0,5] in the x of your given function (y=-5x +4) and solve for each number.

musickatia [10]3 years ago
3 0
A in the answer for this question
Thank you
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The points P(2,3) , Q(-1,1) and R(5,-1) are the vertices of a triangle PQR.Find the equation of the altitude of the triangle PQR
vfiekz [6]

Answer:

y = \frac{3}{4} x+ \frac{7}{4}

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = \frac{3-(-1)}{2-5} =-\frac{4}{3}

Therefore, the slope of the altitude passing through Q(-1,1) will be \frac{3}{4} {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is y=\frac{3}{4} x + c where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get  

1 = -\frac{3}{4} + c

⇒ c=\frac{7}{4}

Therefore, the equation of the altitude is y = \frac{3}{4} x+ \frac{7}{4} (Answer)

6 0
3 years ago
Type the number to the left of the rational number in the box to the point it represents on the number
svlad2 [7]

Answer:

I put the numbers first because it was easier for me to do but if it confuses you I can redo it

1. C

2. D

3. F

4. B

5. E

6. A

7 0
2 years ago
Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees
a_sh-v [17]

Answer:

y(x)=tan(-log(cos(x))+\frac{\pi }{3} )

Step-by-step explanation:

Rewrite the equation as:

\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)

Isolating \frac{dy}{dx}

\frac{dy}{dx} =tan(x)+tan(x)*y^{2}

Factor:

\frac{dy}{dx} =tan(x)*(1+y^{2} )

Dividing both sides by (1+y^{2} ) and multiplying them by dx

\frac{dy}{1+y^{2} } =tan(x)dx

Integrate both sides:

\int\ \frac{dy}{1+y^{2} } = \int\ tan(x)  dx

Evaluate the integrals:

arctan(y)=-log(cos(x))+C_1

Solving for y:

y(x)=tan(-log(cos(x))+C_1)

Evaluating the initial condition:

y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)

\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1

Converting 60 degrees to radians:

60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}

Replacing C_1 in the diferential equation solution:

y(x)=tan(-log(cos(x))+\frac{\pi }{3} )

3 0
3 years ago
Are f and g inverses of each other? Support your response algebraically
NeTakaya

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - \frac{1}{2}) = x - \frac{1}{2} + \frac{1}{2} = x

g(f(x)) = g(x + \frac{1}{2}) = x + \frac{1}{2} - \frac{1}{2} = x

Hence f(x) and g(x) are the inverse of each other


4 0
3 years ago
WHICH TABLE IS A FUNCTION?<br> TABLE A<br> TABLE B<br> NEITHER<br> BOTH
Alexandra [31]
I believe it neither
3 0
3 years ago
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