To find the value of y for the given value of x, just replace the x in the equation with 9, which is the given value of x.
y = 1 - 2x
Replace x with 9
y = 1 - 2(9)
2 times 9 is 18
y = 1 - 18
Simplify
y = - 17
That's your answer.
Have an awesome day! :)
If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal:
. a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem.
and
. Now we have everything we need to rewrite the equation:
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He washes 60 sq ft in 1/4 of an hour. Multiply 60 by 4 and you get 240 per hour
SOLUTION:
PQR is a right-angle triangle.
Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.
Pythagoras theorem is as displayed below:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.
c = PQ = 16cm
a = PR = 8cm
b = QR = ?
a^2 + b^2 = c^2
( 8 )^2 + b^2 = ( 16 )^2
64 + b^2 = 256
b^2 = 256 - 64
b^2 = 192
b = square root of ( 192 )
b = 13.8564...
b = 13.86 ( to 2 decimal places )
FINAL ANSWER:
Therefore, the length of QR is 13.86 centimetres to 2 decimal places.
Hope this helps! :)
Have a lovely day! <3
A rational inequality is "an inequality which contains a rational expression." When trying to solve rational inequality's you need to first find the zeros, two find the undefined points then you divide the two in order to get your answer.
Hope this helps!
