ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
1 answer:
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Answer:
a) linear
b) nonlinear
c) nonlinear
d) nonlinear
Step-by-step explanation:
For a linear equation the highest degree is 1. If the degree is more than 1, then it is a non-linear equation.
a) 7x=y-4 is a linear equation because the highest degree is one
b)
is not a linear equation because when we multiply through by x, we get
The degree is 2
c) 6xy +3x=2 is non linear because the degree is 2.
d) x=2y³ +y is non-linear be because the degree is 3.
Answer:
(-4, -4)
Step-by-step explanation:
You have to put this in vertex form by completing the square in order to determine the vertex. Begin by setting the quadratic equal to 0 then moving the 12 over by subtraction:
The rules are to take half the linear term, square it, and add it to both sides. Our linear term is 8. Half of 8 is 4, and 4 squared is 16. So we add 16 to both sides:
During this process we have created a perfect square biomial on the left. We will state that, along with simplifying on the right:
Now we will move the 4 back over and set it back to equal y:
And from this you can see that the coordinates of the vertex are (-4, -4)