5 would be the digit in the tenths place
Okay! I drew the graph and I got Point Q is 0.1 unit to the right of 1.
Knowing the order of the numbers is the best way to get the answer.
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
The sketch of the parabola is attached below
We have the focus
The point
The directrix, c at
The steps to find the equation of the parabola are as follows
Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates;
and
.
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
Step 2
Find the distance between the point P to the directrix
. It is a vertical distance between y and c, expressed as
Step 3
The equation of parabola is then given as
=
⇒ substituting a, b and c
⇒Rearranging and making
the subject gives
Answer:
3x2+5=11
Step-by-step explanation: