Step-by-step explanation:
In order to graph this system of equations, you have to put the equations in terms of y so that you can graph it by hand.
For the first equation:
Subtract x on both sides so that it reads to be
For the second equation:
Subtract 3x on both sides and divide by -1 to make the y positive. Remember that when you divide, the sign always flips:
So the two equations you have to graph now are and .
In order to graph, start from your y-intercept for each of the equations and go vertical/horizontal based on the coefficient of your equation. For instance, for your first equation, you would go down -1 and to the right 1. Repeat until your whole equation is graphed. For the second equation your coefficient is 3, so you would go up 3 from -4 and to the right 1. Repeat.
Once you have your equations graphed, you need to find where the two graphs both have solutions. To do this, pick any point from the graph and plug it into the x and y of one equation. If the equation equals itself, then that area is the solution of the graph for that equation. Make sure to do this for both equations. Once you find the area in which both equations have solutions for each other, that is the area that needs to be shaded.
Here is what your graph should look like:
Answer:
Step-by-step explanation:
The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.
__
By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100
This is also the product of the distances on the secant that intersects the tangent:
100 = 5(5+x+9)
20 = x +14 . . . . . divide by 5
x = 6 . . . . . . . . . . subtract 14
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The same is true when the secants intersect <em>inside</em> the circle:
6·9 = y·3
y = 18 . . . . . . divide by 3
Answer:
x = g + y - C
Step-by-step explanation:
<u>Step 1: Add y to both sides</u>
g + y = C+ x - y + y
<em>g + y = C + x</em>
<em />
<u>Step 2: Subtract C from both sides</u>
g + y - C = C + x - C
<em>g + y - C = x</em>
<em />
Answer: x = g + y - C
Answer:
B
Step-by-step explanation:
The probability of obtaining a 3 is
P(3) =
Then after 30 spins the predicted number of times it should land on 3 is
30 × = 5
Answer:
You can see the slope of the graph is
5
/9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5
/ 9 of 1 degree Celsius.
C=
5/
9
(F)
C=
5/
9
(1) =
5/
9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9
/5 degrees Fahrenheit.
The final answer is D. D) I and II only
Step-by-step explanation:
hope i helped